
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 23 to 17 computations (26.1% saved)
| 737.0ms | 8 256× | 0 | valid |
ival-div: 212.0ms (38.3% of total)ival-mult: 209.0ms (37.8% of total)ival-sub: 83.0ms (15% of total)ival-pi: 32.0ms (5.8% of total)exact: 7.0ms (1.3% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 8 062× | lower-fma.f64 |
| 8 062× | lower-fma.f32 |
| 4 668× | lower-*.f32 |
| 4 660× | lower-*.f64 |
| 2 098× | lower-neg.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 109 |
| 1 | 115 | 95 |
| 2 | 418 | 95 |
| 3 | 2087 | 95 |
| 4 | 6060 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 46 | 19 |
| 2 | 108 | 19 |
| 3 | 393 | 18 |
| 4 | 1569 | 17 |
| 5 | 4280 | 17 |
| 0 | 8405 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 5 | (-9.431581229420347e+157 -1.4780678545142668e-115) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 13 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 9 | 1 | (1.7668771040366704 1.7636338954574206e+161) | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) b) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | n*u | 26 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 13 | 0 |
| ↳ | (*.f64 b b) | overflow | 54 | |
| ↳ | (*.f64 a a) | overflow | 67 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 10 | 0 |
| ↳ | (*.f64 b b) | overflow | 54 | |
| ↳ | (*.f64 a a) | overflow | 67 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 108 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 46 | 11 |
| - | 3 | 196 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 46 | 0 | 11 |
| - | 3 | 0 | 196 |
| number | freq |
|---|---|
| 0 | 207 |
| 1 | 49 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 512× | 0 | valid |
Compiled 204 to 64 computations (68.6% saved)
ival-div: 16.0ms (44.9% of total)ival-mult: 12.0ms (33.7% of total)ival-sub: 4.0ms (11.2% of total)ival-pi: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.9% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 23 to 15 computations (34.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 8 062× | lower-fma.f64 |
| 8 062× | lower-fma.f32 |
| 4 668× | lower-*.f32 |
| 4 660× | lower-*.f64 |
| 2 098× | lower-neg.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 0 | 26 | 77 |
| 1 | 46 | 73 |
| 2 | 108 | 73 |
| 3 | 393 | 72 |
| 4 | 1569 | 71 |
| 5 | 4280 | 71 |
| 0 | 8405 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) (*.f64 (+.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (+.f64 b a) (-.f64 b a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | accuracy | 98.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | accuracy | 95.2% | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | accuracy | 90.1% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 27.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-div: 7.0ms (42.1% of total)ival-mult: 5.0ms (30.1% of total)ival-sub: 3.0ms (18.1% of total)ival-pi: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (PI.f64) #s(literal 2 binary64))> |
#<alt (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))> |
#<alt (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))> |
#<alt (-.f64 (*.f64 b b) (*.f64 a a))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))> |
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))> |
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (pow b 2)))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))> |
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))> |
#<alt (* -1/2 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))> |
#<alt (* -1 (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (- (pow b 2) (pow a 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (+ (* -1 (pow a 2)) (pow b 2))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* -1 (pow a 2))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))> |
#<alt (/ -1 (pow a 2))> |
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))> |
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))> |
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (/ -1 (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))> |
#<alt (/ -1 (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | b | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | b | @ | 0 | (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | a | @ | inf | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1.0ms | a | @ | 0 | (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) |
| 1× | batch-egg-rewrite |
| 6 700× | lower-*.f32 |
| 6 692× | lower-*.f64 |
| 4 958× | lower-fma.f64 |
| 4 958× | lower-fma.f32 |
| 2 990× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) a) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 b (*.f64 b (*.f64 a a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 b b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) |
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b (neg.f64 b) (*.f64 a a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a)) |
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(*.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 b b (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))) (*.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 5 734× | lower-*.f64 |
| 5 734× | lower-*.f32 |
| 2 064× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1696 |
| 1 | 768 | 1666 |
| 2 | 2295 | 1612 |
| 3 | 6383 | 1612 |
| 0 | 8341 | 1525 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1 (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(- (pow b 2) (pow a 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -1 (pow a 2)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (PI.f64) (*.f64 a a))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (PI.f64) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
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(/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 a (*.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a (*.f64 a a))) (/.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (neg.f64 a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
Compiled 22 370 to 2 044 computations (90.9% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 17 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 663 | 17 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) | |
| ▶ | 88.2% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| ▶ | 83.2% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
| 80.2% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) | |
| 87.8% | (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a)) | |
| 42.6% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) | |
| 55.2% | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) | |
| 51.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ▶ | 69.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 76.3% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a)) | |
| ▶ | 99.6% | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
