
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 1.2s | 5 269× | 1 | valid |
| 409.0ms | 2 987× | 0 | valid |
| 150.0ms | 1 186× | 0 | invalid |
ival-mult: 248.0ms (19.1% of total)const: 193.0ms (14.8% of total)ival-div: 153.0ms (11.8% of total)adjust: 129.0ms (9.9% of total)ival-<: 117.0ms (9% of total)ival-sqrt: 107.0ms (8.2% of total)ival-sub: 106.0ms (8.1% of total)ival-neg: 104.0ms (8% of total)ival-add: 97.0ms (7.5% of total)ival-and: 31.0ms (2.4% of total)exact: 12.0ms (0.9% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 237 | 1 | (1450645332.8301775 0.13359445949881504 4.26341245383725e-14) | 1 | (460359.3880289095 260477.97492462667 966.4205290480446) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 1 | 0 | - | 1 | (14397.4300722322 0.007438044439839158 9.49471100712718e-10) | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 237 | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 236 | 3 |
| - | 1 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 236 | 1 | 2 |
| - | 1 | 6 | 10 |
| number | freq |
|---|---|
| 0 | 19 |
| 1 | 237 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 316× | 1 | valid |
| 17.0ms | 196× | 0 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 14.0ms (31.2% of total)adjust: 7.0ms (15.6% of total)ival-div: 7.0ms (15.6% of total)ival-sqrt: 6.0ms (13.4% of total)ival-add: 4.0ms (8.9% of total)ival-sub: 4.0ms (8.9% of total)ival-neg: 2.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 548× | div-sub |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 1 004× | sub-neg |
| 744× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1233 | 144 |
| 4 | 3210 | 144 |
| 5 | 6057 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 662 | 16 |
| 7 | 1129 | 16 |
| 8 | 2243 | 16 |
| 9 | 2519 | 16 |
| 10 | 2629 | 16 |
| 11 | 2684 | 16 |
| 12 | 2685 | 16 |
| 13 | 2685 | 16 |
| 14 | 2691 | 16 |
| 0 | 2691 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 744× | lower-*.f32 |
| 736× | lower-*.f64 |
| 440× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 40 | 68 |
| 2 | 77 | 68 |
| 3 | 160 | 68 |
| 4 | 240 | 68 |
| 5 | 381 | 68 |
| 6 | 662 | 68 |
| 7 | 1129 | 68 |
| 8 | 2243 | 68 |
| 9 | 2519 | 68 |
| 10 | 2629 | 68 |
| 11 | 2684 | 68 |
| 12 | 2685 | 68 |
| 13 | 2685 | 68 |
| 14 | 2691 | 68 |
| 0 | 2691 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 0.19183017365928973 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 0.26171875 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 42.07166732182016 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 159.0ms | 158× | 1 | valid |
| 9.0ms | 98× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 126.0ms (81% of total)ival-sqrt: 15.0ms (9.6% of total)adjust: 5.0ms (3.2% of total)ival-div: 3.0ms (1.9% of total)ival-add: 2.0ms (1.3% of total)ival-sub: 2.0ms (1.3% of total)ival-neg: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
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#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | egg-herbie |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 7 766× | lower-*.f64 |
| 7 766× | lower-*.f32 |
| 2 546× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6070 | 3204 |
| 0 | 8235 | 3047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64)))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
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(*.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) a) b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
| 4 850× | lower-fma.f64 |
| 4 850× | lower-fma.f32 |
| 3 904× | lower-*.f32 |
| 3 896× | lower-*.f64 |
| 2 332× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 b b)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) |
Compiled 18 566 to 2 120 computations (88.6% saved)
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 35 | 591 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 35 | 592 |
| Status | Accuracy | Program |
|---|---|---|
| 34.2% | (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 34.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 33.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| 33.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 34.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 22.2% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.6% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 93.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 88.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 93.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 91.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a)) | |
| 91.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a)) (*.f64 #s(literal 2 binary64) a)) | |
| 79.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) | |
| 88.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))) | |
| ▶ | 34.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 34.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) | |
| 33.5% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 34.2% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
| 34.2% | (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) | |
| 34.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 32.6% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| ▶ | 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
| 92.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) | |
| 10.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) | |
| 92.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) | |
| ▶ | 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) | |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) | |
| 88.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| 88.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))) |
Compiled 2 142 to 1 276 computations (40.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 320 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 2624 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) | |
| cost-diff | 0 | (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) c) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| cost-diff | 19328 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
| 7 548× | lower-fma.f32 |
| 7 532× | lower-fma.f64 |
| 5 234× | lower-*.f32 |
| 5 204× | lower-*.f64 |
| 3 362× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 769 |
| 0 | 125 | 721 |
| 1 | 227 | 711 |
| 2 | 591 | 691 |
| 3 | 2399 | 669 |
| 0 | 8196 | 665 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/4 binary64) a) |
#s(literal -1/4 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 20 binary64) b) |
#s(literal 20 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(neg.f64 c) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 (neg.f64 c) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
#s(literal -16 binary64) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) |
(*.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/4 binary64) a) |
#s(literal -1/4 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 20 binary64) b) |
#s(literal 20 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c)) |
(neg.f64 c) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 (neg.f64 c) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64))))) b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64))) |
#s(literal -16 binary64) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b) |
(*.f64 #s(literal 2 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) | |
| accuracy | 0.359375 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) | |
| accuracy | 0.5241012695368841 | (pow.f64 (*.f64 c a) #s(literal 2 binary64)) | |
| accuracy | 42.25604565148403 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| accuracy | 0.3671875 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 42.07166732182016 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 42.07166732182016 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.166347509768442 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.2734375 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 42.07166732182016 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0 | (neg.f64 c) | |
| accuracy | 13.289908692241433 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.33984375 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) | |
| accuracy | 0.34212875976844204 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.38119125976844204 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 3.8528366396060885 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
| 191.0ms | 156× | 1 | valid |
| 52.0ms | 100× | 0 | valid |
Compiled 775 to 76 computations (90.2% saved)
ival-div: 42.0ms (24.5% of total)ival-mult: 42.0ms (24.5% of total)ival-pow: 21.0ms (12.3% of total)adjust: 18.0ms (10.5% of total)ival-add: 18.0ms (10.5% of total)ival-sqrt: 11.0ms (6.4% of total)ival-sub: 10.0ms (5.8% of total)ival-neg: 5.0ms (2.9% of total)ival-pow2: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ()) |
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ()) |
#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (/ c b)) (taylor inf c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (/ c b)) (taylor inf c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 c) (taylor inf c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 c) (taylor inf c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (taylor inf c) (#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (/ (pow b 2) c))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) c)))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) (taylor 0 b) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (* (pow b 2) (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) a))) a)) (* -1/2 (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | a | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (* 2 a)) (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a))) (pow (* c a) 2)) |
| 28.0ms | a | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (* 2 a)) (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a))) (pow (* c a) 2)) |
| 27.0ms | c | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (* 2 a)) (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a))) (pow (* c a) 2)) |
| 23.0ms | c | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (* 2 a)) (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a))) (pow (* c a) 2)) |
| 19.0ms | c | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (* 2 a)) (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a))) (pow (* c a) 2)) |
| 1× | egg-herbie |
| 6 986× | lower-*.f64 |
| 6 986× | lower-*.f32 |
| 5 086× | lower-+.f64 |
| 5 086× | lower-+.f32 |
| 5 068× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2896 | 27028 |
| 0 | 8089 | 25888 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(pow b 2) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* 2 (* a c)) |
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* c (+ (* 1/2 (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (* 4 (/ (pow a 3) (pow b 4))))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (* 4 (/ (pow a 2) (pow b 3)))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (* c (- (+ (* -32 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))))) (+ (* 8 (/ (pow a 4) (pow b 7))) (* a (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* -2 (* a (* b c))) |
(* c (- (* c (- (* -8 (/ (pow a 2) b)) (* -2 (/ (pow a 2) b)))) (* 2 (* a b)))) |
(* c (- (* c (- (+ (* -8 (/ (pow a 2) b)) (* -4 (/ (* (pow a 3) c) (pow b 3)))) (* -2 (/ (pow a 2) b)))) (* 2 (* a b)))) |
(* c (- (* c (- (+ (* -8 (/ (pow a 2) b)) (* c (- (* c (- (* -32 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))))) (* 4 (/ (pow a 3) (pow b 3)))))) (* -2 (/ (pow a 2) b)))) (* 2 (* a b)))) |
(* -1 (/ c b)) |
(* c (- (* 1/2 (* c (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3)))))) (/ 1 b))) |
(* c (- (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))))) (/ 1 b))) |
(* c (- (* c (+ (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))) (* c (+ (* 1/2 (* c (- (+ (* -32 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))))) (+ (* 8 (/ (pow a 3) (pow b 7))) (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8)))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))))) (/ 1 b))) |
(pow b 3) |
(+ (* -8 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3)) |
(+ (* (pow c 2) (+ (* -32 (/ (* (pow a 4) (pow c 2)) (pow b 5))) (* -8 (/ (pow a 2) b)))) (pow b 3)) |
(+ (* (pow c 2) (+ (* -8 (/ (pow a 2) b)) (* (pow c 2) (+ (* -256 (/ (* (pow a 6) (pow c 2)) (pow b 9))) (* -32 (/ (pow a 4) (pow b 5))))))) (pow b 3)) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (/ c (pow b 3))) |
(* c (- (* 1/2 (* c (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5)))))) (/ 1 (pow b 3)))) |
(* c (- (* c (+ (* -1/2 (/ (* c (* (+ (* -4 a) (* 2 a)) (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5)))))) (pow b 2))) (* 1/2 (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5))))))) (/ 1 (pow b 3)))) |
(* c (- (* c (+ (* 1/2 (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5))))) (* c (+ (* -1/2 (/ (* (+ (* -4 a) (* 2 a)) (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5))))) (pow b 2))) (* 1/2 (* c (- (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a (pow b 3)))) (+ (* -8 (/ (pow a 3) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -4 a) (* 2 a)) 2) (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5))))) (pow b 4))) (* 2 (/ (* (pow a 2) (- (* -2 (/ a (pow b 5))) (* -2 (/ (+ (* -4 a) (* 2 a)) (pow b 5))))) (pow b 4)))))))))))) (/ 1 (pow b 3)))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -5 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (/ (pow b 2) c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) c))))) |
(* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b 5))))))))))))) |
(* c (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) |
(* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))))) |
(* 1/4 (* (sqrt (/ c (pow a 3))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2))))) |
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2)))))) |
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 5))) (pow b 5)))))))) (pow c 4))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2))))))) |
(* a (* b (* c (sqrt -16)))) |
(* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))) |
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) |
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 1/2 (/ (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* 1/2 (/ (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) c)) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2))))) |
(+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))))) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* 1/2 (/ (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) c)) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2)))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -5 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (pow b 2)) c))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))) |
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/128 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) |
