
Time bar (total: 10.2s)
| 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)
| 1.1s | 5 326× | 1 | valid |
| 375.0ms | 2 930× | 0 | valid |
| 150.0ms | 1 166× | 0 | invalid |
ival-mult: 264.0ms (21.5% of total)const: 204.0ms (16.6% of total)ival-<: 143.0ms (11.6% of total)adjust: 140.0ms (11.4% of total)ival-sqrt: 112.0ms (9.1% of total)ival-div: 105.0ms (8.5% of total)ival-add: 80.0ms (6.5% of total)ival-sub: 79.0ms (6.4% of total)ival-neg: 50.0ms (4.1% of total)ival-and: 35.0ms (2.8% of total)exact: 14.0ms (1.1% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 245 | 3 | (1.5634372649495197e-15 0.0842305722298001 3267794551.1247864) | 2 | (0.0007227072108433397 1.0981392606323873e-7 1.3723465145384336e-13) | (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 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 | 246 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 244 | 2 |
| - | 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 244 | 2 | 0 |
| - | 2 | 0 | 8 |
| number | freq |
|---|---|
| 0 | 10 |
| 1 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 346× | 1 | valid |
| 15.0ms | 166× | 0 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 14.0ms (30.8% of total)ival-sqrt: 8.0ms (17.6% of total)ival-div: 6.0ms (13.2% of total)adjust: 6.0ms (13.2% of total)ival-add: 4.0ms (8.8% of total)ival-sub: 4.0ms (8.8% of total)ival-neg: 2.0ms (4.4% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 |
|---|---|---|
| ▶ | 28.8% | (/.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 | 0.0625 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 0.125 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 0.2890625 | (/.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 | 45.5127921297185 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 30.0ms | 173× | 1 | valid |
| 7.0ms | 83× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 7.0ms (29.3% of total)adjust: 5.0ms (20.9% of total)ival-div: 3.0ms (12.6% of total)ival-sqrt: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)ival-sub: 2.0ms (8.4% of total)ival-neg: 1.0ms (4.2% 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 | |
|---|---|---|---|---|
| 3.0ms | 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 | c | @ | 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)))) |
| 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)))) |
| 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 |
|---|
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Compiled 18 694 to 2 137 computations (88.6% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 562 | 31 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 563 | 31 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 28.8% | (/.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)))))) | |
| 29.6% | (/.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)) | |
| ▶ | 28.6% | (/.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)) |
| 28.8% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.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)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| 18.8% | (/.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)) | |
| 28.8% | (/.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)) | |
| 26.9% | (/.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)) | |
| 95.5% | (/.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)) | |
| 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))) (*.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)) | |
| 90.3% | (/.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)) | |
| 95.4% | (/.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)) | |
| 93.5% | (/.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)) | |
| 82.5% | (/.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)) | |
| 90.3% | (/.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)) | |
| ▶ | 28.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 28.6% | (-.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))) | |
| ▶ | 28.8% | (*.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 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
| 28.8% | (*.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))))))))) | |
| 28.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 95.9% | #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))) |
| 93.9% | #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))) | |
| 95.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.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)))) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)))) b)) | |
| 93.9% | #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)) | |
| ▶ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 95.6% | #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)) | |
| 93.7% | #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)) | |
| 90.6% | #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))) | |
| 90.4% | #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 1 850 to 1 148 computations (37.9% 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 #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 | 64 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 7040 | (*.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 | 2401 | 669 |
| 0 | 8210 | 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 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.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)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b 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 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #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 (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 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(*.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 | 0.297538769536884 | (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) | |
| accuracy | 0.3359375 | (/.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 | 0.5693550293053261 | (pow.f64 (*.f64 c a) #s(literal 2 binary64)) | |
| accuracy | 45.63613144957114 | (-.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 | 0.32650375976844204 | (*.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 | 0.39291000976844204 | (/.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 | 45.5127921297185 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 45.5127921297185 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.12890625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.26171875 | (/.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 | 0.265625 | (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 45.5127921297185 | (-.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 | 11.150573758080998 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.38185502930532605 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.390625 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) | |
| accuracy | 0.3951950195368841 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 2.5731427655063657 | #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))) |
| 239.0ms | 171× | 1 | valid |
| 40.0ms | 85× | 0 | valid |
Compiled 775 to 76 computations (90.2% saved)
ival-add: 56.0ms (27.1% of total)ival-mult: 43.0ms (20.8% of total)ival-div: 38.0ms (18.4% of total)ival-pow: 22.0ms (10.6% of total)adjust: 21.0ms (10.2% of total)ival-sqrt: 11.0ms (5.3% of total)ival-sub: 9.0ms (4.4% of total)ival-pow2: 3.0ms (1.5% of total)ival-neg: 2.0ms (1% 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 (/.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 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (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 (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 (-.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>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
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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>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 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))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -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)))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -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))))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | 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)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (- (* (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) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) |
| 22.0ms | 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)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (- (* (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) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) |
| 21.0ms | b | @ | 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)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (- (* (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) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) |
| 20.0ms | 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)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (- (* (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) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) |
| 18.0ms | 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)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (- (* (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) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) |
| 1× | egg-herbie |
| 7 218× | lower-*.f64 |
| 7 218× | lower-*.f32 |
| 5 200× | lower-+.f64 |
| 5 200× | lower-+.f32 |
| 5 166× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2938 | 28123 |
| 0 | 8268 | 26930 |
| 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) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(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)) (* 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)) |
(pow b 3) |
(+ (* 2 (* a (* b c))) (pow b 3)) |
(+ (* c (+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))) (pow b 3)) |
(+ (* c (+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* 4 (/ (* (pow a 3) c) (pow b 3))))))) (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))) |
(* -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))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (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)))) (* 2 (/ (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)))) (* 2 (/ (pow b 2) c)))))) |
(* 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) |
(* 1/2 (* (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)) |
(* 2 (* (sqrt (* a c)) (pow b 2))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) |
(* c (+ (* -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 (+ (* -1/64 (* (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))))))) |
(* 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))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -2 (/ (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)))) (* 2 (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)) (* 2 (pow b 2))) c))))) |
(* -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) |
(* -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)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))) |
(* -1 (* c (+ (* 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 (* (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 (* (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))))))))) |
(* 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))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* 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)))))))))) |
(* -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))))))))) |
(* 1/2 (* (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))))))))))))))) |
(* 2 (* (sqrt (* a c)) (pow b 2))) |
(* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (pow b 2))) (* 2 (sqrt (* a c))))) |
(* (pow b 2) (+ (* 2 (sqrt (* a c))) (* (pow b 2) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))) (* 1/4 (sqrt (/ 1 (* a c)))))))) |
(* (pow b 2) (+ (* 2 (sqrt (* a c))) (* (pow b 2) (+ (* 1/4 (sqrt (/ 1 (* a c)))) (* (pow b 2) (+ (* -1/64 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 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))) |
(* -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 (* 2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 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)))))) |
(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)) |
(/ (- (+ (* -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)) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 2 (/ (* a c) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* 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 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -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))))))) |
(* 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 (* -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)) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 2 (/ (* a c) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -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) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) (pow b 2)) |
(+ (* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) (pow b 2)) |
(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)) (* 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)) |
(pow b 3) |
(+ (* 2 (* a (* b c))) (pow b 3)) |
(+ (* a (+ (* -2 (/ (* a (pow c 2)) b)) (* 2 (* b c)))) (pow b 3)) |
(+ (* a (+ (* 2 (* b c)) (* a (+ (* -2 (/ (pow c 2) b)) (* 4 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3)) |
(* -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)))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (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)))) (* 2 (/ (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)))) (* 2 (/ (pow b 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))))))) |
(* 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)) |
(* 2 (* (sqrt (* a c)) (pow b 2))) |
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) |
(* a (+ (* -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 (+ (* -1/64 (* (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))))))) |
(* -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))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -2 (/ (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)))) (* 2 (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)) (* 2 (pow b 2))) 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))))) |
(* -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)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))) |
(* -1 (* a (+ (* 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 (* (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 (* (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))))))))) |
| 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))) |
(*.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) |
(* 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) |
(* -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) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -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)))) |
(* -1/2 (/ 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 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/.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) |
