
Time bar (total: 12.0s)
| 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 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 907.0ms | 5 591× | 0 | valid |
| 563.0ms | 2 665× | 1 | valid |
| 221.0ms | 1 351× | 0 | invalid |
const: 324.0ms (24.5% of total)ival-mult: 261.0ms (19.7% of total)ival-<: 202.0ms (15.3% of total)ival-div: 134.0ms (10.1% of total)ival-sqrt: 89.0ms (6.7% of total)ival-sub: 73.0ms (5.5% of total)adjust: 71.0ms (5.4% of total)ival-add: 66.0ms (5% of total)ival-neg: 55.0ms (4.2% of total)ival-and: 36.0ms (2.7% of total)exact: 10.0ms (0.8% of total)ival-assert: 4.0ms (0.3% 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 231 | 1 | (39.1451360900325 0.6593032685178418 2.7127909921628902e-5) | 5 | (0.20194830524985055 0.041969438576709164 5.850029208823713e-5) | (+.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 | 1 | (1313.9208663497323 555647.3135582965 58427391.19978273) | 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 | 227 | 8 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 225 | 7 |
| - | 3 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 225 | 6 | 1 |
| - | 3 | 2 | 19 |
| number | freq |
|---|---|
| 0 | 28 |
| 1 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 346× | 0 | valid |
| 30.0ms | 166× | 1 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-mult: 12.0ms (31.8% of total)adjust: 6.0ms (15.9% of total)ival-div: 5.0ms (13.2% of total)ival-sqrt: 5.0ms (13.2% of total)ival-add: 3.0ms (7.9% of total)ival-sub: 3.0ms (7.9% of total)ival-neg: 2.0ms (5.3% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.8% | (/.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 20 to 14 computations (30% 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 99.6% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | accuracy | 99.5% | (/.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 | 57.0% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 17.0ms | 83× | 1 | valid |
| 16.0ms | 173× | 0 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-div: 6.0ms (28.7% of total)ival-mult: 6.0ms (28.7% of total)adjust: 2.0ms (9.6% of total)ival-sub: 2.0ms (9.6% of total)ival-sqrt: 2.0ms (9.6% of total)ival-neg: 2.0ms (9.6% of total)ival-add: 1.0ms (4.8% 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 (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#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 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#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 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#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 (+ (* 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))) (taylor 0 b) (#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 (* -2 (/ (* a c) b)) (taylor inf b) (#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 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#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 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#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 (/ (* (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) (taylor inf b) (#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 (* -2 b) (taylor -inf b) (#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 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#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 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#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 (* 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)))))))) (taylor -inf b) (#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 (* -2 (/ (* a c) b)) (taylor 0 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 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 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 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 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 (* 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)))))))) (taylor 0 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 (* (sqrt (* a c)) (sqrt -4)) (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 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (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 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ 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 (* 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))) (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 (* -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>) () ())) ()) |
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#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#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 (+ 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))))))) (taylor inf b) (#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 b) (taylor -inf b) (#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 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#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 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#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 (* 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)))))))) (taylor -inf b) (#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 (taylor 0 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 (+ b (* -2 (/ (* a c) b))) (taylor 0 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 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 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 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 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 (* (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 (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>) () ())) ()) |
#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 (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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf 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 (* 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))))) (taylor inf 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 (* 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)))))) (taylor inf 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 (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf 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 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf 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 (* -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))))))) (taylor -inf 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 (* -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)))))))) (taylor -inf 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>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* (* 4 a) c))) |
| 1.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | c | @ | inf | (sqrt (- (* b b) (* (* 4 a) c))) |
| 1.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 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 | 6083 | 3204 |
| 0 | 8243 | 3047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -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)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 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 b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(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 b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -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)))) |
(* 1/2 (* (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) (* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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))))))))) |
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 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)))))))) |
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 (+ (* 1/2 (* (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 (+ (* 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)))))))) |
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 (+ (* 1/2 (* (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 (+ (* 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)))))))) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 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))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 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) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 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))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (neg.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b)) |
(* -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)))))))) |
(*.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64))))) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(* 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 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 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 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (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 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) a) b) a)) (neg.f64 a)) |
(* -2 (/ (* a c) b)) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b))) |
(* 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 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) 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 (/.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 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 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 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) 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 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/64 binary64)))) c) b) c)) (neg.f64 c)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
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(+ (* -4 (* a c)) (pow b 2)) |
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(pow b 2) |
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(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
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(/.f64 c (neg.f64 b)) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (/ c b)) |
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(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
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(* 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))) |
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* (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))))))))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) b) |
(* 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))))))) |
(fma.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 a c) (*.f64 b b)) b) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) (neg.f64 b)) |
(* -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)))))))) |
(*.f64 b (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c 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 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.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 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))) |