(* -1 (* c (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))) |
(* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/256 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2))))))) |
(* -1 (* a (* b (* c (sqrt -16))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(+ (* -1/2 (/ (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))) c)) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 1/2 (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) c)) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ c a)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 2 (/ (* (pow b 2) (- (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c))) c)) (* 1/2 (- (* -1 (/ b (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) c)) (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -5 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b)))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ b (* -1 (* (sqrt (* a c)) (sqrt -4))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -16))) |
(+ (* -1 b) (* 1/2 (* (sqrt (* a c)) (sqrt -16)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* -1/16 (* (sqrt (/ 1 (* a c))) (* b (sqrt -16)))) 1))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a c))) (sqrt -16))) (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -16)))))))) 1))) |
(* a (* b (* c (sqrt -16)))) |
(* b (+ (* -2 (* (sqrt (* a c)) b)) (* a (* c (sqrt -16))))) |
(* b (+ (* a (* c (sqrt -16))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (pow b 2))) (* 2 (sqrt (* a c))))))) |
(* b (+ (* a (* c (sqrt -16))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -16))))) (* 1/4 (sqrt (/ 1 (* a c)))))) (* 2 (sqrt (* a c))))))) |
(* 1/4 (* (sqrt (/ c a)) (sqrt -16))) |
(+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ c a)) (sqrt -16)))) |
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -16)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* b (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -16))) (* 1/2 (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -16))))))))) (* 1/2 (/ 1 a))))) |
(* a (* b (* c (sqrt -16)))) |
(* b (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -16))))) (* a (* c (sqrt -16))))) |
(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -16))))))))) |
(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -16) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -16))))))))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/2 (* b (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* b (+ (* 1/2 (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c))))))))))) (* 1/2 (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c)))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* b (+ (* 1/2 (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c))))) (* b (+ (* 1/2 (* b (- (* 1/32 (/ 1 (* (pow a 3) (pow c 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c)))) (* a c))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c)))))))))))))))) (* 1/2 (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* 1/4 (/ 1 (* (pow a 2) c))) (* -1/16 (/ (pow (sqrt -4) 2) (* (pow a 2) c))))))))))))))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5)) |
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5)) |
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 2 (* a c)) |
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) |
(+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(* -2 (/ (* a c) b)) |
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -2 (* a c)) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* a (* c (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (/ (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4))))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* a (* c (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (/ (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4)) (/ (* a (* c (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))))) (pow b 6))))))))))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -2 (* a (* b c))) |
(* b (- (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 2 (* a c))))) |
(* b (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 2 (* a c))))) |
(* b (- (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (+ (* 1/2 (/ (- (+ (* -32 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2)))))) (+ (* 8 (* (pow a 3) (pow c 4))) (* c (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))))))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))))) b) |
(pow b 3) |
(* (pow b 3) (+ 1 (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 3) (+ 1 (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* -256 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1 (/ c (pow b 3))) |
(/ (+ (* -1 c) (* 1/2 (/ (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2)))) (pow b 3)) |
(/ (+ (* -1 c) (+ (* -1/2 (/ (* (- (* -4 (* a c)) (* -2 (* a c))) (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c))))))) (pow b 4))) (* 1/2 (/ (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))))) (pow b 3)) |
(/ (+ (* -1 c) (+ (* -1/2 (/ (* (- (* -4 (* a c)) (* -2 (* a c))) (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c))))))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (* 1/2 (/ (- (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a)) (+ (* -8 (* (pow a 3) (pow c 4))) (+ (* -1 (* (pow (- (* -4 (* a c)) (* -2 (* a c))) 2) (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c)))))))) (* 2 (* (pow a 2) (* (pow c 2) (- (* -2 (* a (pow c 2))) (* -2 (* c (- (* -4 (* a c)) (* -2 (* a c)))))))))))) (pow b 6)))))) (pow b 3)) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -16 (* (pow a 2) (pow c 2))) (* 16 (* (pow a 2) (pow c 2)))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (+ (* -2 (* a (* c (- (* 8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2))))))) (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (+ (* 64 (* (pow a 3) (pow c 3))) (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (+ (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -16 (* (pow a 2) (pow c 2))) (* 16 (* (pow a 2) (pow c 2)))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* 2 (pow b 3)) |
(* -1 (* (pow b 3) (- (* -2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* (pow b 3) (- (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* (pow b 3) (- (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* 8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (+ (* 2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 64 (* (pow a 2) (pow c 3))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))) |
(* -1 (* (pow b 3) (- (+ (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 8)))) 1))) |
(* -1 (* (pow b 3) (- (+ (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* 256 (/ (* (pow a 6) (pow c 6)) (pow b 12))))) 1))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ -1/3 (* a b)) |
(* -1 (/ (+ (* 1/2 (/ (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (* 1/3 (/ 1 a))) b)) |
(* -1 (/ (+ (* 1/2 (/ (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* -2/3 (* a (pow c 2))) (+ (* -4/9 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))))))) (pow b 4))) (* 1/3 (/ 1 a)))) b)) |
(* -1 (/ (+ (* 1/2 (/ (- (* -4/3 (* (pow a 2) (pow c 3))) (+ (* -8/9 (* (pow a 2) (pow c 3))) (+ (* -2/3 (* (pow a 2) (* (pow c 2) (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* -2/3 (* a (pow c 2))) (+ (* -4/9 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)))))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* -2/3 (* a (pow c 2))) (+ (* -4/9 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* -2/3 c) (* 2/9 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))))))) (pow b 4))) (* 1/3 (/ 1 a))))) b)) |
(* -2 (/ (pow c 3) (pow b 5))) |
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))) |
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))) |
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* a (+ (* -4 c) (* 2 c))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(* 2 (* a c)) |
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* a (+ (* 1/2 (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (* 4 (/ (pow c 3) (pow b 4))))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* a (- (+ (* -32 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))))) (+ (* 8 (/ (pow c 4) (pow b 7))) (* b (* c (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b)))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* -2 (* a (* b c))) |
(* a (- (* a (- (* -8 (/ (pow c 2) b)) (* -2 (/ (pow c 2) b)))) (* 2 (* b c)))) |
(* a (- (* a (- (+ (* -8 (/ (pow c 2) b)) (* -4 (/ (* a (pow c 3)) (pow b 3)))) (* -2 (/ (pow c 2) b)))) (* 2 (* b c)))) |
(* a (- (* a (- (+ (* -8 (/ (pow c 2) b)) (* a (- (* a (- (* -32 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))))) (* 4 (/ (pow c 3) (pow b 3)))))) (* -2 (/ (pow c 2) b)))) (* 2 (* b c)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* 1/2 (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (* 1/2 (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/2 (* a (- (+ (* -32 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))))) (+ (* 8 (/ (pow c 4) (pow b 7))) (* b (* c (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/2 (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))))))) |
(pow b 3) |
(+ (* -8 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3)) |
(+ (* (pow a 2) (+ (* -32 (/ (* (pow a 2) (pow c 4)) (pow b 5))) (* -8 (/ (pow c 2) b)))) (pow b 3)) |
(+ (* (pow a 2) (+ (* -8 (/ (pow c 2) b)) (* (pow a 2) (+ (* -256 (/ (* (pow a 2) (pow c 6)) (pow b 9))) (* -32 (/ (pow c 4) (pow b 5))))))) (pow b 3)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (/ c (pow b 3))) |
(+ (* -1 (/ c (pow b 3))) (* 1/2 (* a (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5))))))) |
(+ (* -1 (/ c (pow b 3))) (* a (+ (* -1/2 (/ (* a (* (+ (* -4 c) (* 2 c)) (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5)))))) (pow b 2))) (* 1/2 (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5)))))))) |
(+ (* -1 (/ c (pow b 3))) (* a (+ (* 1/2 (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5))))) (* a (+ (* -1/2 (/ (* (+ (* -4 c) (* 2 c)) (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5))))) (pow b 2))) (* 1/2 (* a (- (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) (pow b 3))) (+ (* -8 (/ (pow c 4) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -4 c) (* 2 c)) 2) (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5))))) (pow b 4))) (* 2 (/ (* (pow c 2) (- (* -2 (/ (pow c 2) (pow b 5))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (pow b 5))))) (pow b 4))))))))))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* -5 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (/ (pow b 2) a))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) a))))) |
(* 1/2 (* (sqrt (/ a c)) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) |
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))))) |
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))))))) |
(* a (+ (* -1 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b 5))))))))))))) |
(* a (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) |
(* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))))) |
(* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) |
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2)))) |
(+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2))))) |
(+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (* a c)) (/ (* (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b 5)))))))) (pow a 4))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2)))))) |
(* a (* b (* c (sqrt -16)))) |
(* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))) |
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) |
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 1/2 (* (sqrt (/ c (pow a 3))) (/ (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(/ (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* 1/2 (/ (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) a))) a) |
(/ (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 1/2 (/ (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) a)) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))))) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))))) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))))) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 1/2 (/ (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) a)) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -4)) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))))) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (pow a 2)))))) a) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* -5 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (pow b 2)) a))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) |
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))) |
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a)) (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) |
(* -1 (* a (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (+ (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2))) (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))))) |
(+ (* -1 (/ (+ (* 1/256 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2))))) |
(* -1 (* a (* b (* c (sqrt -16))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 1/2 (/ (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1/2 (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (* 1/2 (/ (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (* (pow b 2) (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) a))) a)) (* -1/2 (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) a))) a)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
| Outputs |
|---|
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* -2 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a c)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
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(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)))) (/.f64 (neg.f64 b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
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(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal -4 binary64) a (neg.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -4 binary64))))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(*.f64 c (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) c) (neg.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -4 binary64)))))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
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(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
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(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -4 binary64))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) c)))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 b (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) c))))) |
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(* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 (*.f64 a b) (sqrt.f64 #s(literal -16 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)))) b)) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))))) |