(/ (+ (* -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 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -1 binary64) (*.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 #s(literal -1/8 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (*.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) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
(* 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 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 c (/.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 -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 a b))) 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)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (* a c)) (pow b 2)) |
(fma.f64 #s(literal 2 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(fma.f64 c (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))))) (*.f64 b b)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -2 binary64) (*.f64 b b)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(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)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(fma.f64 c (fma.f64 a #s(literal -2 binary64) (*.f64 c (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)) |
(* -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) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 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))))))) |
(*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
(* 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))))))) |
(*.f64 c (fma.f64 c (-.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -6 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 a b) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
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(/.f64 (neg.f64 c) b) |
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(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
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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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(* 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)) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
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(* c (+ (* -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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(* -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) |
(* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) |
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(* 1/4 (* (sqrt (/ c (pow a 3))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) |
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(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
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(* -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)) |
(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)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* 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))))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* a (+ (* -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)))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* a (+ (* -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))))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 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 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) |
| 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 | 520 |
| 0 | 125 | 515 |
| 1 | 498 | 497 |
| 2 | 4089 | 487 |
| 0 | 8310 | 487 |
| 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 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) 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 (-.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)) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) |
| Outputs |
|---|
#<batchref> |
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Compiled 139 324 to 8 879 computations (93.6% saved)
73 alts after pruning (71 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 422 | 57 | 2 479 |
| Fresh | 12 | 14 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 437 | 73 | 2 510 |
| Status | Accuracy | Program |
|---|---|---|
| 30.6% | (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))) | |
| 28.8% | (/.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)) | |
| 30.6% | (/.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)) | |
| 30.6% | (/.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)) | |
| 29.0% | (/.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)) | |
| 28.8% | (/.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)))))) | |
| 30.5% | (/.f64 (/.f64 (fma.f64 (*.f64 b b) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 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 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 29.7% | (/.f64 (/.f64 (-.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 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 (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 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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 29.6% | (/.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)) | |
| 28.7% | (/.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))) b) b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 28.6% | (/.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)) | |
| 93.0% | (/.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 #s(literal -8 binary64) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 3 binary64)))) (*.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)) | |
| 90.1% | (/.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 (/.f64 (*.f64 a a) b) #s(literal -6 binary64)) (*.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)) | |
| 95.2% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -16 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 4)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (-.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 c c) b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b))) (*.f64 #s(literal -2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 30.1% | (/.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 #s(literal 2 binary64) a) (fma.f64 b b (fma.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)))))) | |
| 28.8% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.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)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.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)) | |
| ▶ | 29.9% | (/.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)) |
| 30.1% | (/.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)))) | |
| 29.0% | (/.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))))) | |
| 29.9% | (/.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))) | |
| 30.1% | (/.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))))) | |
| 82.5% | (/.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)) | |
| 90.3% | (/.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)) | |
| 95.4% | (/.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)) | |
| 29.7% | (/.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)))) | |
| 30.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)))) | |
| 31.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)))) | |
| 29.9% | (/.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)))) | |
| 30.1% | (/.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)) (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)))))) | |
| ▶ | 30.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))))) |
| 29.4% | (/.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))))) | |
| 30.0% | (/.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))))))) | |
| ✓ | 28.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 29.9% | (/.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))) | |
| 95.8% | (/.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))))) | |
| 90.7% | (/.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))))) | |
| 93.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 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)))))) | |
| 93.9% | (/.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))) | |
| 90.7% | (/.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))) | |
| 95.7% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (*.f64 c c))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c))) (neg.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) c)))))))) | |
| ▶ | 93.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) |
| 28.6% | (-.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))) | |
| 28.6% | (+.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))) | |
| 28.8% | (*.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 (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)))))) | |
| 29.9% | (*.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))))))) | |
| 29.9% | (*.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 #s(literal 1 binary64) (/.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 (*.f64 b b)) (*.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)))) | |
| 28.8% | (*.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 (*.f64 b (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a))))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 24.5% | (*.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 #s(approx (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) | |
| 28.8% | (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (-.f64 (*.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 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)))) | |
| 22.4% | (*.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 (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 (*.f64 a c) #s(literal -2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) | |
| 24.5% | (*.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)))) | |
| 29.9% | (*.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))) | |
| 28.8% | (*.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 #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 (+.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))))) | |
| 28.8% | (*.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))))))))) | |
| 28.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 28.8% | (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b 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)))) | |
| 24.5% | (*.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)))) | |
| ▶ | 95.9% | #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))) |
| 82.5% | #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)) | |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ▶ | 82.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
| 93.7% | #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)) | |
| 90.6% | #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))) | |
| 90.4% | #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))))) | |
| 94.9% | #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))))) | |
| 95.3% | #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 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) c))) c)))))) | |
| 95.6% | #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 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)))))) | |
| 95.9% | #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)))) | |
| 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))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) c) b)))) |
Compiled 5 740 to 3 020 computations (47.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (fma.f64 b b (fma.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)))) | |
| cost-diff | 192 | (fma.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))) | |
| cost-diff | 384 | (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) | |
| cost-diff | 0 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 448 | (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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) a) | |
| cost-diff | 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)) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 1024 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.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))) (/.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)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) |
| 6 646× | lower-fma.f32 |
| 6 632× | lower-fma.f64 |
| 4 734× | lower-*.f32 |
| 4 712× | lower-*.f64 |
| 1 600× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 931 |
| 0 | 149 | 929 |
| 1 | 271 | 900 |
| 2 | 660 | 882 |
| 3 | 2003 | 862 |
| 4 | 5552 | 858 |
| 0 | 8266 | 840 |
| 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 #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))) |
(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)) |
(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))))) |
#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)))) |
(/.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))) |
(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)))) |
(*.f64 #s(literal -5 binary64) a) |
#s(literal -5 binary64) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 b b)) |
#s(literal -2 binary64) |
(*.f64 b b) |
b |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 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 #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 (*.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)) |
(*.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 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) |
(*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
b |
(-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
a |
c |
#s(literal -1/2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal 1/2 binary64) c) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))))) |
#s(literal 1/2 binary64) |
(/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 b b (fma.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)))) |
(fma.f64 b b (fma.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)))) |
b |
(fma.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))) |
(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) |
(-.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))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#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))) |
#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 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) (pow.f64 b #s(literal 7 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 #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)) |
(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 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b)) |
(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))))) |
(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 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) |
#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)))) |
#s(approx (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.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))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) (pow.f64 b #s(literal 7 binary64))) |