(* 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 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))) |
(* 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 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -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 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a)) |
(* -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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c 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 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.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 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) |
(* -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))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))))) |
(* -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)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))))) |
| 1× | batch-egg-rewrite |
| 4 850× | lower-fma.f64 |
| 4 850× | lower-fma.f32 |
| 3 904× | lower-*.f32 |
| 3 896× | lower-*.f64 |
| 2 332× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
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b |
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(-.f64 #s(literal 0 binary64) b) |
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(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))) |
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
Compiled 22 484 to 2 082 computations (90.7% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 33 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 561 | 33 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| 55.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 57.7% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 56.0% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 56.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 56.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.7% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 91.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 87.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 80.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 80.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 80.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 87.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 91.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.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 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 63.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 87.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
| 91.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 55.8% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| 56.8% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) | |
| 11.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 a (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))) | |
| 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b)) | |
| ▶ | 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
| ▶ | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))) | |
| 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) | |
| ▶ | 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))))) | |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))) |
Compiled 2 308 to 1 238 computations (46.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 640 | (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
| ✓ | cost-diff | 1152 | (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 c (neg.f64 b)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) |
| ✓ | cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| 7 002× | lower-fma.f32 |
| 6 988× | lower-fma.f64 |
| 6 448× | lower-*.f32 |
| 6 408× | lower-*.f64 |
| 2 352× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 840 |
| 0 | 130 | 777 |
| 1 | 280 | 752 |
| 2 | 808 | 738 |
| 3 | 2869 | 718 |
| 4 | 4477 | 718 |
| 0 | 8105 | 710 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 #s(literal -1/4 binary64) c) |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 20 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 a b) |
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
(neg.f64 a) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) |
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 #s(literal -2 binary64) (*.f64 a a)) |
#s(literal -2 binary64) |
(*.f64 a a) |
a |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
(/.f64 a (*.f64 b b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
a |
(fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) (*.f64 c c)) |
#s(literal -2 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (fma.f64 c (fma.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) |
(fma.f64 c (fma.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) |
(fma.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 a a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) |
(/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a (pow.f64 b #s(literal 7 binary64)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 #s(literal -1/4 binary64) c) |
(*.f64 c #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 20 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 a b) |
(*.f64 b a) |
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
(neg.f64 a) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
c |
(neg.f64 b) |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) c (neg.f64 a)) (neg.f64 c)) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) c (neg.f64 a)) (neg.f64 c)) b) |
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
(fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) c (neg.f64 a)) (neg.f64 c)) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) (*.f64 a a)) |
(*.f64 a (*.f64 a #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 a a) |
a |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
(/.f64 a (*.f64 b b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 a #s(literal 2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (/.f64 c b)))) |
a |
(fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) |
(fma.f64 a (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -2 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b b))) |
b |
#s(literal 5 binary64) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) (*.f64 c c)) |
(*.f64 c (*.f64 c #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
| ✓ | accuracy | 88.1% | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 b b) (*.f64 b b)) |
| ✓ | accuracy | 88.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 57.0% | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
| ✓ | accuracy | 100.0% | (/.f64 c (neg.f64 b)) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| ✓ | accuracy | 99.5% | (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) |
| ✓ | accuracy | 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
| 123.0ms | 83× | 1 | valid |
| 89.0ms | 173× | 0 | valid |
Compiled 713 to 75 computations (89.5% saved)
ival-mult: 50.0ms (29.5% of total)ival-add: 38.0ms (22.4% of total)adjust: 31.0ms (18.3% of total)ival-div: 30.0ms (17.7% of total)ival-pow: 8.0ms (4.7% of total)ival-sqrt: 5.0ms (2.9% of total)ival-sub: 3.0ms (1.8% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) (patch (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (patch (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (patch (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) (patch (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
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#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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | 0 | (+ (* (/ (* c (* c c)) (pow b 5)) (* a -4)) (/ (* -2 (* c c)) (* b (* b b)))) |
| 4.0ms | a | @ | 0 | (/ (neg a) (* b (* b b))) |
| 3.0ms | c | @ | inf | (/ (* (* -1/4 c) (/ (* (pow a 4) 20) (pow b 6))) (* a b)) |
| 3.0ms | b | @ | 0 | (/ (* (* -1/4 c) (/ (* (pow a 4) 20) (pow b 6))) (* a b)) |
| 2.0ms | c | @ | 0 | (/ (* (* -1/4 c) (/ (* (pow a 4) 20) (pow b 6))) (* a b)) |
| 1× | egg-herbie |
| 10 988× | lower-fma.f64 |
| 10 988× | lower-fma.f32 |
| 7 998× | lower-*.f64 |
| 7 998× | lower-*.f32 |
| 3 644× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 713 | 12406 |
| 1 | 2271 | 12206 |
| 2 | 7820 | 12206 |
| 0 | 8004 | 11825 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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 (/ 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) (* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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 b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 1/2 (* (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) (* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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))))) |
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 (+ (* 1/2 (* (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 (+ (* 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)))))))) |
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 (+ (* 1/2 (* (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 (+ (* 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)) |
(+ (* 1/2 (* (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))))))))) |
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 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 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(* -1 c) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1)) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4)) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ 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 (* (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) (* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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 (/ (* 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 (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3))))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a)))) |
(* -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 (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5)) |
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (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))))) b) |
(* -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))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (pow c 3) (pow b 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 (/ 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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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))))) |
(* (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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -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)))))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* 20 (/ (pow a 4) (pow b 6))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(* -1 (/ a (pow b 3))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(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 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 b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