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(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* 20 (/ (pow c 4) (pow b 7))) |
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(* -5 (/ (* a (pow c 4)) (pow b 7))) |
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(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
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(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
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(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c))))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -4 (* a c)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
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(* b (+ b (* -1 (* (sqrt (* a c)) (sqrt -4))))) |
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(* 1/2 (* (sqrt (* a c)) (sqrt -16))) |
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(* a (* b (* c (sqrt -16)))) |
(*.f64 a (*.f64 b (*.f64 c (sqrt.f64 #s(literal -16 binary64))))) |
(* b (+ (* -2 (* (sqrt (* a c)) b)) (* a (* c (sqrt -16))))) |
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(* 1/4 (* (sqrt (/ c a)) (sqrt -16))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -16 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ c a)) (sqrt -16)))) |
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(* a (* b (* c (sqrt -16)))) |
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(* b (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -16))))) (* a (* c (sqrt -16))))) |
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(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -16))))))))) |
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(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -16) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -16))))))))) |
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(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64))))) a) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64)))))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (* (pow b 2) (- (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) a))) a)) (* -1/2 (- (* -1 (/ b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) a))) a)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) c))))) a))) a))) a))) a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
| 5 046× | lower-fma.f32 |
| 5 030× | lower-fma.f64 |
| 4 656× | lower-*.f32 |
| 4 626× | lower-*.f64 |
| 3 012× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 504 |
| 0 | 125 | 500 |
| 1 | 498 | 482 |
| 2 | 4089 | 472 |
| 0 | 8310 | 472 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 20 binary64) b) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal -6 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) |
(*.f64 (/.f64 #s(literal 20 binary64) b) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 #s(literal 20 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) b)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 20 binary64) b) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 7 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (/.f64 #s(literal 20 binary64) b))) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) #s(literal 20 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b #s(literal 1/20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal -4 binary64))) (*.f64 b #s(literal 1/20 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -20 binary64) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 20 binary64) b) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal -4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 20 binary64) b) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 b #s(literal 1/20 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -20 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) #s(literal 20 binary64)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 b #s(literal 1/20 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal -20 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal -20 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 20 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 b #s(literal 1/20 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal -20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 b #s(literal 1/20 binary64)))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) #s(literal 20 binary64))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) b))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (neg.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (neg.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a c) a) #s(literal 1 binary64)) c) |
(*.f64 (pow.f64 (*.f64 (*.f64 a c) c) #s(literal 1 binary64)) a) |
(*.f64 (*.f64 (*.f64 a c) a) c) |
(*.f64 (*.f64 (*.f64 a c) c) a) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(*.f64 (*.f64 a c) (*.f64 a c)) |
(*.f64 a (pow.f64 (*.f64 c (*.f64 a c)) #s(literal 1 binary64))) |
(*.f64 a (*.f64 c (*.f64 a c))) |
(*.f64 c (pow.f64 (*.f64 a (*.f64 a c)) #s(literal 1 binary64))) |
(*.f64 c (*.f64 a (*.f64 a c))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 a c))) |
(pow.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 a c) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (*.f64 a c)) (log.f64 (*.f64 a c)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 2 binary64))) |
Compiled 135 933 to 8 714 computations (93.6% saved)
70 alts after pruning (68 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 371 | 56 | 2 427 |
| Fresh | 18 | 12 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 392 | 70 | 2 462 |
| Status | Accuracy | Program |
|---|---|---|
| 35.6% | (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) | |
| ▶ | 33.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
| 34.6% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.1% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b)) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.7% | (/.f64 (fma.f64 b (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b)) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 35.4% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) (neg.f64 b)) b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 34.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 a c) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 33.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| 93.3% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (-.f64 (fma.f64 c (fma.f64 c (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b))))) | |
| 34.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 34.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) | |
| 35.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 35.0% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| 33.8% | (/.f64 (*.f64 b (-.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))))) | |
| 35.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 35.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| 79.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 88.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))) | |
| 35.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)))) | |
| 35.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| 35.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))) | |
| 34.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))) | |
| 34.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| ✓ | 34.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| ▶ | 35.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 93.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 a (fma.f64 a (-.f64 (neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 b b)) (fma.f64 #s(literal -1/8 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (*.f64 c c))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) | |
| 88.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) | |
| 92.0% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 a (fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) b)))))) | |
| 92.1% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 c (fma.f64 (neg.f64 c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) (*.f64 #s(literal -1/2 binary64) b)) c))) | |
| 89.0% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))) | |
| 88.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) | |
| 33.5% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) | |
| 33.6% | (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) | |
| 34.2% | (*.f64 (fma.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 35.0% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (neg.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) | |
| 35.0% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| ▶ | 35.0% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
| 35.0% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 33.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) | |
| 33.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) | |
| 34.4% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 34.7% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 33.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)))) | |
| 34.1% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 27.8% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b #s(approx (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 27.8% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(approx (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (fma.f64 c (fma.f64 a #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) c)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) | |
| 35.0% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 33.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) | |
| 34.1% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 30.1% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b #s(approx (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 27.8% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b #s(approx (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 35.0% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 34.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 32.6% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 27.8% | (*.f64 #s(approx (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (fma.f64 c (fma.f64 a #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) c)) (*.f64 b b))) (*.f64 b b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) | |
| 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ▶ | 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) | |
| 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (pow.f64 b #s(literal -1 binary64)) (neg.f64 c))) | |
| 88.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) | |
| 92.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 b b) (*.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 c c) (*.f64 (*.f64 b b) c))))))) (pow.f64 b #s(literal 7 binary64))))) | |
| ▶ | 93.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
Compiled 6 426 to 2 848 computations (55.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) | |
| cost-diff | 1024 | (/.f64 (*.f64 b b) b) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) c) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 6144 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| cost-diff | 6720 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) | |
| cost-diff | 128 | (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) | |
| cost-diff | 6464 | (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) |
| 14 704× | lower-fma.f32 |
| 14 686× | lower-fma.f64 |
| 5 550× | lower-*.f32 |
| 5 516× | lower-*.f64 |
| 2 906× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1123 |
| 0 | 168 | 1107 |
| 1 | 360 | 1049 |
| 2 | 1003 | 1027 |
| 3 | 4545 | 976 |
| 0 | 8199 | 960 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) |
(neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)) |
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(*.f64 c c) |
(*.f64 b b) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
#s(literal 5 binary64) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(pow.f64 a #s(literal 3 binary64)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 b) c) |
(neg.f64 b) |
b |
c |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 b b) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 a c) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 2 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal 2 binary64) |
#s(literal -16 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) |
(/.f64 (*.f64 b b) b) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 a b) (*.f64 (/.f64 c b) c) c)) (neg.f64 b)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 a b) (*.f64 (/.f64 c b) c) c)) (neg.f64 b))) |
(neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)) |
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 a b) (*.f64 (/.f64 c b) c) c)) (neg.f64 b)) |
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b) |
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 a b) (*.f64 (/.f64 c b) c) c)) b) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) |
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 a b) (*.f64 (/.f64 c b) c) c)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 5 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 a b) c) (/.f64 c b))) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 (/.f64 a b) c) (/.f64 c b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 c b) b) c) |
(*.f64 c c) |
(*.f64 b b) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
#s(literal 5 binary64) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) |
(/.f64 (neg.f64 c) b) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 b) c) |
(neg.f64 b) |
b |
c |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(/.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
a |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 #s(literal 2 binary64) a))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 #s(literal 2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 b b) |
(*.f64 #s(literal 2 binary64) b) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 a c) |
(*.f64 c a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) b) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal 2 binary64) |
#s(literal -16 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) |
(/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64))) |
(neg.f64 b) |
(*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) |
b |
(/.f64 (*.f64 b b) b) |
b |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) | |
| accuracy | 0.26171875 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.5241012695368841 | (pow.f64 (*.f64 a c) #s(literal 2 binary64)) | |
| accuracy | 42.0340564925201 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) | |