| 90.1% | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 83.6% | (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| 88.2% | (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| 99.6% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 88.2% | (*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| ▶ | 83.2% | (*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
Compiled 674 to 410 computations (39.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 1344 | (*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a b)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ✓ | cost-diff | 0 | (-.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b a) (*.f64 b a)) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
| 5 366× | lower-*.f32 |
| 5 342× | lower-*.f64 |
| 4 530× | lower-fma.f64 |
| 4 530× | lower-fma.f32 |
| 3 582× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 286 |
| 0 | 51 | 284 |
| 1 | 129 | 284 |
| 2 | 526 | 240 |
| 3 | 2703 | 238 |
| 4 | 5929 | 238 |
| 0 | 8974 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 a (*.f64 a b)) |
a |
(*.f64 a b) |
b |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 b a) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 b a) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(PI.f64) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(-.f64 b a) |
b |
a |
(+.f64 b a) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
#s(literal 2 binary64) |
(*.f64 b a) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
b |
a |
(*.f64 b a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
a |
(*.f64 a b) |
(*.f64 b a) |
b |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 b a) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 b a) |
b |
a |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 b a) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(PI.f64) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(-.f64 b a) |
b |
a |
(+.f64 b a) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
(*.f64 b (*.f64 a #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(*.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| ✓ | accuracy | 98.0% | (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) |
| ✓ | accuracy | 57.1% | (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
| ✓ | accuracy | 98.0% | (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
| ✓ | accuracy | 85.8% | (*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 98.0% | (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
| ✓ | accuracy | 85.2% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a b)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
| ✓ | accuracy | 78.9% | (/.f64 (-.f64 b a) (*.f64 b a)) |
| 65.0ms | 256× | 0 | valid |
Compiled 288 to 30 computations (89.6% saved)
ival-mult: 27.0ms (61.8% of total)ival-div: 12.0ms (27.5% of total)ival-pi: 1.0ms (2.3% of total)ival-sub: 1.0ms (2.3% of total)ival-add: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))> |
#<alt (*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))> |
#<alt (/.f64 (-.f64 b a) (*.f64 b a))> |
#<alt (-.f64 b a)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))> |
#<alt (PI.f64)> |
#<alt (*.f64 a (*.f64 a b))> |
#<alt (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))> |
#<alt (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))> |
#<alt (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))> |
#<alt (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))> |
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))> |
#<alt (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 b a))> |
| Outputs |
|---|
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (/ 1 (* a b))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ -1 b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ (- (/ b a) 1) b)> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ (+ 1 (* -1 (/ a b))) a)> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (/ -1 b)> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (- (/ 1 a) (/ 1 b))> |
#<alt (* -1 a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt b> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt b> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt b> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* -1 a)> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1/2 (* a (PI)))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))> |
#<alt (* 1/2 (* b (PI)))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))> |
#<alt (* -1/2 (* a (PI)))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))> |
#<alt (* -1/2 (* a (PI)))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (PI) a)> |
#<alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))> |
#<alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))> |
#<alt (/ (PI) b)> |
#<alt (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)> |
#<alt (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)> |
#<alt (/ (PI) b)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))> |
#<alt (/ (PI) b)> |
#<alt (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))> |
#<alt (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))> |
#<alt (/ (PI) a)> |
#<alt (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)> |
#<alt (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)> |
#<alt (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)> |
#<alt (/ (PI) a)> |
#<alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* -1 (/ (PI) (pow a 2)))> |
#<alt (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))> |
#<alt (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))> |
#<alt (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))> |
#<alt (/ (PI) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))> |
#<alt (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))> |
#<alt (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))> |
#<alt (/ (PI) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))> |
#<alt (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))> |
#<alt (/ (PI) (pow b 2))> |
#<alt (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))> |
#<alt (* -1 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))> |
#<alt (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))> |
#<alt (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))> |
#<alt (* -1 (/ (PI) (pow a 2)))> |
#<alt (/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))> |
#<alt (/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))> |
#<alt (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))> |
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))> |
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))> |
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))> |
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))> |
#<alt (* -1 (* (pow a 3) b))> |
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))> |
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))> |
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))> |
#<alt (* a (pow b 3))> |
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))> |
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))> |