(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)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5 binary64)) a (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal -5 binary64) a) |
#s(literal -5 binary64) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 b b) |
b |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 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 #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 (*.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)) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (+.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
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 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 c a) (/.f64 a (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) c)) b))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 c a) (/.f64 a (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 c a) (/.f64 a (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) c)) b) |
b |
(-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 c a) (/.f64 a (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) c)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) a) (*.f64 c a)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 4 binary64))) a) (*.f64 c a)) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) c)) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
a |
c |
#s(literal -1/2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) |
(/.f64 a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal 1/2 binary64) c) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) b (*.f64 (*.f64 #s(literal -4 binary64) c) 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)))) |
#s(literal 1/2 binary64) |
(/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) |
(*.f64 (/.f64 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 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) |
(/.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))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 b b (fma.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)))) |
(/.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) b (*.f64 (*.f64 #s(literal -4 binary64) c) 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 b (fma.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)))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) b)) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
b |
(fma.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))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(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) |
(-.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))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) | |
| accuracy | 0.3828125 | (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) | |
| accuracy | 0.40853500976844204 | (/.f64 (fma.f64 b b (fma.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)))) | |
| accuracy | 44.79035458115912 | (-.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))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) | |
| accuracy | 0.26953125 | (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) | |
| accuracy | 0.3326950195368841 | (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 3.605006294463909 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) | |
| accuracy | 0.1328125 | (/.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)) | |
| accuracy | 0.13671875 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.3203125 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) | |
| accuracy | 45.04854147930047 | (-.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 | 0.265625 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) | |
| accuracy | 11.150573758080998 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) | |
| accuracy | 0.26953125 | (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) | |
| accuracy | 0.31478500976844204 | (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) | |
| accuracy | 0.42578125 | (/.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))) | |
| accuracy | 2.5731427655063657 | #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))) |
| 204.0ms | 171× | 1 | valid |
| 79.0ms | 85× | 0 | valid |
Compiled 796 to 92 computations (88.4% saved)
ival-div: 76.0ms (32.7% of total)ival-mult: 46.0ms (19.8% of total)adjust: 36.0ms (15.5% of total)ival-pow: 33.0ms (14.2% of total)ival-add: 18.0ms (7.7% of total)ival-sub: 13.0ms (5.6% of total)ival-sqrt: 6.0ms (2.6% of total)ival-neg: 4.0ms (1.7% of total)exact: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b 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 (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) (patch (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (patch (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 binary64) (/.f64 (fma.f64 b b (fma.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))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) (patch (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) #<representation binary64>) () ()) |
#s(alt (fma.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))) (patch (fma.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (fma.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)))) (patch (fma.f64 b b (fma.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)))) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) (patch (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #<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 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ()) |
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b (fma.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)))) (patch (/.f64 (fma.f64 b b (fma.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)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (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)) (patch (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)) #<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 #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)) (patch (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)) #<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 #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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* 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 #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 (* 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 #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 (* 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 #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 (* -1 (/ b c)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 b) c) (patch (/.f64 (neg.f64 b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b c)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 b) c) (patch (/.f64 (neg.f64 b) c) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (fma.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)))) (patch (/.f64 (fma.f64 b b (fma.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (fma.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)))) (patch (/.f64 (fma.f64 b b (fma.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* -1/64 (/ (* a (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3)))) a)) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (fma.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)))) (patch (/.f64 (fma.f64 b b (fma.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (+ (* -1/32 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3))) (pow c 3))) (* 1/1024 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))))) (* -1/64 (/ (* a (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3)))) a)) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (fma.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)))) (patch (/.f64 (fma.f64 b b (fma.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | b | @ | 0 | ((/ (+ (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)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)))) (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b))) (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (/ (+ (* (* -5 a) (pow c 4)) (* (* -2 (* b b)) (pow c 3))) (pow b 7)) (* (* -2 (* b b)) (pow c 3)) (* (neg c) (/ c (pow b 3))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* (* (* a a) c) -1/2) (pow b 4)) (* b (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))) (pow (+ (* (* -4 c) a) (* b b)) 3/2)) |
| 41.0ms | a | @ | -inf | ((/ (+ (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)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)))) (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b))) (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (/ (+ (* (* -5 a) (pow c 4)) (* (* -2 (* b b)) (pow c 3))) (pow b 7)) (* (* -2 (* b b)) (pow c 3)) (* (neg c) (/ c (pow b 3))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* (* (* a a) c) -1/2) (pow b 4)) (* b (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))) (pow (+ (* (* -4 c) a) (* b b)) 3/2)) |
| 24.0ms | b | @ | inf | ((/ (+ (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)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)))) (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b))) (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (/ (+ (* (* -5 a) (pow c 4)) (* (* -2 (* b b)) (pow c 3))) (pow b 7)) (* (* -2 (* b b)) (pow c 3)) (* (neg c) (/ c (pow b 3))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* (* (* a a) c) -1/2) (pow b 4)) (* b (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))) (pow (+ (* (* -4 c) a) (* b b)) 3/2)) |
| 20.0ms | c | @ | 0 | ((/ (+ (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)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)))) (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b))) (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (/ (+ (* (* -5 a) (pow c 4)) (* (* -2 (* b b)) (pow c 3))) (pow b 7)) (* (* -2 (* b b)) (pow c 3)) (* (neg c) (/ c (pow b 3))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* (* (* a a) c) -1/2) (pow b 4)) (* b (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))) (pow (+ (* (* -4 c) a) (* b b)) 3/2)) |
| 17.0ms | c | @ | inf | ((/ (+ (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)) (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (- (+ (* (* -4 c) a) (* b b)) (* b b)) (/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)))) (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b))) (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (/ (+ (* (* -5 a) (pow c 4)) (* (* -2 (* b b)) (pow c 3))) (pow b 7)) (* (* -2 (* b b)) (pow c 3)) (* (neg c) (/ c (pow b 3))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (/ (* (* (* a a) c) -1/2) (pow b 4)) (* b (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))) (pow (+ (* (* -4 c) a) (* b b)) 3/2)) |
| 1× | egg-herbie |
| 7 100× | lower-*.f64 |
| 7 100× | lower-*.f32 |
| 3 948× | lower-+.f64 |
| 3 948× | lower-+.f32 |
| 3 780× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3092 | 34890 |
| 0 | 8048 | 33681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) |
(* -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)) |
(* -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)) |
(* -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))) |
(/ -1/2 c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) c) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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) |
(* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (+ (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (+ (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (+ (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow a 3) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (+ (* -1 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* 2 (/ (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))) (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) |
(/ (+ (* 2 (/ (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(/ (+ (* 2 (/ (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* -4 (/ (* (pow a 3) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (+ (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(/ (+ (* 2 (/ (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* -4 (/ (* (pow a 3) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* -8 (/ (pow a 4) (* b (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) (+ (* -2 (/ (* a (* (pow b 3) (* (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (+ (* 2 (pow b 2)) (pow b 2))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (+ (/ (* (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (- (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (/ (* (- (* -4 (/ (* (pow a 3) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (+ (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))))))) (+ (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* a (* (pow b 3) (+ (* -4 a) (* -2 a)))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))))) (* 2 (/ (* a (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (* -2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (* -2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(* -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))))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* 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)))))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* -4 (/ (* (pow a 2) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (+ (* -4 (/ (* (pow a 2) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* c (- (* -8 (/ (pow a 3) (* b (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) (+ (* -2 (/ (* (pow b 3) (* (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (+ (* 2 (pow b 2)) (pow b 2)))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (+ (/ (* (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (- (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (/ (* (- (* -4 (/ (* (pow a 2) b) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 a) (* -2 a))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))))) (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2)))))) c) |
(pow b 3) |
(+ (* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (pow b 3))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 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))))))) |
(* -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))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c)))) (/ 1 (* (pow b 3) (pow c 2))))) |
(* -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 (/ 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)) |
(* -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))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* c (- (* 1/2 (/ a (* (pow b 2) c))) (* -1/2 (/ (pow a 2) (pow b 4))))) |
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* -1/2 (/ (pow a 2) (pow b 4))))) |
(* c (- (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* -1/2 (/ (pow a 2) (pow b 4))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 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))))))) |