| accuracy | 0.28125 | (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.3795700195368841 | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 41.73267655025657 | (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 42.07166732182016 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.265625 | (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 0.32421875 | (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 41.73267655025657 | (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0 | (/.f64 (neg.f64 b) c) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) | |
| accuracy | 13.289908692241433 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) | |
| accuracy | 0.34212875976844204 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.379570019536884 | (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.38900375976844204 | (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) | |
| accuracy | 3.8528366396060885 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
| 209.0ms | 158× | 1 | valid |
| 61.0ms | 98× | 0 | valid |
Compiled 1 052 to 104 computations (90.1% saved)
ival-mult: 59.0ms (29.6% of total)ival-div: 38.0ms (19.1% of total)adjust: 25.0ms (12.5% of total)ival-pow: 25.0ms (12.5% of total)ival-add: 25.0ms (12.5% of total)ival-sqrt: 10.0ms (5% of total)ival-sub: 7.0ms (3.5% of total)ival-neg: 5.0ms (2.5% of total)ival-pow2: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) (patch (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) #<representation:binary64>) () ()) |
#s(alt (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) (patch (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) (patch #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 b) c) (patch (/.f64 (neg.f64 b) c) #<representation:binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation:binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (patch (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 b b) b) (patch (/.f64 (*.f64 b b) b) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation:binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (patch (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) (patch (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) a))) a))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | b | @ | 0 | ((+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (/ (* b b) b) (* (/ (* b b) b) 1) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (* (pow a 3) (/ (pow c 4) (pow b 6))) (/ (* (* a a) (pow c 3)) (pow b 4)) (/ (pow c 4) (pow b 6)) (/ 1/2 (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (pow (* a c) 2) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) |
| 20.0ms | a | @ | inf | ((+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (/ (* b b) b) (* (/ (* b b) b) 1) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (* (pow a 3) (/ (pow c 4) (pow b 6))) (/ (* (* a a) (pow c 3)) (pow b 4)) (/ (pow c 4) (pow b 6)) (/ 1/2 (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (pow (* a c) 2) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) |
| 20.0ms | c | @ | inf | ((+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (/ (* b b) b) (* (/ (* b b) b) 1) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (* (pow a 3) (/ (pow c 4) (pow b 6))) (/ (* (* a a) (pow c 3)) (pow b 4)) (/ (pow c 4) (pow b 6)) (/ 1/2 (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (pow (* a c) 2) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) |
| 16.0ms | c | @ | -inf | ((+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (/ (* b b) b) (* (/ (* b b) b) 1) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (* (pow a 3) (/ (pow c 4) (pow b 6))) (/ (* (* a a) (pow c 3)) (pow b 4)) (/ (pow c 4) (pow b 6)) (/ 1/2 (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (pow (* a c) 2) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) |
| 16.0ms | a | @ | -inf | ((+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (/ (* b b) b) (* (/ (* b b) b) 1) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (* (pow a 3) (/ (pow c 4) (pow b 6))) (/ (* (* a a) (pow c 3)) (pow b 4)) (/ (pow c 4) (pow b 6)) (/ 1/2 (* (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (- (+ (* (* -4 c) a) (* b b)) (* b b)) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (* (* 2 a) (+ (* (- (+ b b) (sqrt (+ (* (* -4 c) a) (* b b)))) b) (* (* a c) -4))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (pow (* a c) 2) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) |
| 1× | egg-herbie |
| 7 600× | lower-*.f64 |
| 7 600× | lower-*.f32 |
| 5 084× | lower-fma.f64 |
| 5 084× | lower-fma.f32 |
| 4 952× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2775 | 29699 |
| 0 | 8279 | 28230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) |
(* (pow c 2) (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))) |
(* (pow c 2) (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))))) |
(* c (+ 1 (* c (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 1/2 (/ (pow a 2) (pow b 3))) (/ (* (pow a 3) c) (pow b 5))))))) c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c (- (* 2 b) b))) |
(* c (- (* -2 (* c (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2))))))) (/ 1 (- (* 2 b) b)))) |
(* c (- (* c (+ (* -2 (* c (- (/ (pow a 2) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))))))) (* -2 (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))))) (/ 1 (- (* 2 b) b)))) |
(* c (- (* c (+ (* -2 (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* c (+ (* -2 (* c (- (* 2 (/ (pow a 3) (* (pow b 6) (- (* 2 b) b)))) (+ (* 1/4 (/ (+ (* -4 (/ (* (pow a 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow a 3) (pow b 3))) (+ (* -2 (/ (* (pow a 2) (+ (* -4 a) (* 2 a))) (pow b 3))) (* 8 (/ (pow a 3) (pow b 3)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (+ (* 1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (- (/ (pow a 2) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b))))))) (* (pow b 2) (- (* 2 b) b)))) (* 1/2 (/ (* (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b))))))))) (* -2 (- (/ (pow a 2) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b))))))))))) (/ 1 (- (* 2 b) b)))) |
(pow b 2) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (/ c (* (pow b 2) (- (* 2 b) b)))) |
(* c (- (* 1/2 (/ (* c (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a)))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))) (/ 1 (* (pow b 2) (- (* 2 b) b))))) |
(* c (- (* c (+ (* 1/2 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))) (* 2 (* c (+ (* -1/8 (/ (pow (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) 2) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 4) (pow (- (* 2 b) b) 2))))))))) (/ 1 (* (pow b 2) (- (* 2 b) b))))) |
(* c (- (* c (+ (* 1/2 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))) (* c (+ (* 2 (* c (+ (* -1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (+ (* -1/8 (/ (pow (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) 2) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))) (+ (* -1/8 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b))))) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (+ (* -4 (/ (* (pow a 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow a 3) (pow b 3))) (+ (* -2 (/ (* (pow a 2) (+ (* -4 a) (* 2 a))) (pow b 3))) (* 8 (/ (pow a 3) (pow b 3)))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))))) (* 2 (+ (* -1/8 (/ (pow (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) 2) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))))))) (/ 1 (* (pow b 2) (- (* 2 b) b))))) |
(* 4 (* a (* (pow b 2) (- (* 2 b) b)))) |
(+ (* 2 (* a (* c (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a)))))))) (* 4 (* a (* (pow b 2) (- (* 2 b) b))))) |
(+ (* 4 (* a (* (pow b 2) (- (* 2 b) b)))) (* c (+ (* 2 (* a (* c (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b))))))) (* 2 (* a (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a)))))))))) |
(+ (* 4 (* a (* (pow b 2) (- (* 2 b) b)))) (* c (+ (* 2 (* a (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))))) (* c (+ (* 2 (* a (* c (+ (* -4 (/ (* (pow a 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow a 3) (pow b 3))) (+ (* -2 (/ (* (pow a 2) (+ (* -4 a) (* 2 a))) (pow b 3))) (* 8 (/ (pow a 3) (pow b 3))))))))) (* 2 (* a (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b))))))))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -1/2 (* (pow b 2) (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) |
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -1/2 (* (pow b 2) (* c (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8))))))) (* -1/2 (* (pow b 2) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (+ (* 5 (/ (pow a 3) (pow b 6))) (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (+ (* 5 (/ (pow a 3) (pow b 6))) (/ a (* (pow b 2) (pow c 2)))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (+ (* 5 (/ (pow a 3) (pow b 6))) (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (+ (* 5 (/ (pow a 3) (pow b 6))) (+ (/ 1 (pow c 3)) (/ a (* (pow b 2) (pow c 2))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (/ b c))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (/ b c)) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (* a (pow (sqrt -4) 2)))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* b (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* (pow b 3) c) (* a (* (pow (sqrt -4) 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))))) (pow c 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* b (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* (pow b 3) c) (* a (* (pow (sqrt -4) 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))))) (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* b (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))))) (pow c 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* b (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* (pow b 3) c) (* a (* (pow (sqrt -4) 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))))) (pow c 2)))))) |
(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) |
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* 2 (/ (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* -1 (/ (+ (* -2 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) 2) (* (pow (sqrt -4) 3) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 3)))))) (pow c 2)))) (* -2 (/ (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* -1 (/ (+ (* -2 (/ (* c (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 4) (sqrt -4)))) (* (sqrt (/ c a)) (/ (pow b 4) (sqrt -4))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) (+ (* -1 (* (sqrt (/ c a)) (/ (* (+ (* -2 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) 2) (* (pow (sqrt -4) 3) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 3)))))) (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 3))))))) (pow c 3)))) (+ (* -2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (* a (* c (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2)))))) (+ (* -2 (/ (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* a (* (pow (sqrt -4) 2) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 2))))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))))) 2) (* (pow (sqrt -4) 3) (pow (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4))))) 3)))))))) c) |
(* 2 (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* (pow c 2) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* 2 (/ (* a (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) c)))) |
(* (pow c 2) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* 2 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (pow c 2))) (* 2 (/ (* a (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) c))))) |
(* (pow c 2) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (* (sqrt -4) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* 2 (/ (* a (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 4) (sqrt -4)))) (* (sqrt (/ c a)) (/ (pow b 4) (sqrt -4))))) (pow c 3))) (+ (* 2 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (pow c 2))) (* 2 (/ (* a (+ (* 2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))))) c)))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) b)) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (* a c))) b))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 5))) (* 1/2 (* (sqrt (/ 1 (* a c))) b)))) |
(+ (* -1 (* (sqrt (/ a (pow c 7))) (* b (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 5))) (* 1/2 (* (sqrt (/ 1 (* a c))) b))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* -1 (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))) c)) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* -1 (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))) c)) (* 5 (/ (pow a 3) (pow b 6))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* 2 (/ (pow a 2) (* (pow b 4) c))) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* -1 (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))) c)) (* 5 (/ (pow a 3) (pow b 6))))) |
(* (pow c 4) (+ (* -1 (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))) c)) (* 5 (/ (pow a 3) (pow b 6))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c)))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/4 b)) c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -2 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -2 (/ (- (* 1/8 (/ (* (pow b 3) c) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/4 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c)) (* 2 (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (- (* 1/8 (/ (* (pow b 3) c) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/4 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (* 2 (/ (+ (* -1/4 (/ (* c (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3)))) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (- (* 1/8 (/ (* (pow b 3) c) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/4 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c))) c)) (* 2 (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* -1/4 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (/ (+ (* -1/2 (/ (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3)))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/4 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) 2)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3))))) (* -1/2 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (+ (* -1/2 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) 2)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3))))) (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1))))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/4 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3)))) (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))))) (+ (* -1/2 (/ (* c (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) 2)) (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))))) c)) (* -1/2 (/ (* c (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* a (pow (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c)) |
(* 4 (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* (pow c 2) (+ (* -2 (/ (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) c)) (* 2 (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* a (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))))) c)) (* 2 (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))))) c)) (* 2 (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4))))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))))) |