| Outputs |
|---|
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* -5 (/ (* (pow a 4) c) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) (pow.f64 b #s(literal 6 binary64))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(+ (* 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))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 (neg.f64 b) b))) (neg.f64 c)) 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) |
(/.f64 (+.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 (neg.f64 b) b))) (neg.f64 c)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 (/ b a)) |
(neg.f64 (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(* -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)))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b)))))) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 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))))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.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)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -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 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
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b |
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b |
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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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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(* -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)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/2 binary64)))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 (*.f64 a c) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* 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))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -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)))))))) |
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(* -1 c) |
(neg.f64 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
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(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c) |
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(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
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(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
(*.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 a a))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b a))))) |
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2))))) |
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(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2)))))) |
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(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (/.f64 c (*.f64 b b)) (/.f64 c a)) a))) |
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a)))) |
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(* -1 c) |
(neg.f64 c) |
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(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c))))) |
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(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64)))) |
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(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
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(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))))) |
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(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) |
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(* -1 c) |
(neg.f64 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
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(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
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(* -1 c) |
(neg.f64 c) |
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(neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
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(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 (neg.f64 b) b))) (neg.f64 c)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
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(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 4 922× | lower-*.f32 |
| 4 882× | lower-*.f64 |
| 3 728× | lower-fma.f32 |
| 3 714× | lower-fma.f64 |
| 3 150× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 477 |
| 0 | 130 | 436 |
| 1 | 515 | 411 |
| 2 | 4508 | 406 |
| 0 | 8898 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 5 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
(neg.f64 b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64)))) |
(pow.f64 b #s(literal 5 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b)) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 b (neg.f64 a))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 b (neg.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) b) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) a) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -20 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) b) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -20 binary64)) (*.f64 b (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) a) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b) a) |
(pow.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 b a) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 c (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 20 binary64)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 20 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
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(*.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 20 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) a)) |
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(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) b) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -20 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) a)) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -20 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -1/4 binary64) c) b)) |
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(/.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 20 binary64)))) |
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(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 1 binary64)) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 20 binary64)))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) c)) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 20 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -20 binary64)) (*.f64 #s(literal -1/4 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(pow.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 1/2 binary64)) a) |
(/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 1/2 binary64))) (neg.f64 a)) |
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(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) a) #s(literal 2 binary64)) |
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(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/4 binary64)) |
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(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (fma.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)))) |
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) |
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(fma.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) |
(fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a #s(literal -2 binary64)))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a #s(literal -2 binary64))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) |
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(fma.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 c (/.f64 c (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) |
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(/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) b) b) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 c (*.f64 c (/.f64 c (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c c) (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c c) (/.f64 c (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c c))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) |
(*.f64 (*.f64 c (/.f64 c (*.f64 b (*.f64 b (*.f64 b b))))) c) |
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 c (*.f64 b (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 3 binary64) (neg.f64 (*.f64 #s(literal 5 binary64) (log.f64 b))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (log.f64 b))) (*.f64 (log.f64 c) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) (log.f64 b)))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c c)) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))))) |
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 c c)))) (neg.f64 (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c c))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) c) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 c (pow.f64 b #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c))))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b))) (*.f64 b (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c c)) (*.f64 b b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b)) b) b) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b))) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c c) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 c (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 #s(literal -2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c #s(literal -2 binary64)))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 c (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal -2 binary64)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)) (/.f64 (*.f64 c c) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b)) (/.f64 c b)) |
Compiled 51 614 to 3 602 computations (93% saved)
55 alts after pruning (52 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 347 | 36 | 1 383 |
| Fresh | 12 | 16 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 361 | 55 | 1 416 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 58.1% | (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 55.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| 55.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 57.7% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 57.6% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 58.1% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| 56.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) | |
| 56.0% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 56.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 56.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 58.0% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| 58.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 56.7% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 91.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 87.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 63.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 80.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 80.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 80.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 91.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 63.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 91.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 56.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| ▶ | 87.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