(* (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 (* (pow a 3) c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (* (sqrt (/ (pow a 3) c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (sqrt (/ (pow a 3) c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (+ (* -4 (* (sqrt (/ (pow a 3) (pow c 5))) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* a (* (pow b 3) (sqrt -64))) (* (pow c 2) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* (pow c 2) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (* (sqrt (/ (pow a 3) c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow a 3) (pow c 5))) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* -1 (/ (* a (* (pow b 5) (sqrt -64))) (* (pow c 3) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3))))) (+ (* 1/2 (/ (* a (* (pow b 3) (sqrt -64))) (* (pow c 2) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* a (* (pow b 3) (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (* (pow c 3) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (/ (pow b 3) (* (pow c 2) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))))))) |
(* (sqrt (/ 1 (* a c))) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c a)) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64)))) c) |
(/ (- (+ (* 1/2 (/ (pow b 3) (* a (* c (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c a)) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64))))) (/ (* (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3))) (* (pow a 2) (* c (pow (sqrt -64) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 7))) (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) (pow (sqrt -64) 3)))) (* 2 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3)))) (* (pow a 2) (pow (sqrt -64) 2))))) (pow c 3))) (+ (* 1/2 (/ (pow b 3) (* a (* c (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c a)) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64)))))) (/ (* (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3))) (* (pow a 2) (* c (pow (sqrt -64) 2))))) c) |
(* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) |
(* c (+ (* -4 a) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ a c)) (* b (sqrt -4))) (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) |
(* c (+ (* -4 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* -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))))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* (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))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* c (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))))) (/ (pow b 3) (pow c 2)))) |
(* (sqrt (/ 1 (* (pow a 3) c))) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c (pow a 3))) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64)))) c) |
(/ (- (+ (* 1/2 (/ (pow b 3) (* (pow a 2) (* c (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c (pow a 3))) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64))))) (/ (* (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3))) (* (pow a 3) (* c (pow (sqrt -64) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 9))) (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) (pow (sqrt -64) 3)))) (* 2 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3)))) (* (pow a 3) (pow (sqrt -64) 2))))) (pow c 3))) (+ (* 1/2 (/ (pow b 3) (* (pow a 2) (* c (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ c (pow a 3))) (/ (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (sqrt -64)))))) (/ (* (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3))) (* (pow a 3) (* c (pow (sqrt -64) 2))))) c) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))))) |
(* -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)))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -2 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* (pow c 4) (+ (* -5 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))) c)))) |
(* -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 (/ 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)) |
(* -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))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1 (* c (- (* -1/2 (/ a (* (pow b 2) c))) (* 1/2 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (- (+ (* -1/2 (/ a (* (pow b 2) c))) (/ 1/2 (pow c 2))) (* 1/2 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (- (+ (* -1/2 (/ a (* (pow b 2) c))) (/ 1/2 (pow c 2))) (* 1/2 (/ (pow a 2) (pow b 4)))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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)) |
(* -8 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* 8 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 16 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (* a (pow b 3)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 16 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))) c)) (* 8 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -4 (/ (* a (pow b 5)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (* a (pow b 3)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 1/16 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) (+ (* -32 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (* a (pow b 3)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 16 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))) c)) (* 8 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/32 (/ (* (pow b 3) c) a)) (* -1/64 (/ (* c (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)))) (pow a 2)))) c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/8 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3))) (pow a 2))) (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/1024 (* (sqrt (/ c (pow a 7))) (* (sqrt -1) (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))))) (* -1/64 (/ (* c (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)))) (pow a 2)))) c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/8 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (pow b 2)) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -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))))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -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)))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* -1 (* c (+ (* -1/2 (/ a (* b c))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow c 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (pow a 3))))))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))) (pow c 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (/ (pow b 3) (pow c 2)))) |
(* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/32 (/ (* (pow b 3) c) (pow a 2))) (* -1/64 (/ (* c (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)))) (pow a 3)))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3))) (pow a 3))) (+ (* -1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/1024 (* (sqrt (/ c (pow a 9))) (* (sqrt -1) (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))))) (* -1/64 (/ (* c (* (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)))) (pow a 3)))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (pow a 3))))))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))) (pow c 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* 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)) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* -2 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))))) (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 (/ 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) |
(* -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)))) (* 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))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/ (- (* 1/2 (* a (pow b 2))) (* -1/2 (* (pow a 2) c))) (pow b 4)) |
(/ (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) c)) (* -1/2 a))) (* -1/2 (* (pow a 2) c))) (pow b 4)) |
(/ (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) c)) (* -1/2 a))) (* -1/2 (* (pow a 2) c))) (pow b 4)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 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)))) |
(* -1/4 (* (sqrt (* a c)) (sqrt -64))) |
(+ (* -1/4 (* (sqrt (* a c)) (sqrt -64))) (* -1/16 (* b (* (sqrt -64) (sqrt -4))))) |
(+ (* -1/4 (* (sqrt (* a c)) (sqrt -64))) (* b (- (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* a c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (sqrt -64)))))) (* 1/16 (* (sqrt -64) (sqrt -4)))))) |
(+ (* -1/4 (* (sqrt (* a c)) (sqrt -64))) (* b (- (* b (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* b (- (* 1/4 (/ 1 (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* a c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (sqrt -64)))))))) (+ (* 1/32 (/ (sqrt -64) (* a (* c (sqrt -4))))) (* 1/32 (/ (* (sqrt -64) (sqrt -4)) (* a c)))))))) (+ (* 1/64 (* (sqrt (/ 1 (* a c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* a c))) (sqrt -64)))))) (* 1/16 (* (sqrt -64) (sqrt -4)))))) |
(* -4 (* (sqrt (/ a c)) (/ 1 (sqrt -64)))) |
(+ (* -4 (* (sqrt (/ a c)) (/ 1 (sqrt -64)))) (/ (* b (sqrt -4)) (* c (sqrt -64)))) |
(+ (* -4 (* (sqrt (/ a c)) (/ 1 (sqrt -64)))) (* b (+ (* b (- (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -64)))) (* -2 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (pow (sqrt -64) 3)))))) (/ (sqrt -4) (* c (sqrt -64)))))) |
(+ (* -4 (* (sqrt (/ a c)) (/ 1 (sqrt -64)))) (* b (+ (* b (- (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -64)))) (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 1/2 (/ (* (sqrt -4) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (* (pow a 3) (* (pow c 4) (pow (sqrt -64) 3))))) (* 4 (/ 1 (* a (* (pow c 2) (pow (sqrt -64) 2))))))))) (* -2 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (pow (sqrt -64) 3)))))) (/ (sqrt -4) (* c (sqrt -64)))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* (sqrt (* a c)) (* b (sqrt -4)))) |
(+ (* -4 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* (sqrt (* a c)) (* b (sqrt -4)))) |
(+ (* -4 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(* -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)) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* (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 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(/ (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (sqrt -64)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) 1))))) |
(* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -64)))) |
(+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -64)))) (/ (* b (sqrt -4)) (* a (* c (sqrt -64))))) |
(+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -64)))) (* b (+ (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -64)))) (* -2 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (pow (sqrt -64) 3)))))) (/ (sqrt -4) (* a (* c (sqrt -64))))))) |
(+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -64)))) (* b (+ (* b (- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -64)))) (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 1/2 (/ (* (sqrt -4) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (* (pow a 4) (* (pow c 4) (pow (sqrt -64) 3))))) (* 4 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -64) 2))))))))) (* -2 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (pow (sqrt -64) 3)))))) (/ (sqrt -4) (* a (* c (sqrt -64))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (sqrt -64)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- 1 (* 1/2 (/ (* (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2)))))) (sqrt -64))))))))) |
(* -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 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(/ (+ (* -5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2)))) (pow b 3)) |
(* -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 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) |
(* -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) (* -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 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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) |
(* -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))))))) |
(* 1/6 (/ (+ (* -8 (* a c)) (* -4 (* a c))) b)) |
(/ (- (+ (* 1/6 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2)))) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2)))) b) |
(/ (- (+ (* 1/6 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))) (+ (* -1/9 (/ (* (pow a 2) (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c))))) (pow b 4))) (+ (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2))) (* 1/3 (/ (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* 1/18 (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c))))))) (pow b 4)))))) b) |
(/ (- (+ (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/6 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2)))))) (+ (* -2/3 (/ (* (pow a 2) (* (pow c 2) (- (* 1/6 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* 1/18 (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))))))) (pow b 6))) (+ (* -2/9 (/ (* (pow a 3) (* (pow c 3) (+ (* -8 (* a c)) (* -4 (* a c))))) (pow b 6))) (+ (* -1/9 (/ (* (pow a 2) (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c))))) (pow b 4))) (+ (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2))) (+ (* 1/3 (/ (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))) (+ (* -1/9 (* (pow a 2) (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* 1/18 (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c))))))))))) (pow b 6))) (* 1/3 (/ (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* 1/18 (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c))))))) (pow b 4))))))))) b) |
(* 6 (/ (* a b) (+ (* -8 (* a c)) (* -4 (* a c))))) |
(* b (- (+ (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ a (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) |
(* b (- (+ (* -4 (/ (* (pow a 3) (pow c 2)) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ a (+ (* -8 (* a c)) (* -4 (* a c))))))) (+ (* 6 (/ (* a (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))) (* (pow b 4) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (/ (* (- (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c))))))))) |
(* b (- (+ (* -8 (/ (* (pow a 4) (pow c 3)) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ a (+ (* -8 (* a c)) (* -4 (* a c)))))))) (+ (* -6 (/ (* a (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))))))) (* (pow b 6) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (* a (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))) (* (pow b 4) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (/ (* (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (- (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c))))) (+ (/ (* (- (* -4 (/ (* (pow a 3) (pow c 2)) (+ (* -8 (* a c)) (* -4 (* a c))))) (+ (* 6 (/ (* a (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (/ (* (- (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* -8 (* a c)) (* -4 (* a c)))))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c))))) (/ (* (- (* 2 (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))))))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -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) (+ 2 (+ (* -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)))))))) |
(* 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 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)) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* 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))))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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)))) (* 1/2 (/ 1 c)))) |
(* 1/2 (* b (+ (* -8 (* a c)) (* -4 (* a c))))) |
(* b (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))))) |
(* 6 (/ b (+ (* -8 (* a c)) (* -4 (* a c))))) |