(+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))))) (sqrt -1/4))))) (pow c 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* 2 (* (pow a 2) (* (pow b 2) (pow c 3)))) (* 5 (* (pow a 3) (pow c 4)))) (pow b 6)) |
(/ (+ (* 5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* 2 (* (pow a 2) (pow c 3))) (* a (* (pow b 2) (pow c 2)))))) (pow b 6)) |
(/ (+ (* 5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* 2 (* (pow a 2) (pow c 3))) (* a (* (pow b 2) (pow c 2)))))) (pow b 6)) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* 2 (* (pow a 2) (* (pow b 2) (pow c 3)))) (* 5 (* (pow a 3) (pow c 4)))) (pow b 6)) |
(/ (+ (* 5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* 2 (* (pow a 2) (pow c 3))) (* a (* (pow b 2) (pow c 2)))))) (pow b 6)) |
(/ (+ (* 5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* 2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* a (pow c 2)) (* (pow b 2) c)))))) (pow b 6)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (/ b c))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/4 (/ 1 c))))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 c))))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* b (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2)))))))) (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))) (sqrt -4)))) (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))))) (* -2 (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2)))))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))) (* b (+ (* -2 (* b (- (* 3/8 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))) (sqrt -4)))) (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 2) (* c (pow (sqrt -4) 2)))))))) (sqrt -4)))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))) (sqrt -4)))))))) (* -2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (- (* 1/4 (/ 1 a)) (* -1/4 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))) (sqrt -4)))) (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b)))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
b |
b |
b |
b |
b |
b |
b |
b |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) |
(+ (* 1/8 (/ (* b (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2)))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* b (+ (* 1/8 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))) (* 2 (* b (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) 2) (pow (sqrt -4) 3)))) (* 1/16 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* b (+ (* 1/8 (/ (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))) (* b (+ (* 2 (* b (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4)))))) (pow (sqrt -4) 3)))) (+ (* 1/16 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) 2) (pow (sqrt -4) 3)))) (* 1/16 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2))))))) (sqrt -4)))))))) (* 2 (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))) 2) (pow (sqrt -4) 3)))) (* 1/16 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4))))) (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 2)))))))))))) |
(* -8 (* (sqrt (* (pow a 5) (pow c 3))) (sqrt -4))) |
(+ (* -8 (* (sqrt (* (pow a 5) (pow c 3))) (sqrt -4))) (* 2 (* a (* b (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))))))) |
(+ (* -8 (* (sqrt (* (pow a 5) (pow c 3))) (sqrt -4))) (* b (+ (* 2 (* a (* b (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4)))))))) (* 2 (* a (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2)))))))))) |
(+ (* -8 (* (sqrt (* (pow a 5) (pow c 3))) (sqrt -4))) (* b (+ (* 2 (* a (+ (* -4 (* a c)) (* -1 (* a (* c (pow (sqrt -4) 2))))))) (* b (+ (* 2 (* a b)) (* 2 (* a (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 (* (sqrt (* a c)) (sqrt -4)))))))))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) b)) |
(* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) |
(* b (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b 2) (+ (* -1/16 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 3/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 2))))))) |
(* b (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b 2) (+ (* -1/16 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* (pow b 2) (+ (* -5/2048 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 2))) (* 3/256 (sqrt (/ 1 (* (pow a 5) (pow c 5))))))))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (* a (pow c 2)))) (pow b 2)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) |
(+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ (* (pow a 2) c) (pow b 4)))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (/ (* (pow a 3) (pow c 2)) (pow b 6)))) (* 1/2 (/ 1 c)))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ c b)) |
(/ (+ (* -2 (/ (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2))) (* -1 c)) b) |
(/ (+ (* -2 (/ (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2))) (+ (* -2 (/ (- (* (pow a 2) (pow c 3)) (+ (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 1/2 (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))))))) (pow b 4))) (* -1 c))) b) |
(/ (+ (* -2 (/ (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2))) (+ (* -2 (/ (- (* 2 (* (pow a 3) (pow c 4))) (+ (* 1/4 (* c (+ (* -8 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (- (* -4 (* a c)) (* -2 (* a c)))))) (* 8 (* (pow a 3) (pow c 3))))))) (+ (* 1/2 (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (- (* (pow a 2) (pow c 3)) (+ (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 1/2 (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))))))))) (* 1/2 (* (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))))))))))) (pow b 6))) (+ (* -2 (/ (- (* (pow a 2) (pow c 3)) (+ (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 1/2 (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (- (* 1/2 (* c (- (* -4 (* a c)) (* -2 (* a c))))) (* 1/4 (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))))))))) (pow b 4))) (* -1 c)))) b) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
b |
b |
b |
b |
b |
b |
b |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1 (/ c (pow b 3))) |
(/ (+ (* -1 c) (* 1/2 (/ (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2)))) (pow b 3)) |
(/ (+ (* -1 c) (+ (* 1/2 (/ (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (* 2 (/ (+ (* -1/8 (* c (pow (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) 2))) (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 4))))) (pow b 3)) |
(/ (+ (* -1 c) (+ (* 1/2 (/ (* c (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (+ (* 2 (/ (+ (* -1/2 (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (+ (* -1/8 (* c (pow (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) 2))) (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (+ (* -1/8 (* c (* (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (* 1/4 (* c (+ (* -8 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (- (* -4 (* a c)) (* -2 (* a c)))))) (* 8 (* (pow a 3) (pow c 3))))))))) (pow b 6))) (* 2 (/ (+ (* -1/8 (* c (pow (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c))))) 2))) (* 1/4 (* c (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 4)))))) (pow b 3)) |
(* 4 (* a (pow b 3))) |
(* (pow b 3) (+ (* 2 (/ (* a (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (* 4 a))) |
(* (pow b 3) (+ (* 2 (/ (* a (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (+ (* 2 (/ (* a (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 4 a)))) |
(* (pow b 3) (+ (* 2 (/ (* a (+ (* -8 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (- (* -4 (* a c)) (* -2 (* a c)))))) (* 8 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 2 (/ (* a (+ (* -2 (* a c)) (* 2 (- (* -4 (* a c)) (* -2 (* a c)))))) (pow b 2))) (+ (* 2 (/ (* a (+ (* -2 (* a (* c (- (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 4 a))))) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))))) |
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -1/2 (/ (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))) (pow b 6)))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* a (pow c 2))) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 4))) (* a (pow c 2)))) (pow b 2)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) |
(+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 (/ b c)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/2 a) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (/ (* (pow a 3) (pow c 2)) (pow b 4)))) b)) |
(* -1 (/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 1/2 a) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -2 (/ (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c)))) (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c)))) (pow b 2))) (+ (* -2 (/ (- (* 1/3 (* a (pow c 2))) (+ (* -1/6 (/ (* (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c))))) (* a c))) (* 1/12 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c))))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c)))) (pow b 2))) (+ (* -2 (/ (- (* 1/3 (* a (pow c 2))) (+ (* -1/6 (/ (* (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c))))) (* a c))) (* 1/12 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c))))) (pow b 4))) (+ (* -2 (/ (- (* 2/3 (* (pow a 2) (pow c 3))) (+ (* -1/6 (/ (* (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c))))) (* a c))) (+ (* -1/6 (/ (* (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (- (* 1/3 (* a (pow c 2))) (+ (* -1/6 (/ (* (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (- (* -1/6 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)) (* 1/12 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) c))))) (* a c))) (* 1/12 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c)))))) (* a c))) (* 1/12 (/ (+ (* -4 (* (pow a 3) (* (pow c 3) (+ (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -3/2 (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (+ (* 4 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))))) (* (pow a 2) c)))))) (pow b 6))) (/ 1 a)))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
b |
b |
b |
b |
b |
b |
b |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ -1/3 (* a b)) |
(* -1 (/ (+ (* 1/18 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) (* (pow b 2) c)))) (* 1/3 (/ 1 a))) b)) |
(* -1 (/ (+ (* 1/18 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) (* (pow b 2) c)))) (+ (* 2 (/ (+ (* 1/216 (/ (pow (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) 2) (* (pow a 3) (pow c 2)))) (* 1/36 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c)))) (pow b 4))) (* 1/3 (/ 1 a)))) b)) |
(* -1 (/ (+ (* 1/18 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (* (pow a 2) (* (pow b 2) c)))) (+ (* 2 (/ (+ (* 1/216 (/ (* (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) (* (pow a 3) (pow c 2)))) (+ (* 1/36 (/ (+ (* -4 (* (pow a 3) (* (pow c 3) (+ (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -3/2 (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (+ (* 4 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))))) (* (pow a 2) c))) (* 1/6 (/ (* (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) (+ (* 1/216 (/ (pow (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) 2) (* (pow a 3) (pow c 2)))) (* 1/36 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c))))) (* a c))))) (pow b 6))) (+ (* 2 (/ (+ (* 1/216 (/ (pow (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c))))))) 2) (* (pow a 3) (pow c 2)))) (* 1/36 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3))))) (* (pow a 2) c)))) (pow b 4))) (* 1/3 (/ 1 a))))) b)) |
(* 12 (* (pow a 2) (* b c))) |
(* -1 (* b (+ (* -12 (* (pow a 2) c)) (* 2 (/ (* a (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2)))))) |
(* -1 (* b (+ (* -12 (* (pow a 2) c)) (+ (* 2 (/ (* a (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3)))))) (pow b 4))) (* 2 (/ (* a (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2))))))) |
(* -1 (* b (+ (* -12 (* (pow a 2) c)) (+ (* 2 (/ (* a (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3)))))) (pow b 4))) (+ (* 2 (/ (* a (+ (* -6 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 2))) (* 2 (/ (* a (+ (* -4 (* (pow a 3) (* (pow c 3) (+ (* -4 (* a c)) (* -2 (* a c)))))) (+ (* -3/2 (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (+ (* 4 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4))))))) (pow b 6)))))))) |
-1 |
(- (* 2 (/ (* a c) (pow b 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))) (pow b 6))) (* 2 (/ (* a c) (pow b 2))))) 1) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (* 2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) |
(* a (+ (* a (+ (* 2 (/ (pow c 3) (pow b 4))) (* 5 (/ (* a (pow c 4)) (pow b 6))))) (/ (pow c 2) (pow b 2)))) |
(* a (+ (* a (+ (* 2 (/ (pow c 3) (pow b 4))) (* 5 (/ (* a (pow c 4)) (pow b 6))))) (/ (pow c 2) (pow b 2)))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2))))) |
(+ c (* a (+ (* a (+ (* 2 (/ (pow c 3) (pow b 4))) (* 5 (/ (* a (pow c 4)) (pow b 6))))) (/ (pow c 2) (pow b 2))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* 1/2 (/ c (pow b 3))) (/ (* a (pow c 2)) (pow b 5)))) (* 1/2 (/ 1 b))))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c (- (* 2 b) b))) |
(+ (* -2 (* a (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2))))))) (* -1 (/ c (- (* 2 b) b)))) |
(+ (* -1 (/ c (- (* 2 b) b))) (* a (+ (* -2 (* a (- (/ (pow c 3) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))))))) (* -2 (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2))))))))) |
(+ (* -1 (/ c (- (* 2 b) b))) (* a (+ (* -2 (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* a (+ (* -2 (* a (- (* 2 (/ (pow c 4) (* (pow b 6) (- (* 2 b) b)))) (+ (* 1/4 (/ (* c (+ (* -4 (/ (* (pow c 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow c 3) (pow b 3))) (+ (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (pow b 3))) (* 8 (/ (pow c 3) (pow b 3))))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (+ (* 1/2 (/ (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (- (/ (pow c 3) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b))))))) (* (pow b 2) (- (* 2 b) b)))) (* 1/2 (/ (* (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b)))) (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b))))))))) (* -2 (- (/ (pow c 3) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (- (* 1/2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))))))))))) |
(pow b 2) |
(+ (* a (+ (* -4 c) (* 2 c))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (/ c (* (pow b 2) (- (* 2 b) b)))) |
(+ (* -1 (/ c (* (pow b 2) (- (* 2 b) b)))) (* 1/2 (/ (* a (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))))) (* (pow b 4) (pow (- (* 2 b) b) 2))))) |
(+ (* -1 (/ c (* (pow b 2) (- (* 2 b) b)))) (* a (+ (* 1/2 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))) (* 2 (* a (+ (* -1/8 (/ (* c (pow (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) 2)) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))))))) |