| 55.8% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| 56.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) | |
| 87.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) | |
| 11.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) | |
| 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b)) | |
| 87.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) (neg.f64 c))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) (neg.f64 c)))) b)) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) c) b)) | |
| 87.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) b) (*.f64 b (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (*.f64 b b))) | |
| ✓ | 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
| 87.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (/.f64 (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 b (*.f64 b c) (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64)))) b)) | |
| 87.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (/.f64 c (*.f64 b b)) (/.f64 c a)) a)))) b)) | |
| 87.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 a a))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b a)))))) b)) | |
| 80.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) | |
| 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) | |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) | |
| ✓ | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| 87.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))))) | |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) (/.f64 c b))) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))) | |
| 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.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))))))) | |
| 87.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)))) | |
| ▶ | 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ▶ | 91.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) | |
| 87.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) b) (/.f64 (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 b (*.f64 b c) (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) #s(literal -2 binary64)))) (pow.f64 b #s(literal 5 binary64))))) | |
| 87.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) b) (*.f64 (*.f64 c (*.f64 c c)) (+.f64 (neg.f64 (/.f64 a (*.f64 b (*.f64 b (*.f64 b c))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 c c)))))))) |
Compiled 3 605 to 1 858 computations (48.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) |
| ✓ | cost-diff | 320 | (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
| ✓ | cost-diff | 1600 | (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 320 | (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | cost-diff | 576 | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) 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 | 320 | (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
| ✓ | cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| 6 888× | lower-fma.f32 |
| 6 876× | lower-fma.f64 |
| 6 580× | lower-*.f32 |
| 6 530× | lower-*.f64 |
| 3 150× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 1022 |
| 0 | 131 | 916 |
| 1 | 294 | 811 |
| 2 | 1037 | 750 |
| 3 | 4992 | 733 |
| 4 | 7930 | 726 |
| 0 | 8939 | 715 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) |
(*.f64 #s(literal -1/4 binary64) c) |
#s(literal -1/4 binary64) |
#s(literal 20 binary64) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 b a) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b b) |
(*.f64 b (*.f64 b b)) |
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
(neg.f64 a) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
#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 |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
b |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 b b) |
b |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) |
(*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
c |
(*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 c c) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b b) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 c (*.f64 c #s(literal -2 binary64))) |
(*.f64 c #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (-.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(*.f64 c (fma.f64 c (-.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
c |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (-.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) |
(-.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 a (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 c (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 a (*.f64 c (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) |
(*.f64 c #s(literal -5 binary64)) |
(*.f64 #s(literal -1/4 binary64) c) |
(*.f64 c #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 20 binary64) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 b a) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b b) |
(*.f64 b (*.f64 b b)) |
(/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) |
(/.f64 a (*.f64 b (*.f64 b (neg.f64 b)))) |
(neg.f64 a) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 c (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
c |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
b |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
c |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 b b) |
b |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) b))))) (*.f64 a #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) |
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) b)))))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) b))))) |
(*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(*.f64 a (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) b)))) |
(fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) b))) |
(fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c (/.f64 c (*.f64 b (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal -2 binary64))) |
c |
(*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c #s(literal -4 binary64)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c c) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 c c) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b b) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 c (*.f64 c #s(literal -2 binary64))) |
(*.f64 c #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 88.1% | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) |
| ✓ | accuracy | 99.7% | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 99.5% | (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| ✓ | accuracy | 58.1% | (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| ✓ | accuracy | 57.0% | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) b) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal -1 binary64) b) c) |
| ✓ | accuracy | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
| 99.0ms | 187× | 0 | valid |
| 70.0ms | 69× | 1 | valid |
Compiled 870 to 76 computations (91.3% saved)
ival-mult: 56.0ms (45.5% of total)ival-div: 31.0ms (25.2% of total)ival-add: 9.0ms (7.3% of total)adjust: 6.0ms (4.9% of total)ival-sub: 6.0ms (4.9% of total)ival-sqrt: 6.0ms (4.9% of total)ival-pow: 5.0ms (4.1% of total)ival-neg: 2.0ms (1.6% 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 (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (patch (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) #<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 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (patch (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(literal 2 binary64)) (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (patch (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) (patch (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) (patch (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (patch (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -5 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -5 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -5 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -5 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -5 (/ (* (pow a 3) c) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#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 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<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)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#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 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* a c)) (taylor 0 b) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (* a c)) (taylor inf b) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (* a c)) (taylor inf b) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* a c)) (taylor inf b) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (* a c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* a c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (patch (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow c 2) (pow b 5)) (taylor inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow c 2) (pow b 5)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow c 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | c | @ | -inf | (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
| 23.0ms | c | @ | 0 | (/ (* (* (* -1/4 c) 20) (* a (* a (* a a)))) (* (* b a) (* b (* (* b b) (* b (* b b)))))) |
| 12.0ms | a | @ | -inf | (/ 1 (- (neg b) (sqrt (+ (* b b) (* c (* a -4)))))) |
| 4.0ms | a | @ | 0 | (- (neg b) (sqrt (+ (* b b) (* c (* a -4))))) |
| 3.0ms | b | @ | 0 | (/ (* c c) (* (* b b) (* b (* b b)))) |
| 1× | egg-herbie |
| 7 448× | lower-*.f64 |
| 7 448× | lower-*.f32 |
| 6 168× | lower-fma.f64 |
| 6 168× | lower-fma.f32 |
| 3 182× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1628 | 17149 |
| 1 | 5495 | 16600 |
| 0 | 8245 | 16036 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -2 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* -2 (/ (pow a 2) (pow b 5))) |
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5)) |
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5)) |
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5)) |
(* -2 (/ (pow a 2) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -2 (/ (pow a 2) (pow b 5))) |
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) |
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) |