(* b (- (+ (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ 1 (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) |
(* b (- (+ (* -4 (/ (* (pow a 2) (pow c 2)) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ 1 (+ (* -8 (* a c)) (* -4 (* a c))))))) (+ (* 6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (* (pow b 4) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (/ (* (- (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c))))))))) |
(* b (- (+ (* -8 (/ (* (pow a 3) (pow c 3)) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))) (+ (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (* (pow b 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 6 (/ 1 (+ (* -8 (* a c)) (* -4 (* a c)))))))) (+ (* -6 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) (* (pow b 6) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (* (pow b 4) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (* (pow b 2) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (/ (* (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (- (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c))))) (+ (/ (* (- (* -4 (/ (* (pow a 2) (pow c 2)) (+ (* -8 (* a c)) (* -4 (* a c))))) (+ (* 6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (/ (* (- (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* -8 (* a c)) (* -4 (* a c)))))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 6) (+ (* -8 (* a c)) (* -4 (* a c))))) (/ (* (- (* 2 (/ (+ (* -4 (* a c)) (* -2 (* a c))) (+ (* -8 (* a c)) (* -4 (* a c))))) (* 6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* (pow b 4) (+ (* -8 (* a c)) (* -4 (* a c)))))))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a 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)))))) |
(* -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 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (pow c 2)) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -1 (/ (+ (* 2 (/ (* a (pow c 3)) (pow b 2))) (+ (* 5 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (pow c 2))) (pow b 3))) |
(* -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 (/ 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) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -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 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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)))))) |
(* -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 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2)))))) |
(* -1 (* b (- (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))) (+ (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 2 (+ (* -4 (* a c)) (* 2 (* a c)))))) (pow b 4))))))) |
(* -1 (* b (- (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))) (+ (* 2 (/ (* (pow a 2) (* (pow c 2) (- (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 2 (+ (* -4 (* a c)) (* 2 (* a c))))))) (pow b 6))) (+ (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 2 (+ (* -4 (* a c)) (* 2 (* a c)))))) (pow b 4)) (/ (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (+ (* 4 (* (pow a 2) (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 2 (+ (* -4 (* a c)) (* 2 (* a c))))))))) (pow b 6)))))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (- (+ (* 1/2 a) (* 1/2 (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2)))) (* 1/8 (/ (* a (+ (* -8 (* a c)) (* -4 (* a c)))) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (+ (* 1/2 (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2))) (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (+ (* 1/8 (/ (* a (+ (* -8 (* a c)) (* -4 (* a c)))) (pow b 2))) (+ (* 1/8 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow b 4))) (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (* a (+ (* -4 (* a c)) (* 2 (* a c))))) (* 1/8 (* a (+ (* -8 (* a c)) (* -4 (* a c))))))) (pow b 4)))))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (+ (* 1/2 (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2))) (+ (* 2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (+ (* 1/8 (/ (* a (+ (* -8 (* a c)) (* -4 (* a c)))) (pow b 2))) (+ (* 1/8 (/ (* a (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))) (pow b 6))) (+ (* 1/8 (/ (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow b 4))) (+ (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (* a (+ (* -4 (* a c)) (* 2 (* a c))))) (* 1/8 (* a (+ (* -8 (* a c)) (* -4 (* a c))))))) (pow b 4))) (+ (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* (pow a 3) (pow c 2)) (+ (* 1/8 (* a (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))) (* 1/4 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (* a (+ (* -4 (* a c)) (* 2 (* a c))))) (* 1/8 (* a (+ (* -8 (* a c)) (* -4 (* a c))))))))))) (pow b 6))) (* 1/4 (/ (* (- (* 1/2 (* a (+ (* -4 (* a c)) (* 2 (* a c))))) (* 1/8 (* a (+ (* -8 (* a c)) (* -4 (* a c)))))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow b 6))))))))) b)) |
(+ (* -4 (* a c)) (* 2 (* a c))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) |
(+ (* -4 (* a c)) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -4 (* a c)) (+ (* 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))))))) |
(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 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -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))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -2 (* (pow b 2) (pow c 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(* 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)) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))))) |
(/ -1/2 b) |
(* -1 (/ (- (+ 1/2 (* 1/2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2)))) (* 1/8 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (+ (* 1/2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* 1/8 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/8 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))) (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (+ (* -4 (* a c)) (* 2 (* a c)))) (* 1/8 (+ (* -8 (* a c)) (* -4 (* a c)))))) (pow b 4)))))) b)) |
(* -1 (/ (- (+ 1/2 (+ (* 1/2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (+ (* 1/8 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/8 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (+ (* 1/8 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))) (+ (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (+ (* -4 (* a c)) (* 2 (* a c)))) (* 1/8 (+ (* -8 (* a c)) (* -4 (* a c)))))) (pow b 4))) (+ (* 1/4 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* (pow a 2) (pow c 2)) (+ (* 1/8 (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (* 1/4 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* 1/2 (+ (* -4 (* a c)) (* 2 (* a c)))) (* 1/8 (+ (* -8 (* a c)) (* -4 (* a c)))))))))) (pow b 6))) (* 1/4 (/ (* (- (* 1/2 (+ (* -4 (* a c)) (* 2 (* a c)))) (* 1/8 (+ (* -8 (* a c)) (* -4 (* a c))))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))) (pow b 6))))))))) b)) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (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))) (* -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 (/ (pow c 2) (pow b 3))) |
(+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5)))))) |
(* -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))))))) |
(* -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))))))))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* a (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 c))) |
(- (* a (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 c))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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))) (* -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 (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (+ (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (+ (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (+ (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 3) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) |
(+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) |
(+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) |
(+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* -8 (/ (pow c 3) (* b (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))) (+ (* -2 (/ (* (pow b 3) (* (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (+ (* 2 (pow b 2)) (pow b 2)))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (+ (/ (* (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (/ (* (- (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (* -2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2))))))))) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* -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)))) |
(* 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)))))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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 (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(* 1/2 (/ (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) a) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) a) |
(/ (+ (* 2 (/ (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (+ (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* a (- (* -8 (/ (pow c 3) (* b (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))) (+ (* -2 (/ (* (pow b 3) (* (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (+ (* 2 (pow b 2)) (pow b 2)))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (+ (/ (* (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (/ (* (- (* -4 (/ (* b (pow c 2)) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))))))) (+ (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2))) (/ (* (- (* 2 (/ (* (pow b 3) (+ (* -4 c) (* -2 c))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))))))) (* 2 (/ (* (pow b 3) (* (+ (* 2 (pow b 2)) (pow b 2)) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))))) (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2)))))) a) |
(pow b 3) |
(+ (* 1/2 (/ (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (pow b 3))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (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)))))) |
(* -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)))))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -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 2) (+ (* -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))))))) |
(* -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)))))) |
(* -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 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -1/2 (/ c (pow b 4))))) |
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -1/2 (/ c (pow b 4))) (/ 1/2 (* (pow a 2) c))))) |
(* (pow a 2) (- (/ 1/2 (* a (pow b 2))) (+ (* -1/2 (/ c (pow b 4))) (/ 1/2 (* (pow a 2) c))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 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 (pow c 3))) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (pow a 2) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* (pow a 2) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))))))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -64))) (* (pow a 3) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3))))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (pow a 2) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (* (pow a 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (/ (pow b 3) (* (pow a 2) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))))))))) |
(* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64))) |
(+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64)))) |
(- (+ (* 1/2 (/ (pow b 3) (* a (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64))))) (/ (* (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3))) (* a (* (pow c 3) (pow (sqrt -64) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow a 3) (pow c 9))) (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) (pow (sqrt -64) 3)))) (* 2 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3)))) (* (pow c 3) (pow (sqrt -64) 2))))) (pow a 3))) (+ (* 1/2 (/ (pow b 3) (* a (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64)))))) (/ (* (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3))) (* a (* (pow c 3) (pow (sqrt -64) 2))))) |
(* a (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* a (+ (* -4 c) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* (sqrt (/ c a)) (* b (sqrt -4))) (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* a (+ (* -4 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* -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)))))) |
(* (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))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))))) (/ (pow b 3) (pow a 2)))) |
(* (sqrt (/ 1 (* a (pow c 3)))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64)))) a) |
(/ (- (+ (* 1/2 (/ (pow b 3) (* a (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64))))) (/ (* (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3))) (* a (* (pow c 3) (pow (sqrt -64) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow a 3) (pow c 9))) (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) (pow (sqrt -64) 3)))) (* 2 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3)))) (* (pow c 3) (pow (sqrt -64) 2))))) (pow a 3))) (+ (* 1/2 (/ (pow b 3) (* a (* (pow c 2) (* (sqrt -64) (sqrt -4)))))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -64)))) (* (sqrt (/ a (pow c 3))) (/ (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (sqrt -64)))))) (/ (* (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3))) (* a (* (pow c 3) (pow (sqrt -64) 2))))) a) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))))) |
(* -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)))))) |
(* -5 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) a)))) |
(* (pow a 2) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3)))) a)))) |
(* -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))) |
(* -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)) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (- (* 1/2 (/ 1 (* a (pow b 2)))) (* -1/2 (/ c (pow b 4))))) |
(* (pow a 2) (- (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -1/2 (/ c (pow b 4))))) |
(* (pow a 2) (- (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* -1/2 (/ c (pow b 4))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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)))) |
(* -8 (* (sqrt (* a (pow c 3))) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* 8 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 16 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (* 16 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -4 (/ (* (pow b 5) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (* 16 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))))) |
(* -1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/32 (/ (pow b 3) (pow c 2)))) (* -1/64 (/ (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3))) (pow c 3)))) a)) (* -1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* -1/64 (/ (* a (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3))))) (* -1 (/ (+ (* -1/32 (/ (* a (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3))) (* 1/1024 (* (sqrt (/ (pow a 3) (pow c 9))) (* (sqrt -1) (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))))) a))) a)) (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (pow b 2)) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -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)))))) |