(+ (* -1 (/ c (* (pow b 2) (- (* 2 b) b)))) (* a (+ (* 1/2 (/ (* c (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))) (* a (+ (* 2 (* a (+ (* -1/2 (/ (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (+ (* -1/8 (/ (* c (pow (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) 2)) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))) (+ (* -1/8 (/ (* c (* (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b)))))) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (* c (+ (* -4 (/ (* (pow c 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow c 3) (pow b 3))) (+ (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (pow b 3))) (* 8 (/ (pow c 3) (pow b 3))))))) (* (pow b 4) (pow (- (* 2 b) b) 2)))))))) (* 2 (+ (* -1/8 (/ (* c (pow (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))) 2)) (* (pow b 6) (pow (- (* 2 b) b) 3)))) (* 1/4 (/ (* c (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))) (* (pow b 4) (pow (- (* 2 b) b) 2))))))))))) |
(* 4 (* a (* (pow b 2) (- (* 2 b) b)))) |
(* a (+ (* 2 (* a (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c))))))) (* 4 (* (pow b 2) (- (* 2 b) b))))) |
(* a (+ (* 4 (* (pow b 2) (- (* 2 b) b))) (* a (+ (* 2 (* a (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b)))))) (* 2 (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))))))) |
(* a (+ (* 4 (* (pow b 2) (- (* 2 b) b))) (* a (+ (* 2 (+ (* -2 (* c (- (* 2 b) b))) (* 2 (* b (+ (* -4 c) (* 2 c)))))) (* a (+ (* 2 (* a (+ (* -4 (/ (* (pow c 3) (- (* 2 b) b)) (pow b 4))) (+ (* -4 (/ (pow c 3) (pow b 3))) (+ (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (pow b 3))) (* 8 (/ (pow c 3) (pow b 3)))))))) (* 2 (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) b)) (+ (* -2 (/ (* (pow c 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow c 2) b))))))))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -1/2 (* a (* (pow b 2) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) |
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -1/2 (* a (* (pow b 2) (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))) (* -1/2 (* (pow b 2) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (* 5 (/ (pow c 4) (pow b 6))))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (+ (* 5 (/ (pow c 4) (pow b 6))) (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (+ (* 5 (/ (pow c 4) (pow b 6))) (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (* 5 (/ (pow c 4) (pow b 6))))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (+ (* 5 (/ (pow c 4) (pow b 6))) (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (+ (* 5 (/ (pow c 4) (pow b 6))) (+ (/ c (pow a 3)) (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (/ b (* a c))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (/ b (* a c))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* b (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* b (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))))) (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* b (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3))))) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 4) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 4) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* b (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))))) (pow a 2)))))) a) |
(* a (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* -2 (* (sqrt (/ c (pow a 3))) (/ 1 (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* 2 (/ (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) a))) (pow a 2)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))))) (pow a 2))) (* 2 (/ (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) a)))) (pow a 2)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))))) (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 4) (* (pow (sqrt -4) 3) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 4) (* (pow (sqrt -4) 3) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))))) (pow a 3))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -1/2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (* (pow (sqrt -4) 3) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* 2 (/ (* a (pow b 3)) (* (pow (sqrt -4) 2) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))))) (pow a 2))) (* 2 (/ (+ (* 2 (* (sqrt (* a c)) (/ (pow b 2) (* (sqrt -4) (pow (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))) 2))))) (/ (* a b) (* (pow (sqrt -4) 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) a))))) (pow a 2)) |
(* 2 (* (sqrt (* (pow a 5) c)) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* (pow a 3) (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* 2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) a)))) |
(* (pow a 3) (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (pow a 2))) (* 2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) a))))) |
(* (pow a 3) (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 4) (sqrt -4)))) (* (sqrt (/ a c)) (/ (pow b 4) (sqrt -4)))) (pow a 3))) (+ (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (pow a 2))) (* 2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) a)))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) b)) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (* a c))) b))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 5))) (* 1/2 (* (sqrt (/ 1 (* a c))) b)))) |
(+ (* -1 (* (sqrt (/ c (pow a 7))) (* b (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 5))) (* 1/2 (* (sqrt (/ 1 (* a c))) b))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -2 (/ (pow c 3) (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 4))) (/ (pow c 2) (* a (pow b 2)))) a))))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 4))) (/ (pow c 2) (* a (pow b 2)))) a))))) |
(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -2 (/ (pow c 3) (* a (pow b 4))))))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 4))) (/ (pow c 2) (* a (pow b 2)))) a))))) |
(* -1 (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))) a)) (* 2 (/ (pow c 3) (pow b 4)))) a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/4 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(/ -1/4 c) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 2 (/ (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (/ (- (* 1/8 (/ (* a (pow b 3)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* -1 (/ (+ (* -2 (- (* 1/8 (/ (* a (pow b 3)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))))) (* -2 (/ (+ (* -1/4 (/ (* a (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (- (* 1/8 (/ (* a (pow b 3)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (- (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (* -1/4 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) a))) a))) a))) a)) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 1/2 (/ (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) (pow a 2)) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (/ (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) 2)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))))) a)) (* -1/2 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) a))) (pow a 2)) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) 2)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))))) (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/4 (/ (* a (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (* (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))))) a)) (* 2 (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) 2)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))))))) a)) (* -1/2 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) a))) (pow a 2)) |
(* 4 (* (sqrt (* (pow a 5) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) a))))) |
(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) a))) a))))) |
(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (* 2 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1))))) a))) a))) a))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4))))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))))) |
(+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))))) |
| Outputs |
|---|
(/ (* a (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(* (pow c 2) (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b)))) |
(* (pow c 2) (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b)))) |
(* (pow c 2) (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b)))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* c (+ 1 (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))) |
(* c (+ 1 (* c (+ (* c (+ (* 2 (/ (pow a 2) (pow b 4))) (* 5 (/ (* (pow a 3) c) (pow b 6))))) (/ a (pow b 2)))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 a (*.f64 b b))) #s(literal 1 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* -1 (/ b c)) |
(/.f64 (neg.f64 b) c) |
(* -1 (/ b c)) |
(/.f64 (neg.f64 b) c) |
(* -1 (/ b c)) |
(/.f64 (neg.f64 b) c) |
(* -1 (/ b c)) |
(/.f64 (neg.f64 b) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -1/2 (/ b c)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(/.f64 (fma.f64 c (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 1/2 (/ (pow a 2) (pow b 3))) (/ (* (pow a 3) c) (pow b 5))))))) c) |
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ -1/4 c) |
(/.f64 #s(literal -1/4 binary64) c) |
(/ -1/4 c) |
(/.f64 #s(literal -1/4 binary64) c) |
(/ -1/4 c) |
(/.f64 #s(literal -1/4 binary64) c) |
(/ -1/4 c) |
(/.f64 #s(literal -1/4 binary64) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(* -1 (/ c (- (* 2 b) b))) |
(/.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 2 binary64) b) b)) |
(* c (- (* -2 (* c (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2))))))) (/ 1 (- (* 2 b) b)))) |
(*.f64 c (fma.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) b) b))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) b) #s(literal 2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) b) b))))) |
(* c (- (* c (+ (* -2 (* c (- (/ (pow a 2) (* (pow b 4) (- (* 2 b) b))) (+ (* 1/4 (/ (+ (* -2 (/ (* a (+ (* -4 a) (* 2 a))) b)) (+ (* -2 (/ (* (pow a 2) (- (* 2 b) b)) (pow b 2))) (* 4 (/ (pow a 2) b)))) (* (pow b 2) (pow (- (* 2 b) b) 2)))) (* 1/2 (/ (* (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))) (* (pow b 2) (- (* 2 b) b)))))))) (* -2 (- (* 1/2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b)))) (* 1/4 (/ (+ (* -2 (* a (- (* 2 b) b))) (* 2 (* b (+ (* -4 a) (* 2 a))))) (* (pow b 2) (pow (- (* 2 b) b) 2)))))))) (/ 1 (- (* 2 b) b)))) |
(*.f64 c (fma.f64 c (*.f64 #s(literal -2 binary64) (fma.f64 c (-.f64 (/.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) b) b))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) b) #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal 2 binary64) b) b))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) b)))) (*.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) b) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) b) b))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) b)) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a #s(literal -2 binary64))))) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) b) #s(literal 2 binary64)))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) b) b))))) |
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(/ -1/4 c) |
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(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
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(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
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(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
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(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* 4 (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) a))))) |
(* (pow c 2) (+ (* -2 (/ (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
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(* (pow c 2) (+ (* -1 (/ (+ (* -2 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))) c)) (* 2 (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
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(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* a (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 4) (sqrt -1)))))) c)) (* 2 (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (* 2 (pow b 3))))))) c)) (* 2 (* a (+ (* 4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) |
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(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
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(* (pow a 2) (pow c 2)) |
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(* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))) |
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b |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(/.f64 #s(literal -1/4 binary64) c) |
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(/ -1/4 c) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* -1 (/ c b)) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
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(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* -2 (/ (* a c) b)) |
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(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
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b |
b |
b |
b |
b |
b |
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(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
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(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
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(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
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(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/ (* (pow a 3) (pow c 4)) (pow b 6)) |
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
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(/ (pow c 4) (pow b 6)) |
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(/ (pow c 4) (pow b 6)) |
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(* 2 (/ (* a c) b)) |
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1 |
#s(literal 1 binary64) |
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(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
(/ (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 2))) (* a (pow c 2))) (pow b 2)) |
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c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) |
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c |
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(* (pow a 3) (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -4) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 4) (sqrt -4)))) (* (sqrt (/ a c)) (/ (pow b 4) (sqrt -4)))) (pow a 3))) (+ (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) (sqrt -4)))) (* 2 (pow b 3)))) (pow a 2))) (* 2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -4)))) (* b (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4))))))) a)))))) |
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(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) b)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) b) |
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(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
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(* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