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7)))))) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -5 c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -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 (/ 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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 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 (* (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 (/ 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 (/ 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) (* -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 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)) |
(* 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 (* (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 (/ 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)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* 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)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (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))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4)))))))) (* -2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -1 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -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))) (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2)))) (/ 1 c))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ b c)) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* 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)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -2 (/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -2 (/ (+ (* -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))) (+ (* -2 (/ (+ (* 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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b c)) (* 2 (/ (+ (* -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))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* (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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -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)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a 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 (/ 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 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -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 (* (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))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* 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 (* (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) |
(* (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)) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))) |
(* -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))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -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)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* 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))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -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))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* -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)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))) (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2))))))) |
(/ -1/2 b) |
(/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b) |
(/ (- (* -1 (/ (+ (* 1/2 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b) |
(* -1/2 (/ b (* a c))) |
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1/2 (* a c)) (* a c)) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a c)) (* a c))))) (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 (* a c)))) (+ (* -1/2 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ 1 (pow b 2))) (/ (* a c) (pow b 4))))))) |
(/ -1/2 b) |
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (- (* c (- (* -1 (* c (+ (* 1/2 (/ (pow a 3) (pow b 7))) (* 2 (/ (pow a 3) (pow b 7)))))) (/ (pow a 2) (pow b 5)))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* 1/4 (/ b a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (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))))))))) (* 1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/16 (* (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)) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/ -1/2 b) |
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (- (* -1 (/ (* a (pow c 2)) (pow b 5))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* 1/2 (/ (pow c 3) (pow b 7))) (* 2 (/ (pow c 3) (pow b 7)))))) (/ (pow c 2) (pow b 5)))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c))) a)) |
(* -1 (/ (+ (* -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)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))) a)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -4 (/ (* a c) (pow b 5))) (* 2 (/ 1 (pow b 3))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 4 (/ a (pow b 5))) (* 2 (/ 1 (* (pow b 3) c)))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -4 (* a (pow c 3))) (* -2 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(/ (+ (* -4 (/ (* a (pow c 3)) (pow b 2))) (* -2 (pow c 2))) (pow b 3)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 2 (pow c 2)) (* 4 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* -4 (/ (* a (pow c 3)) (pow b 5))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 2 (/ (pow c 2) (* a (pow b 3)))) (* 4 (/ (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))))))) |
(* 1/2 (* (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 (/ 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 (/ 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) (* -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 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)) |
(* 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 (* (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 (/ 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 (/ c b)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(* -4 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ c (* (pow a 2) b))) (* -2 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ c (* (pow a 2) b))) (* -2 (/ (pow c 2) (* a (pow b 3))))))) |
(* -4 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (* -2 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))) a)))) |
(* (pow a 2) (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 2 (/ c (* a b))) (* 2 (/ (pow c 2) (pow b 3)))) a)))) |
(* -2 (/ c b)) |
(* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* -4 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -4 (/ (pow a 2) (pow b 5))) (* -2 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -4 (/ (pow a 2) (pow b 5))) (* -2 (/ a (* (pow b 3) c)))) (/ 2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -4 (/ (pow a 2) (pow b 5))) (* -2 (/ a (* (pow b 3) c)))) (/ 2 (* b (pow c 2))))) |
(* -4 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 2 (/ a (* (pow b 3) c))) (* 4 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -2 (/ a (pow b 3))) (* 2 (/ 1 (* b c)))) c)) (* 4 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -2 (/ a (pow b 3))) (* 2 (/ 1 (* b c)))) c)) (* 4 (/ (pow a 2) (pow b 5)))))) |
(* -4 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -4 (* (pow a 2) (pow c 3))) (* -2 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -4 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -2 (* a (pow c 2))) (* -2 (* (pow b 2) c))))) (pow b 5)) |
(/ (+ (* -4 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -2 (* a (pow c 2))) (* -2 (* (pow b 2) c))))) (pow b 5)) |
(* -2 (/ c b)) |
(/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2 (/ c b)) |
(* -1 (/ (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 2 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* 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)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (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))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4)))))))) (* -2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -1 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -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))) (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2)))) (/ 1 c))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ b c)) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* 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)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -2 (/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -2 (/ (+ (* -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))) (+ (* -2 (/ (+ (* 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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b c)) (* 2 (/ (+ (* -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))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) 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 (/ 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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* a (pow b 7)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* -5 (* (pow a 4) c)) |
(* (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))))))))) |
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 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)))))))) |
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 (+ (* 1/2 (* (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 (+ (* 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)))))))) |
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 (+ (* 1/2 (* (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 (+ (* 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 (* 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))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* 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))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (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))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -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 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (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))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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)))))) |
(* (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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -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)))))) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(/ (pow c 2) (pow b 5)) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(* -2 (/ (pow c 2) (pow b 3))) |
| Outputs |
|---|
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -5 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* -2 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -5 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -5 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))))) |
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b |
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b |
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b |
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(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(* -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)))))))) |