(* -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)))))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) (/ (pow b 3) (pow a 2)))) |
(* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* -1/64 (/ (* a (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3)))) a)) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (+ (* -1/32 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3))) (pow c 3))) (* 1/1024 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))))) (* -1/64 (/ (* a (* (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)))) (pow c 3)))) a)) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow a 2) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (/.f64 (*.f64 a 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 (*.f64 a a) 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 #s(literal -1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.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)))))) (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 (*.f64 a 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 (*.f64 a a) 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 #s(literal -1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) 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 #s(literal 1 binary64) b)))) |
(* -1 (/ (pow c 2) (pow b 3))) |
(/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* (pow c 2) (- (* c (+ (* -5 (/ (* (pow a 2) c) (pow b 7))) (* -2 (/ a (pow b 5))))) (/ 1 (pow b 3)))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 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) |
(* -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 (*.f64 a 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 (*.f64 a a) 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 #s(literal -1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.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)))))) (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) |
(* -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 #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 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (/.f64 (*.f64 a 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 (*.f64 a a) 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))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.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)))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(/ -1/2 c) |
(/.f64 #s(literal -1/2 binary64) c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) c) |
(/.f64 (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) c) |
(/.f64 (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)) c) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (neg.f64 (/.f64 (*.f64 a 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 (*.f64 a a) 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 #s(literal -1 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.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)))))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))) |
(* -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) b (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 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) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.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))))) 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 #s(literal -1/2 binary64) b (*.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 b b)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 b (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (*.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))))) c) |
(* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -12 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) (*.f64 c (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 48 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -12 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a #s(literal -6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 2 binary64))))))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (+ (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
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(pow b 2) |
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(* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
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(* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) |
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(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
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(*.f64 (*.f64 a a) (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 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 12 binary64)))) (fma.f64 #s(literal 1/16 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 48 binary64)))) (*.f64 #s(literal 8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 a (pow.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 48 binary64)) #s(literal 2 binary64))) (pow.f64 c #s(literal 3 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 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 12 binary64))))) (pow.f64 a #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 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 48 binary64)))) (*.f64 #s(literal 8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))))))) |
| 4 886× | lower-*.f32 |
| 4 864× | lower-*.f64 |
| 4 522× | lower-fma.f32 |
| 4 508× | lower-fma.f64 |
| 2 288× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 720 |
| 0 | 147 | 720 |
| 1 | 601 | 596 |
| 2 | 4913 | 592 |
| 0 | 8564 | 584 |
| 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 #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))) |
(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)) |
(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))))) |
#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)))) |
(/.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) |
(-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) |
(/.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)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.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 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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))))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.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)))))) |
(fma.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))) |
(fma.f64 b b (fma.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 -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))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
(-.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 (fma.f64 b b (fma.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)))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
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|---|
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Compiled 75 647 to 7 555 computations (90% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 680 | 15 | 1 695 |
| Fresh | 57 | 9 | 66 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 743 | 25 | 1 768 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.6% | (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))) |
| 90.1% | (/.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 (/.f64 (*.f64 a a) b) #s(literal -6 binary64)) (*.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)) | |
| 99.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) | |
| 99.4% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) 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)) | |
| 99.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) a) | |
| 82.5% | (/.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)) | |
| 90.3% | (/.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)) | |
| ▶ | 99.7% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.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 a (/.f64 #s(literal 1 binary64) (/.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 #s(literal 0 binary64)))))) | |
| 99.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (fma.f64 (*.f64 #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))) | |
| 82.0% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 a b)) (*.f64 (*.f64 a c) #s(literal -12 binary64))))) | |
| 90.7% | (/.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))))) | |
| 90.7% | (/.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))) | |
| ▶ | 93.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) |
| 82.2% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) | |
| 99.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 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))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (neg.f64 a)) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))) | |
| 28.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| 93.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #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)))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (*.f64 b b)) (neg.f64 (*.f64 c c))) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))) | |
| 82.5% | #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)) | |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 82.4% | #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)))) | |
| 82.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ▶ | 82.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ▶ | 90.6% | #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))) |
Compiled 877 to 662 computations (24.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) | |
| cost-diff | 0 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) | |
| cost-diff | 6208 | (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) | |
| cost-diff | 896 | (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))) | |
| 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 (/ (+ (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))) | |
| 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) c) | |
| cost-diff | 0 | #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 10 264× | lower-fma.f32 |
| 10 256× | lower-fma.f64 |
| 5 178× | lower-*.f32 |
| 5 158× | lower-*.f64 |
| 2 866× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 475 |
| 0 | 95 | 471 |
| 1 | 183 | 454 |
| 2 | 435 | 432 |
| 3 | 1286 | 422 |
| 4 | 3894 | 414 |
| 5 | 7068 | 414 |
| 0 | 8491 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.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) |
a |
(*.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 (/ (+ (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))) |
(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 |
(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))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(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 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) |
(neg.f64 b) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) |
(*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
b |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
a |
c |
(*.f64 b b) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)) |
#s(literal -1/2 binary64) |
(/.f64 a (*.f64 b b)) |
(/.f64 #s(literal 1/2 binary64) c) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.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 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
a |
(*.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 (neg.f64 c) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 (neg.f64 c) b) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
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)) (/.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 |
(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))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(neg.f64 b) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) c #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (/.f64 #s(literal -1/2 binary64) c)) b))) |
#s(literal 1/2 binary64) |
#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) c #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (/.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) c #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (/.f64 #s(literal -1/2 binary64) c)) b) |
b |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) |
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) c #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) a) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a #s(literal 1/2 binary64)) a)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) c) (/.f64 a b)) |
(*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a a) c) |
(*.f64 a a) |
a |
c |
(*.f64 b b) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)) |
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) |
#s(literal -1/2 binary64) |
(/.f64 a (*.f64 b b)) |
(/.f64 #s(literal 1/2 binary64) c) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) | |
| accuracy | 0.3515625 | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0.3678512695368841 | (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) | |
| accuracy | 3.605006294463909 | #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) | |
| accuracy | 0.0625 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.12890625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.25390625 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) | |
| accuracy | 44.5016399888474 | (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))) | |
| accuracy | 0 | (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)) | |
| accuracy | 0.125 | (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b) | |
| accuracy | 0.3444137695368841 | (/.f64 (*.f64 c c) (*.f64 b b)) | |
| accuracy | 5.928438770449281 | #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))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) b) | |
| accuracy | 0.25 | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| accuracy | 11.150573758080998 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| accuracy | 0.0625 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.12890625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.1328125 | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.13671875 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
| 120.0ms | 180× | 1 | valid |
| 43.0ms | 76× | 0 | valid |
Compiled 409 to 56 computations (86.3% saved)