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(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7)))))) |
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(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* -1 (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
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(/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 1/2 (/ (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) (pow a 2)) |
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(/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) 2)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))))) (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -1/4 (/ (* a (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (* (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))))) a)) (* 2 (+ (* -1/4 (/ (* a (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (* -1/8 (* (sqrt (/ (pow a 3) c)) (/ (* (sqrt -1) (pow (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) 2)) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))))))) a)) (* -1/2 (/ (* a (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (pow (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) a))) (pow a 2)) |
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(* 4 (* (sqrt (* (pow a 5) c)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
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(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) a))))) |
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(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 2 (/ (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3)))) a))) a))))) |
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(* -1 (* (pow a 3) (+ (* -4 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* 4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -2 (+ (* -1/2 (pow b 3)) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (* 2 (pow b 3))))) (* 2 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 4) (sqrt -1))))) a))) a))) a))))) |
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(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
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(* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))) |
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(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4))))) |
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(fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) |
(+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 5) (sqrt -1)) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 3) (sqrt -1)) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (sqrt -1/4)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 b (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) |
| 5 356× | lower-fma.f32 |
| 5 338× | lower-fma.f64 |
| 4 852× | lower-*.f32 |
| 4 818× | lower-*.f64 |
| 3 084× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 700 |
| 0 | 168 | 692 |
| 1 | 760 | 568 |
| 2 | 6670 | 568 |
| 0 | 8315 | 557 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
(/.f64 (neg.f64 b) c) |
(neg.f64 b) |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b b) b) |
(*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(pow.f64 (*.f64 a c) #s(literal 2 binary64)) |
(/.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))))) (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (*.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) a (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64))))))) |
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b |
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(*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) a) |
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(fma.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 c a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) b (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 c a)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(fma.f64 b (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) a) b) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 c a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 c a)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(+.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 c a) a) c) |
(*.f64 (*.f64 (*.f64 a a) c) c) |
(*.f64 (exp.f64 (log.f64 (*.f64 c a))) (exp.f64 (log.f64 (*.f64 c a)))) |
(*.f64 (*.f64 (*.f64 c a) c) a) |
(*.f64 (*.f64 c a) (*.f64 c a)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(*.f64 c (*.f64 a (*.f64 c a))) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(*.f64 a (*.f64 c (*.f64 c a))) |
(*.f64 a (*.f64 (*.f64 c a) c)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 c a))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 c a)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) b) |
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(*.f64 (neg.f64 b) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(*.f64 b (pow.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b))) |
(/.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b)) |
(/.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(neg.f64 (/.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(neg.f64 (/.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) (/.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64))) |
Compiled 131 861 to 8 678 computations (93.4% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 301 | 15 | 2 316 |
| Fresh | 52 | 11 | 63 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 358 | 28 | 2 386 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (*.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) | |
| 99.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 a (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) | |
| 34.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 34.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 99.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 35.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 79.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))) | |
| 99.3% | (/.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) b))) | |
| 99.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 a (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| ▶ | 99.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) |
| ✓ | 34.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 99.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a #s(approx (- (+ (* (* -4 c) a) (* b b)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 99.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (/.f64 #s(literal -1/4 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 88.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) | |
| 89.0% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))) | |
| ▶ | 88.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) |
| 33.5% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) | |
| 99.1% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 #s(approx (- (+ (* (* -4 c) a) (* b b)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) | |
| 34.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 88.9% | #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
| 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 79.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) | |
| 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ▶ | 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
Compiled 1 108 to 744 computations (32.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 640 | (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) | |
| cost-diff | 0 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) | |
| cost-diff | 704 | (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) | |
| cost-diff | 0 | (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 64 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) | |
| cost-diff | 1024 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) |
| 8 068× | lower-fma.f32 |
| 8 062× | lower-fma.f64 |
| 5 028× | lower-*.f32 |
| 5 012× | lower-*.f64 |
| 3 180× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 428 |
| 0 | 101 | 426 |
| 1 | 192 | 413 |
| 2 | 444 | 382 |
| 3 | 1388 | 374 |
| 4 | 4889 | 374 |
| 0 | 8084 | 368 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
#s(literal 0 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
c |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) |
a |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(*.f64 c c) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) |
(*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) |
b |
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) |
(/.f64 a (*.f64 b b)) |
a |
(*.f64 b b) |
(/.f64 #s(literal 1/2 binary64) c) |
c |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) |
(*.f64 c #s(literal -4 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
#s(literal 0 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 c (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
c |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c) (neg.f64 b))) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c) (neg.f64 b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) |
(/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c) b) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c) |
a |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 c b) b) c) |
(*.f64 c c) |
c |
(*.f64 b b) |
b |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))) |
(*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
b |
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a (/.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 a (*.f64 b b)) |
a |
(*.f64 b b) |
(/.f64 #s(literal 1/2 binary64) c) |
c |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) c) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
#s(literal 0 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.166347509768442 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) | |
| accuracy | 0.35384750976844204 | (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) | |
| accuracy | 0.22265625 | (/.f64 a (*.f64 b b)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) | |
| accuracy | 0.2890625 | (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) | |
| accuracy | 6.811524674809606 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) | |
| accuracy | 0.0078125 | (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) | |
| accuracy | 0.09765625 | (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) | |
| accuracy | 0.29296875 | (/.f64 (*.f64 c c) (*.f64 b b)) | |
| accuracy | 7.077191264377102 | #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) b) | |
| accuracy | 0.2890625 | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| accuracy | 13.289908692241433 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| accuracy | 0.1171875 | (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.1328125 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) | |
| accuracy | 0.16015625 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.166347509768442 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
| 186.0ms | 156× | 1 | valid |
| 43.0ms | 100× | 0 | valid |
Compiled 404 to 68 computations (83.2% saved)
ival-div: 60.0ms (30.6% of total)ival-add: 46.0ms (23.5% of total)ival-mult: 32.0ms (16.3% of total)ival-pow2: 21.0ms (10.7% of total)adjust: 13.0ms (6.6% of total)ival-sqrt: 10.0ms (5.1% of total)ival-sub: 5.0ms (2.6% of total)ival-pow: 4.0ms (2% of total)ival-neg: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) #<representation:binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ()) |
#s(alt (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) (patch (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (patch (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (patch (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 c c) (*.f64 b b)) (patch (/.f64 (*.f64 c c) (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) #<representation:binary64>) () ())) ()) |
#s(alt c (taylor 0 c) (#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (patch (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ a b)) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) (patch (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) (patch (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) (patch (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) (patch (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) (taylor -inf a) (#s(alt #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) (patch #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (/ a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ a c)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (patch (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/4 (/ b (* a c)))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (patch (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (patch (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (patch (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (patch (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (patch (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (patch (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (patch (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | c | @ | -inf | ((/ (+ (* (* -4 c) a) 0) a) (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (* (* -4 c) a) 0) (/ (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 1/2 (/ a (* b b))) (/ 1/2 (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0))) (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) (* b b)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* c c) (* b b)) (/ a (* b b))) |
| 5.0ms | a | @ | -inf | ((/ (+ (* (* -4 c) a) 0) a) (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (* (* -4 c) a) 0) (/ (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 1/2 (/ a (* b b))) (/ 1/2 (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0))) (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) (* b b)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* c c) (* b b)) (/ a (* b b))) |
| 4.0ms | c | @ | inf | ((/ (+ (* (* -4 c) a) 0) a) (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (* (* -4 c) a) 0) (/ (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 1/2 (/ a (* b b))) (/ 1/2 (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0))) (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) (* b b)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* c c) (* b b)) (/ a (* b b))) |
| 4.0ms | a | @ | inf | ((/ (+ (* (* -4 c) a) 0) a) (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (* (* -4 c) a) 0) (/ (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 1/2 (/ a (* b b))) (/ 1/2 (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0))) (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) (* b b)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* c c) (* b b)) (/ a (* b b))) |