(*.f64 (neg.f64 b) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(* 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 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 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))) |
(*.f64 a (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) 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 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64))) (neg.f64 a)) b) a)) (neg.f64 a)) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a 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 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(* 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 -2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) 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 (*.f64 c (*.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) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (*.f64 (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)))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) 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) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 2) (pow b 5)) |
(/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -2 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 4 846× | lower-*.f32 |
| 4 796× | lower-*.f64 |
| 3 060× | lower-fma.f32 |
| 3 052× | lower-/.f32 |
| 3 048× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 627 |
| 0 | 131 | 541 |
| 1 | 524 | 455 |
| 2 | 4611 | 446 |
| 0 | 8665 | 441 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 5 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(*.f64 a #s(literal 2 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
(fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 c (*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) |
(/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(pow.f64 b #s(literal 5 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b)) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 b (neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (*.f64 b b))) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) b) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (neg.f64 (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a))) (neg.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) b) (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)) b) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) b) |
(pow.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 c #s(literal 20 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 #s(literal 20 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 #s(literal 20 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 c #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 c #s(literal -5 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(*.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 c #s(literal -5 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) b) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 b a)) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b a)) (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) b) (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) b) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) (*.f64 b a)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) a) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (neg.f64 (*.f64 c #s(literal -5 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 b a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -5 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b)))) |
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal 2 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) #s(literal 2 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b))) (neg.f64 (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 c b) (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) |
(/.f64 (*.f64 c (*.f64 c (/.f64 #s(literal -2 binary64) (*.f64 b b)))) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b)) b) b) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c c) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 c (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 c c) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 c b) (*.f64 c (/.f64 #s(literal -2 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) (*.f64 b b))) (/.f64 c b)) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c #s(literal -2 binary64)))) |
(*.f64 (*.f64 c (/.f64 (*.f64 c #s(literal -2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 #s(literal -2 binary64) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b (*.f64 b b))) c) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
Compiled 76 961 to 5 645 computations (92.7% saved)
40 alts after pruning (35 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 785 | 24 | 1 809 |
| Fresh | 36 | 11 | 47 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 824 | 40 | 1 864 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) | |
| ▶ | 99.2% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| 99.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.8% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))) | |
| 56.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) | |
| 99.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) | |
| ✓ | 56.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 56.7% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.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 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
| 99.0% | (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (fma.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) | |
| 99.0% | (/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) | |
| 63.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 63.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) | |
| ✓ | 56.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) | |
| 56.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) a)) | |
| 88.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 c))))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c))))) | |
| 55.8% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) | |
| 55.5% | (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64)))) | |
| 99.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a))) | |
| 99.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) | |
| 56.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) | |
| 11.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| ▶ | 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
| ✓ | 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) |
| 80.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) | |
| 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) | |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) | |
| ✓ | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| ▶ | 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| ✓ | 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) | |
| 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
Compiled 1 784 to 1 032 computations (42.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal -4 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 1344 | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 704 | (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| ✓ | cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal -4 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 1344 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
| 3 820× | lower-fma.f32 |
| 3 814× | lower-fma.f64 |
| 3 396× | lower-*.f32 |
| 3 380× | lower-*.f64 |
| 3 110× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 426 |
| 0 | 81 | 414 |
| 1 | 150 | 400 |
| 2 | 329 | 394 |
| 3 | 1373 | 381 |
| 4 | 4638 | 371 |
| 5 | 7115 | 371 |
| 0 | 8042 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
#s(literal 0 binary64) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.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 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
#s(literal -1 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
(*.f64 c c) |
c |
(/.f64 a (*.f64 b b)) |
a |
(*.f64 b b) |
b |
(neg.f64 b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))))) |
#s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
a |
(fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) |
(/.f64 b a) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
#s(literal 0 binary64) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.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 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 c #s(literal 2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
#s(literal 0 binary64) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.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 b b) |
#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)) (neg.f64 (/.f64 c b))) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(neg.f64 (/.f64 c b)) |
#s(literal -1 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) c) c) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(/.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) c) c) (neg.f64 b)) |
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) c) c) |
(*.f64 c c) |
c |
(/.f64 a (*.f64 b b)) |
a |
(*.f64 b b) |
b |
(neg.f64 b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))))) |
(sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
#s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))) |
#s(approx (+ (* (* a c) -4) (* b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
a |
(fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) |
(fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) |
(/.f64 b a) |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
#s(literal 0 binary64) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.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 b b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
| ✓ | accuracy | 99.6% | (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
| ✓ | accuracy | 99.6% | (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.6% | (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 57.0% | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 a (*.f64 b b)) |
| ✓ | accuracy | 81.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| ✓ | accuracy | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
| ✓ | accuracy | 99.7% | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
| ✓ | accuracy | 99.6% | (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
| 59.0ms | 173× | 0 | valid |
| 49.0ms | 83× | 1 | valid |
Compiled 377 to 49 computations (87% saved)