ival-mult: 45.0ms (35.8% of total)ival-div: 38.0ms (30.3% of total)adjust: 12.0ms (9.6% of total)ival-add: 11.0ms (8.8% of total)ival-sub: 7.0ms (5.6% of total)ival-sqrt: 6.0ms (4.8% of total)ival-neg: 5.0ms (4% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (patch #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) c) (patch (*.f64 #s(literal -2 binary64) c) #<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 #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 (/ (+ (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))) (patch #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))) #<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 (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<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 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))) (patch (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<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 (*.f64 c c) (*.f64 b b)) (patch (/.f64 (*.f64 c c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.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 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.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 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.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 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (patch #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (patch #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (patch #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (patch #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 3))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) (patch (*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) #<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 (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 2))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | 0 | ((/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (* -2 c) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))) (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b 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)) (* b (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (+ (* (* -4 c) a) (* b b)) (/ (* c c) (* b b)) (/ (* (* (* a a) c) 1/2) (* b b)) (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b))) |
| 5.0ms | c | @ | inf | ((/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (* -2 c) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))) (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b 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)) (* b (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (+ (* (* -4 c) a) (* b b)) (/ (* c c) (* b b)) (/ (* (* (* a a) c) 1/2) (* b b)) (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b))) |
| 5.0ms | b | @ | 0 | ((/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (* -2 c) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))) (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b 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)) (* b (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (+ (* (* -4 c) a) (* b b)) (/ (* c c) (* b b)) (/ (* (* (* a a) c) 1/2) (* b b)) (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b))) |
| 5.0ms | c | @ | -inf | ((/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (* -2 c) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))) (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b 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)) (* b (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (+ (* (* -4 c) a) (* b b)) (/ (* c c) (* b b)) (/ (* (* (* a a) c) 1/2) (* b b)) (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b))) |
| 5.0ms | c | @ | 0 | ((/ (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (* -2 c) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))) (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b 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)) (* b (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c)))) (+ (* (* -4 c) a) (* b b)) (/ (* c c) (* b b)) (/ (* (* (* a a) c) 1/2) (* b b)) (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b))) |
| 1× | egg-herbie |
| 7 636× | lower-*.f64 |
| 7 636× | lower-*.f32 |
| 7 568× | lower-fma.f64 |
| 7 568× | lower-fma.f32 |
| 4 898× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1209 | 12352 |
| 1 | 4086 | 12038 |
| 0 | 8548 | 11601 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* 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)))))))) |
(* -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 a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 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)))))))) |
(/ -1/2 c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) c) |
(/ (- (* c (- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* -1/2 (/ a (pow b 2))))) 1/2) 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) |
(* -1/2 (/ 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)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))))) c) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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))))))) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -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))))) |
(* -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 (* (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)))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* c (+ (* 1/2 (/ a (* (pow b 2) c))) (* 1/2 (/ (pow a 2) (pow b 4))))) |
(* c (+ (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 1/2 (/ (pow a 2) (pow b 4))))) |
(* c (+ (* -1 (/ (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 1/2 (/ (pow a 2) (pow b 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))))))) |
(* (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) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* c (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* c (+ (* -1/2 (/ b (pow c 2))) (+ (* 1/2 (/ a (* b c))) (* 1/2 (/ (pow a 2) (pow b 3)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) 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)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* (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 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -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 (/ 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 (* (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)))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -1 (* c (+ (* -1/2 (/ a (* (pow b 2) c))) (* -1/2 (/ (pow a 2) (pow b 4)))))) |
(* -1 (* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -1/2 (/ (pow a 2) (pow b 4))) (/ 1/2 (pow c 2)))))) |
(* -1 (* c (+ (* -1/2 (/ a (* (pow b 2) c))) (+ (* -1/2 (/ (pow a 2) (pow b 4))) (/ 1/2 (pow c 2)))))) |
(* -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)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(* -1 (* c (+ (* -1/2 (/ a (* b c))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) c)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* -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)))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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))))))) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* (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 (/ 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 (* (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))))) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* (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 (/ (* (pow a 2) c) (pow b 4))) |
(/ (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) c))) (pow b 4)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (- (* -1/2 (/ (pow b 2) c)) (* -1/2 a)))) (pow b 4)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (- (* -1/2 (/ (pow b 2) c)) (* -1/2 a)))) (pow b 4)) |
(* 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 (/ (* (pow a 2) c) (pow b 3))) |
(/ (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(/ (+ (* 1/2 (* (pow a 2) c)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)))) (pow b 3)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* 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))))))) |
(* -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 (/ 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 a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
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))))))) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -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 (/ 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)))) (* 1/2 (/ 1 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))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* -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 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* 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)) |
(* -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 (/ 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 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -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)))))))) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(- (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* -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 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 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))))) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* 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)))))))) |
(* -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) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
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)))))))) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* a (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 c))) |
(- (* a (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 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))) (* -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 (/ 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 (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* (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))))) |
(* 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 (* (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 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 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 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* 1/2 (/ c (pow b 4))) (/ 1/2 (* a (pow b 2)))) (/ 1/2 (* (pow a 2) c)))) |
(* (pow a 2) (- (+ (* 1/2 (/ c (pow b 4))) (/ 1/2 (* a (pow b 2)))) (/ 1/2 (* (pow a 2) 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)) (/ 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 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* (pow a 2) (+ (* -1/2 (/ b (* (pow a 2) c))) (+ (* 1/2 (/ c (pow b 3))) (/ 1/2 (* a b))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (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 c) |
(* -2 c) |
(* -2 c) |
(* -2 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)))))) |
(* -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 (* (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 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(* -1/2 (/ b a)) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 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)))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* 1/2 (/ c (pow b 4))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* 1/2 (/ c (pow b 4))))) |
(* -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 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(* -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)))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
| Outputs |
|---|
(* -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) |
(* -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) |
(* -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) |
(* 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 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 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 (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) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) b) (/.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) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) b) (/.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 a)) (* 1/2 (/ b a))) |
#s(literal 0 binary64) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(/.f64 (neg.f64 c) b) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(+.f64 #s(literal 0 binary64) (*.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)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ 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 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 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(/ -1/2 c) |
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(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
c |
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(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
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(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
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(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a) |
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(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
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(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
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b |
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(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
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(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* -2 c) |
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(* -2 c) |
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(* -2 c) |
(*.f64 #s(literal -2 binary64) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
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(+ (* -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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 #s(literal 1/128 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 -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) a))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c 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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 #s(literal 1/128 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 -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) a))) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(* -1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/2 binary64)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) 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 (+ (* 1/4 (* (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 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) |
(* -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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) |
(* -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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 4))) (* 1/2 (/ 1 (* a (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* 1/2 (/ c (pow b 4))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))) a)) (* 1/2 (/ c (pow b 4))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) (neg.f64 a))) (*.f64 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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 #s(literal 1/128 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 -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) a))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/4 binary64))) |
(+ (* -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)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/16 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a))) |