| 4.0ms | c | @ | 0 | ((/ (+ (* (* -4 c) a) 0) a) (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (* (* -4 c) a) 0) (/ (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 1/2 (/ a (* b b))) (/ 1/2 (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0))) (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) (* b b)) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* c c) (* b b)) (/ a (* b b))) |
| 1× | egg-herbie |
| 7 842× | lower-*.f64 |
| 7 842× | lower-*.f32 |
| 7 402× | lower-fma.f64 |
| 7 402× | lower-fma.f32 |
| 4 852× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1240 | 11962 |
| 1 | 4179 | 11587 |
| 0 | 8581 | 11146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 1/2 (/ (pow a 2) (pow b 3))) (/ (* (pow a 3) c) (pow b 5))))))) c) |
(* 2 (* a b)) |
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b))) |
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))) |
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (/ b c))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (/ b c)) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (/ b c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/4 b)) c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/4 b)) c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(* 1/2 (/ a b)) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (/ b c))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/4 (/ 1 c))))) |
(+ (* -1/4 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/4 (/ 1 c))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(+ (* a b) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (+ a (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (+ a (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ (* (pow a 2) c) (pow b 4)))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (/ (* (pow a 3) (pow c 2)) (pow b 6)))) (* 1/2 (/ 1 c)))) |
(* 2 (* a b)) |
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a))) |
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))) |
(* b (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -1/2 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/2 a) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (/ (* (pow a 3) (pow c 2)) (pow b 4)))) b)) |
(* -1 (/ (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 1/2 a) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* 2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* 1/2 (/ c (pow b 3))) (/ (* a (pow c 2)) (pow b 5)))) (* 1/2 (/ 1 b))))) |
(* 2 (* a b)) |
(* a (+ (* -2 (/ (* a c) b)) (* 2 b))) |
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* 1/2 (/ a b)) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a) |
(* -1/4 (* (sqrt (/ a c)) (sqrt -4))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (/ b (* a c))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (/ b (* a c))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* 1/2 (/ a b)) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/4 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
| Outputs |
|---|
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (neg.f64 a) (/.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) a)) #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* 1/2 (/ (pow a 2) (pow b 3))) (/ (* (pow a 3) c) (pow b 5))))))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c) |
(* 2 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b))) |
(fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) #s(literal -2 binary64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) b (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a a) b))) c)) |
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -2 binary64))) c (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
(/ (pow c 2) (pow b 2)) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(/ (pow c 2) (pow b 2)) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(/ (pow c 2) (pow b 2)) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(/ (pow c 2) (pow b 2)) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
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(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64)) |
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/4 (/ b (* a c)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b (*.f64 a c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b c) #s(literal -1/4 binary64))) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b c) #s(literal -1/4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) (neg.f64 a)))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal -2 binary64)) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64) (/.f64 b a)) (*.f64 a a)) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a)) b) (neg.f64 a))) (*.f64 a a)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) (neg.f64 a)))) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
| 3 870× | lower-/.f32 |
| 3 856× | lower-fma.f32 |
| 3 850× | lower-/.f64 |
| 3 850× | lower-fma.f64 |
| 3 450× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 328 |
| 0 | 101 | 319 |
| 1 | 440 | 296 |
| 2 | 3566 | 292 |
| 0 | 8833 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(/.f64 #s(literal -1 binary64) b) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) |
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) |
(*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c))))) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/.f64 a (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) |
(*.f64 (pow.f64 (/.f64 a (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -2 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) |
(*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) a)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 a a)) |
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a c) (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) a)) |
(pow.f64 (/.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 a #s(literal -1 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) a))) |
(/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 a #s(literal -1 binary64))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal -1 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (neg.f64 (*.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) |
(/.f64 (*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) a)) |
(/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (*.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (neg.f64 (*.f64 a (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (neg.f64 a)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a) |
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) (*.f64 a c))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c))) a) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) a) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (*.f64 a c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) a)) |
(*.f64 (neg.f64 (*.f64 c #s(literal -4 binary64))) a) |
(*.f64 (*.f64 #s(literal 4 binary64) c) a) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) |
(*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -2 binary64))) |
(*.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) c)) |
(*.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 a c))) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 a (neg.f64 (*.f64 #s(literal 4 binary64) c))) |
(*.f64 a (neg.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 a (*.f64 #s(literal 4 binary64) c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 (*.f64 c #s(literal -4 binary64)) (neg.f64 a)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal -4 binary64) (neg.f64 (*.f64 a c))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (-.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 (neg.f64 b) b))) b) |
(fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) b) |
(fma.f64 (pow.f64 (/.f64 (hypot.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 (neg.f64 b) b))) b) |
(fma.f64 (pow.f64 (/.f64 (hypot.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) b) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal -1 binary64) b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 (*.f64 b b) (*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))) b) |
(fma.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (*.f64 c (pow.f64 b #s(literal -2 binary64))) c) |
(*.f64 (*.f64 c (/.f64 c b)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 c c)) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 c (/.f64 c b))) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(*.f64 (*.f64 (neg.f64 c) c) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 c c) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 c c) (pow.f64 b #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 2 binary64))) |
(*.f64 c (*.f64 c (pow.f64 b #s(literal -2 binary64)))) |
(pow.f64 (/.f64 b (*.f64 c (/.f64 c b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) c)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64))) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (/.f64 c b)))) b) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 c b) c) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 c (/.f64 c b))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (*.f64 b b)) |
(/.f64 (*.f64 c (/.f64 c b)) b) |
(/.f64 (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 c (/.f64 c b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) (*.f64 b b))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal 2 binary64))) |
(*.f64 (/.f64 a b) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) a) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 a b)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) |
(*.f64 a (pow.f64 b #s(literal -2 binary64))) |
(pow.f64 (/.f64 b (/.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 a b))) b) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 a b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 a)) (*.f64 b b)) |
(/.f64 (/.f64 a b) b) |
(/.f64 (neg.f64 a) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) |
(/.f64 a (*.f64 b b)) |
(neg.f64 (/.f64 a (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
Compiled 48 382 to 5 080 computations (89.5% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 866 | 10 | 1 876 |
| Fresh | 13 | 8 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 883 | 21 | 1 904 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 99.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) | |
| 79.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 99.7% | (/.f64 #s(approx (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 99.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))) b) a) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) | |
| 99.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 99.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ a (- (+ (* (* -4 c) a) (* b b)) (* b b))) (/.f64 #s(literal -1/4 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 88.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) | |
| 88.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) #s(approx (* b (- (* 1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) a)) b)))) | |
| 33.5% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) | |
| 99.3% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 c #s(literal -4 binary64))) a) | |
| 10.3% | #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) | |
| ✓ | 88.9% | #s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
| 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) | |
| ✓ | 79.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 79.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) | |
| 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| 79.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) | |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
Compiled 4 843 to 910 computations (81.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))))) c) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b #s(approx (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 a (fma.f64 a (-.f64 (neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 b b)) (fma.f64 #s(literal -1/8 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (*.f64 c c))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64)))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (-.f64 (fma.f64 c (fma.f64 c (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
4 calls:
| 32.0ms | a |
| 30.0ms | c |
| 30.0ms | b |
| 29.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | c |
| 99.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ (* (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) a) (+ (* (* -4 c) a) 0)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) |
4 calls:
| 9.0ms | b |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 5.0ms | a |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | a |
| 88.9% | 1 | b |
| 88.9% | 1 | c |
| 88.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
4 calls:
| 7.0ms | a |
| 5.0ms | c |
| 5.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 88.9% | 1 | a |
| 88.9% | 1 | b |
| 88.9% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
4 calls:
| 8.0ms | c |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | a |
| 88.8% | 1 | c |
| 88.8% | 1 | b |
| 88.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
Total -44.1b remaining (-331.9%)
Threshold costs -44.1b (-331.9%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b)))) |
#s(approx (/ (+ (* (/ (sqrt (+ (* (pow (* a c) 2) -16) (pow b 4))) b) (/ b (sqrt (+ (* (* a 4) c) (* b b))))) (neg (* (/ (* b b) b) 1))) (* 2 a)) (*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 4)) (* b b))) b)) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 6.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 3.0ms | c |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 1 | a |
| 79.2% | 1 | b |
| 79.2% | 1 | c |
| 79.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
| 1× | egg-herbie |
| 22× | *-commutative-binary64-*.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 222 |
| 1 | 123 | 222 |
| 2 | 138 | 222 |
| 3 | 149 | 222 |
| 4 | 153 | 222 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(approx (* 1/2 (/ (+ (* (* -4 c) a) 0) a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (neg.f64 (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 c (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 #s(approx (+ (+ (* 2 (/ (* (* a a) (pow c 3)) (pow b 4))) (+ (* a (/ (* c c) (* b b))) (* 5 (* (pow a 3) (/ (pow c 4) (pow b 6)))))) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c)) (neg.f64 b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 7 842× | lower-*.f64 |
| 7 842× | lower-*.f32 |
| 7 766× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6070 | 3204 |
| 0 | 8235 | 3047 |
| 0 | 2896 | 27028 |
| 0 | 8089 | 25888 |
| 0 | 72 | 504 |
| 0 | 125 | 500 |
| 1 | 498 | 482 |
| 2 | 4089 | 472 |
| 0 | 8310 | 472 |
| 0 | 105 | 700 |
| 0 | 168 | 692 |
| 1 | 760 | 568 |
| 2 | 6670 | 568 |
| 0 | 8315 | 557 |
| 0 | 2775 | 29699 |
| 0 | 8279 | 28230 |
| 0 | 1240 | 11962 |
| 1 | 4179 | 11587 |
| 0 | 8581 | 11146 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 251 to 152 computations (39.4% saved)
Compiled 162 to 104 computations (35.8% saved)
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