ival-mult: 26.0ms (34.7% of total)ival-div: 21.0ms (28% of total)ival-add: 11.0ms (14.7% of total)ival-sqrt: 6.0ms (8% of total)adjust: 5.0ms (6.7% of total)ival-sub: 4.0ms (5.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (*.f64 a #s(literal -4 binary64))) (patch (*.f64 c (*.f64 a #s(literal -4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.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 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (patch (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) (patch (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor -inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor -inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor -inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor -inf c) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 c) (taylor 0 a) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.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 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (*.f64 b b)) (patch (/.f64 a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow b 2) a) (taylor inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow b 2) a) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow b 2) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (* a c)) (pow b 2)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (* a c)) (pow b 2)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (* a c)) (pow b 2)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow b 2) a) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 c) (/ (pow b 2) a)) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) (* a c)) 4)) (taylor inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) (* a c)) 4)) (taylor inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) (* a c)) 4)) (taylor inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) (patch (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (* a (+ (* b (/ b a)) (* c -4))) |
| 1.0ms | a | @ | -inf | (* a (+ (* b (/ b a)) (* c -4))) |
| 1.0ms | c | @ | inf | (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) |
| 1.0ms | a | @ | inf | (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) |
| 1.0ms | c | @ | 0 | (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) |
| 1× | egg-herbie |
| 10 150× | lower-fma.f64 |
| 10 150× | lower-fma.f32 |
| 8 560× | lower-*.f64 |
| 8 560× | lower-*.f32 |
| 4 954× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 985 | 10713 |
| 1 | 3271 | 10284 |
| 0 | 8941 | 9895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 2 c) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a c)) |
(* 4 (* a 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))) |
(* -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))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* 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 (* (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) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -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 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -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 (/ 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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b 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 (/ 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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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)) |
(* 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))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(/ (* 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)))) |
(/ (* 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)))) |
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))) |
(/ (* 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)))) |
(/ (* 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)))))) |
(/ (* 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)) |
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))) |
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))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(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 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 b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* (sqrt (* 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))) |
(* -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) |
(* -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)))))))) |
(* -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)))))))) |
(* (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))) |
(* -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 (/ (* 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)))))))) |
(* (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))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 1/2 (* (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) (* -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 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 (/ (* 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 (* (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 (/ 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 (/ 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 (* (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 (/ 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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 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))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -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))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* 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 (* (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) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -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 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -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))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -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)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* 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))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -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))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* -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)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(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 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 (* (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))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* 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))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 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)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (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))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -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 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (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))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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)))))) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -4 c) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 2) (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(/ (pow b 2) a) |
(/ (+ (* -4 (* a c)) (pow b 2)) a) |
(/ (+ (* -4 (* a c)) (pow b 2)) a) |
(/ (+ (* -4 (* a c)) (pow b 2)) a) |
(* -4 c) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(* -4 c) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(/ (pow b 2) a) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(+ (* -4 c) (/ (pow b 2) a)) |
(* -4 c) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(* -4 c) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
| Outputs |
|---|
(* 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 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 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) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* 4 (* a c)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.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 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.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 c (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (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)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(- (+ (* -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))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (neg.f64 c) c)) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))) |
(- (+ (* -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))))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 b (*.f64 b b))) c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))))) (neg.f64 (*.f64 c (*.f64 c c)))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b a) #s(literal 1/2 binary64))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -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))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 c b) a) #s(literal 1/2 binary64))) c)) |
(+ (* -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))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))) (neg.f64 c)) (*.f64 (/.f64 (*.f64 c b) a) #s(literal 1/2 binary64))) c)) |
(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b))) |
(+ (* -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))))))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) #s(literal -5/2 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal -4 binary64))) 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) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) 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) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) a) a)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) (neg.f64 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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64)) a) (*.f64 #s(literal -1/2 binary64) (*.f64 a b))) a))) (neg.f64 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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a b)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) a) a)) c)) a) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64)))) a)) a))) (neg.f64 a)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -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))))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) (fma.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
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(fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -4 binary64))) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -4 binary64))) |
(* c (- (/ (pow b 2) (* a c)) 4)) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -4 binary64))) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 c a)))) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 c a)))) |
(* -1 (* c (+ 4 (* -1 (/ (pow b 2) (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 b b) (*.f64 c a)))) |
| 1× | batch-egg-rewrite |
| 5 766× | lower-fma.f32 |
| 5 760× | lower-fma.f64 |
| 3 994× | lower-/.f32 |
| 3 974× | lower-/.f64 |
| 3 706× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 276 |
| 0 | 81 | 270 |
| 1 | 322 | 256 |
| 2 | 2521 | 256 |
| 0 | 8989 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(/.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 b c))) |
(/.f64 b c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) |
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) |