(+ (* -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)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) c) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.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)) (*.f64 b b))) #s(literal 1/16 binary64))) (*.f64 (*.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)) (*.f64 b b))) #s(literal -1/16 binary64)))) a) #s(literal -1 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 3))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow a 2) (+ (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b c) (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))) a)) (* 1/2 (/ c (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b c) (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 a))) (*.f64 a a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -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)))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) b) (/.f64 c b)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) b) (/.f64 c b)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) b) (/.f64 c b)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) b) (/.f64 c b)) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ (* (pow a 2) c) (pow b 4))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) |
| 4 194× | lower-/.f32 |
| 4 174× | lower-/.f64 |
| 3 732× | lower-fma.f32 |
| 3 724× | lower-fma.f64 |
| 3 652× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 381 |
| 0 | 95 | 377 |
| 1 | 364 | 330 |
| 2 | 3237 | 330 |
| 0 | 8196 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) |
(*.f64 #s(literal -2 binary64) c) |
(+.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 (/ (+ (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))) |
(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) |
(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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c))))) |
(*.f64 b (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) |
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Compiled 43 960 to 4 616 computations (89.5% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 620 | 19 | 1 639 |
| Fresh | 13 | 6 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 635 | 29 | 1 664 |
| Status | Accuracy | Program |
|---|---|---|
| 30.5% | (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) | |
| 99.3% | (/.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) | |
| 99.4% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) 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)) | |
| 99.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) a) | |
| 99.6% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b)) | |
| ✓ | 99.7% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 99.7% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)) | |
| 99.7% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) b)) | |
| 90.9% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) | |
| 91.0% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) | |
| 94.2% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)))) | |
| 91.0% | (/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) b))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)))) | |
| 90.7% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))))) | |
| 93.8% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) c)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) | |
| 82.2% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) | |
| 99.3% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 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))) | |
| 99.5% | (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c))) | |
| 28.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) | |
| 82.5% | #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)) | |
| ✓ | 82.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 82.4% | #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)))) | |
| 82.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 82.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ✓ | 90.6% | #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))) |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 #s(approx (+ (* a (/ (* c c) (* b b))) c) (/.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c)) (*.f64 b b))) b))) | |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 #s(approx (+ (* a (/ (* c c) (* b b))) c) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (*.f64 c c))) b))) | |
| 82.5% | #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) | |
| 3.2% | #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
Compiled 4 480 to 1 123 computations (74.9% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
#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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.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 #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) |
#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)))) |
(/.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)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 a b)) (*.f64 (*.f64 a c) #s(literal -12 binary64))))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.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 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a 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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.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 #s(literal 2 binary64) a)) |
#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))) |
(/.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)) |
(/.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))) |
(/.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 #s(approx (+ (* a (/ (* c c) (* b b))) c) (/.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c)) (*.f64 b b))) 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(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 #s(approx (+ (* a (/ (* c c) (* b b))) c) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) (*.f64 c c))) b))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(-.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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) |
(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))) |
(+.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))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) 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)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 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))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (fma.f64 (*.f64 #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 (*.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))) |
(/.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)) |
(/.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 (/.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)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) (/.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 #s(literal 0 binary64)))))) |
(/.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)))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.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)) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) c)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 b) b))) (fma.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 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal 1/2 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))) |
(/.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 (/.f64 (*.f64 a a) b) #s(literal -6 binary64)) (*.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 (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 (*.f64 a c) #s(literal -2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) |
(/.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))))) |
#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))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c))) |
(*.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 (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 (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)))))) |
(*.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)))) |
(*.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)))) |
(*.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 #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 (+.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 #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 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b 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)))) |
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#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))) |
#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))))) |
#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 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)))))) |
#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)) |
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (-.f64 (*.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 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (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 (+.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))) |
#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 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) b) c)) c))) c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.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)))) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)))) b)) |
(/.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 #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 a (fma.f64 a (-.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 c c) b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b))) (*.f64 #s(literal -2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (*.f64 c c))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 c c))) (neg.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64)))))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) c)))))))) |
(/.f64 (/.f64 (-.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 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 (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 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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)) |
4 calls:
| 56.0ms | a |
| 52.0ms | (/.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)) |
| 41.0ms | c |
| 35.0ms | b |
| 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 (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
#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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.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 #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) |
#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)))) |
(/.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)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 a b)) (*.f64 (*.f64 a c) #s(literal -12 binary64))))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.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 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a 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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
4 calls:
| 53.0ms | (/.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)) |
| 6.0ms | c |
| 6.0ms | b |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 1 | a |
| 91.0% | 1 | b |
| 91.0% | 1 | c |
| 91.0% | 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 (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
#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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.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 #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) |
#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)))) |
(/.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)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (/ 1 (/ (+ (* b b) (+ (* (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (* (* -4 c) a) (* b b)))) (- (pow (+ (* (* -4 c) a) (* b b)) 3/2) (pow b 3))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 a b)) (*.f64 (*.f64 a c) #s(literal -12 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) |
4 calls:
| 35.0ms | c |
| 5.0ms | a |
| 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 |
|---|---|---|
| 90.9% | 1 | b |
| 90.9% | 1 | c |
| 90.9% | 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)) |
| 90.9% | 1 | a |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
#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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.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 #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) |
#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)))) |
(/.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)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))) |
| 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:
| 4.0ms | c |
| 4.0ms | b |
| 4.0ms | a |
| 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 |
|---|---|---|
| 90.6% | 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)) |
| 90.6% | 1 | a |
| 90.6% | 1 | b |
| 90.6% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
#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))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 b #s(approx (- (neg (/ (* (* (* a a) c) -1/2) (pow b 4))) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.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 #s(approx (- (/ (/ (* (* (* a a) c) 1/2) (* b b)) (* b b)) (+ (* -1/2 (/ a (* b b))) (/ 1/2 c))) (/.f64 #s(literal -1/2 binary64) c))))) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a)) |
#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)))) |
(/.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:
| 4.0ms | a |
| 4.0ms | c |
| 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 |
|---|---|---|
| 82.6% | 1 | b |
| 82.6% | 1 | c |
| 82.6% | 1 | a |
| 82.6% | 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 -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | (/.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)) |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | a |
| 3.2% | 1 | b |
| 3.2% | 1 | c |
| 3.2% | 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 |
| 20× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 197 |
| 1 | 75 | 197 |
| 2 | 86 | 197 |
| 3 | 94 | 197 |
| 4 | 97 | 197 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) |
(/.f64 #s(approx (* (/ 1/2 a) (- (+ (* (* -4 c) a) (* b b)) (* b b))) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) 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 (/ (+ (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)) (/.f64 (neg.f64 c) b)) |
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)) |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 7 766× | lower-*.f64 |
| 7 766× | lower-*.f32 |
| 7 636× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 520 |
| 0 | 125 | 515 |
| 1 | 498 | 497 |
| 2 | 4089 | 487 |
| 0 | 8310 | 487 |
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6070 | 3204 |
| 0 | 8235 | 3047 |
| 0 | 2938 | 28123 |
| 0 | 8268 | 26930 |
| 0 | 1209 | 12352 |
| 1 | 4086 | 12038 |
| 0 | 8548 | 11601 |
| 0 | 61 | 381 |
| 0 | 95 | 377 |
| 1 | 364 | 330 |
| 2 | 3237 | 330 |
| 0 | 8196 | 328 |
| 0 | 3092 | 34890 |
| 0 | 8048 | 33681 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 470 to 268 computations (43% saved)
Compiled 172 to 100 computations (41.9% saved)
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