(*.f64 c c) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (neg.f64 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 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 a (*.f64 b b)) |
(fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) a) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) a)) |
(/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (*.f64 a (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (*.f64 (neg.f64 a) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) (neg.f64 (*.f64 a (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) (neg.f64 (*.f64 (neg.f64 a) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))))))) |
(pow.f64 (/.f64 a (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 c (*.f64 a #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 c (neg.f64 (*.f64 a #s(literal -4 binary64))) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 a (neg.f64 (*.f64 c #s(literal -4 binary64))) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 #s(literal 4 binary64) c) #s(literal 0 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) #s(literal 0 binary64)) |
(fma.f64 #s(literal -4 binary64) (neg.f64 (*.f64 c a)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c #s(literal 0 binary64)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (neg.f64 c) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 c a) #s(literal 0 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) c #s(literal 0 binary64)) |
(fma.f64 (*.f64 a #s(literal 4 binary64)) (neg.f64 c) #s(literal 0 binary64)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a #s(literal 0 binary64)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 c a) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 a) (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (neg.f64 (fma.f64 (*.f64 c c) #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 c #s(literal -4 binary64)))) a)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (neg.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a))) (-.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)) (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 c c) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)))) (neg.f64 (-.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (/.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (*.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))) (/.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 c c) #s(literal 16 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 c c) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b a) (*.f64 #s(literal 4 binary64) c)))) |
Compiled 66 708 to 4 674 computations (93% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 093 | 20 | 2 113 |
| Fresh | 17 | 13 | 30 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 2 114 | 39 | 2 153 |
| Status | Accuracy | Program |
|---|---|---|
| 98.9% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 99.0% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) | |
| 99.2% | (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 99.4% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) | |
| 99.0% | (/.f64 (/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) | |
| 99.2% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 56.7% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 56.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 56.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a)) |
| 99.3% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))))) | |
| 98.9% | (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64)) (*.f64 a a)) (neg.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) | |
| 99.2% | (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))) | |
| 99.2% | (/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 c (*.f64 a #s(literal -4 binary64))))) | |
| 63.4% | (/.f64 #s(approx (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 2 binary64) a)) | |
| 99.5% | (/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) | |
| 88.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (fma.f64 a (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 b (neg.f64 c))))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) | |
| 81.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c))))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) | |
| 99.2% | (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) | |
| 99.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a))) | |
| 99.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) | |
| 56.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) | |
| 80.9% | #s(approx (/ (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) | |
| 11.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) | |
| ✓ | 80.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) | |
| 80.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) | |
| 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) | |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) | |
| ✓ | 63.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| ✓ | 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) | |
| 80.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))) | |
| ✓ | 63.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| 80.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) (/.f64 (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
Compiled 4 037 to 1 051 computations (74% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) 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 c) (/.f64 a (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) (/.f64 (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c))))) |
(/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.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)) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (/.f64 c (*.f64 b b)) (/.f64 c a)) a)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 a a))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b a)))))) b)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 (fma.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 c c))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) (neg.f64 c))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 c (/.f64 (*.f64 c a) (*.f64 b b)) (neg.f64 c)))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)) (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) #s(literal 20 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b a) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.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))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 b (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) c) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.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 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
4 calls:
| 80.0ms | b |
| 65.0ms | c |
| 62.0ms | (/.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 | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | c |
| 99.5% | 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 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) 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 c) (/.f64 a (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) (/.f64 (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
4 calls:
| 51.0ms | (/.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)) |
| 21.0ms | b |
| 8.0ms | c |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 1 | a |
| 85.7% | 2 | b |
| 81.5% | 1 | c |
| 85.4% | 2 | (/.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 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) 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 c) (/.f64 a (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) (/.f64 (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
1 calls:
| 26.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) 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 c) (/.f64 a (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) (neg b)) (/.f64 (neg.f64 (fma.f64 c (*.f64 b b) (*.f64 a (*.f64 c c)))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 a (neg.f64 (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (/ (- 0 (* c (* a -4))) (- (neg b) (sqrt (+ (* c (* a -4)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
3 calls:
| 35.0ms | (/.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)) |
| 7.0ms | b |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 1 | c |
| 81.5% | 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)) |
| 81.5% | 1 | b |
Compiled 28 to 20 computations (28.6% saved)
Total -33.2b remaining (-142.1%)
Threshold costs -33.2b (-142.1%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
4 calls:
| 26.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 3.0ms | c |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 1 | a |
| 63.5% | 1 | b |
| 63.5% | 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)) |
| 63.5% | 1 | c |
Compiled 32 to 23 computations (28.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 212.25387424586225 | 224.7038909968863 |
| 1.0ms | 14× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 56 to 42 computations (25% saved)
adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 7.028027681805683 | 7.289631568974159 |
| 1.0ms | 16× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 56 to 42 computations (25% saved)
ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 166 |
| 1 | 83 | 166 |
| 2 | 103 | 166 |
| 3 | 121 | 166 |
| 4 | 133 | 166 |
| 5 | 139 | 166 |
| 6 | 142 | 166 |
| 7 | 143 | 166 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(if (<=.f64 b #s(literal 215 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (<=.f64 b #s(literal 8106479329266893/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| Outputs |
|---|
(/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 #s(approx (* (- 0 (* c (* a -4))) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) |
(if (<=.f64 b #s(literal 215 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (<=.f64 b #s(literal 8106479329266893/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (<=.f64 b #s(literal 8106479329266893/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) (-.f64 (/.f64 a b) (/.f64 b c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b))) |
| 11 458× | lower-fma.f64 |
| 11 458× | lower-fma.f32 |
| 10 150× | lower-fma.f64 |
| 10 150× | lower-fma.f32 |
| 8 560× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 477 |
| 0 | 130 | 436 |
| 1 | 515 | 411 |
| 2 | 4508 | 406 |
| 0 | 8898 | 403 |
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6083 | 3204 |
| 0 | 8243 | 3047 |
| 0 | 1628 | 17149 |
| 1 | 5495 | 16600 |
| 0 | 8245 | 16036 |
| 0 | 985 | 10713 |
| 1 | 3271 | 10284 |
| 0 | 8941 | 9895 |
| 0 | 75 | 627 |
| 0 | 131 | 541 |
| 1 | 524 | 455 |
| 2 | 4611 | 446 |
| 0 | 8665 | 441 |
| 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× | 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 673 to 288 computations (57.2% saved)
Compiled 226 to 108 computations (52.2% saved)
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