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))> |
#<alt (* a (pow b 3))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))> |
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))> |
#<alt (* a (pow b 3))> |
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))> |
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))> |
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))> |
#<alt (* -1 (* (pow a 3) b))> |
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))> |
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))> |
#<alt (* -1 (* (pow a 3) b))> |
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))> |
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))> |
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))> |
#<alt (/ -1 (* (pow a 3) b))> |
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)> |
#<alt (/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)> |
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)> |
#<alt (/ 1 (* a (pow b 3)))> |
#<alt (/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))> |
#<alt (/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))> |
#<alt (/ 1 (* a (pow b 3)))> |
#<alt (* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))> |
#<alt (* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))> |
#<alt (/ 1 (* a (pow b 3)))> |
#<alt (/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)> |
#<alt (/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)> |
#<alt (/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)> |
#<alt (/ -1 (* (pow a 3) b))> |
#<alt (/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))> |
#<alt (/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))> |
#<alt (/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))> |
#<alt (/ -1 (* (pow a 3) b))> |
#<alt (* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | 0 | (/ (* 1/2 (PI)) (* a (* a b))) |
| 3.0ms | b | @ | inf | (/ 1 (* (* b a) (* (- b a) (+ b a)))) |
| 1.0ms | b | @ | 0 | (/ (/ (- b a) (* b a)) (- b a)) |
| 1.0ms | a | @ | 0 | (* (/ (PI) (* (- b a) (+ b a))) (- b a)) |
| 1.0ms | a | @ | 0 | (/ (* 1/2 (PI)) (* a (* a b))) |
| 1× | batch-egg-rewrite |
| 5 522× | lower-/.f32 |
| 5 506× | lower-/.f64 |
| 4 036× | lower-*.f32 |
| 4 012× | lower-*.f64 |
| 1 378× | frac-2neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 185 |
| 0 | 51 | 183 |
| 1 | 215 | 153 |
| 2 | 2007 | 137 |
| 0 | 8504 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(/.f64 (-.f64 b a) (*.f64 b a)) |
(-.f64 b a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(*.f64 a (*.f64 a b)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 b (*.f64 a (-.f64 b a)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 a (-.f64 b a)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(-.f64 (/.f64 b (*.f64 b (*.f64 a (-.f64 b a)))) (/.f64 a (*.f64 b (*.f64 a (-.f64 b a))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 b) a)) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (*.f64 b (*.f64 a (-.f64 b a)))) (/.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (*.f64 b (*.f64 a (-.f64 b a))))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (*.f64 b (*.f64 a (-.f64 b a)))) (/.f64 (/.f64 (*.f64 a a) (+.f64 b a)) (*.f64 b (*.f64 a (-.f64 b a))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 a a) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 a (-.f64 b a))))) (/.f64 (-.f64 b a) (neg.f64 (*.f64 b (*.f64 a (-.f64 b a)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 b a))) (/.f64 (/.f64 a b) (*.f64 a (-.f64 b a)))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (-.f64 b a)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 a (-.f64 b a)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 b a)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) |
(/.f64 (-.f64 b a) (*.f64 b (*.f64 a (-.f64 b a)))) |
(/.f64 (-.f64 b a) (neg.f64 (neg.f64 (*.f64 b (*.f64 a (-.f64 b a)))))) |
(/.f64 (-.f64 b a) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a))) (+.f64 (neg.f64 b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 b a)) (/.f64 (-.f64 b a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (neg.f64 a)) (/.f64 (-.f64 b a) (+.f64 (neg.f64 b) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 (-.f64 b a) b) (-.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 b a) (-.f64 (neg.f64 a) b)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (-.f64 (neg.f64 a) b)))) |
(/.f64 (+.f64 (neg.f64 b) a) (neg.f64 (*.f64 b (*.f64 a (-.f64 b a))))) |
(/.f64 (+.f64 (neg.f64 b) a) (*.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b (neg.f64 a))) (+.f64 (neg.f64 b) a)) |
(/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (*.f64 (*.f64 b (*.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
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(*.f64 (PI.f64) (log.f64 (E.f64))) |
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(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (PI.f64))))) |
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(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (/.f64 (+.f64 b a) (PI.f64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 b a) (PI.f64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 a) b)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
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(*.f64 (pow.f64 (/.f64 b (*.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (*.f64 a (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (PI.f64)))) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
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(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b a)) |
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(*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) |
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(*.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 b a) (PI.f64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b a) (-.f64 (neg.f64 a) b)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
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(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (-.f64 b a)))) (+.f64 b a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (-.f64 b a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (-.f64 b a))))) (-.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) (+.f64 (neg.f64 b) a)) |
(pow.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (-.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (+.f64 b a)) (-.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 b (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (*.f64 b a) (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64))) |
(/.f64 (*.f64 b a) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 b (neg.f64 a)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 b (*.f64 a #s(literal 2 binary64))) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b a) #s(literal -2 binary64))) |
(*.f64 (*.f64 b (neg.f64 a)) #s(literal -2 binary64)) |
(*.f64 (*.f64 b #s(literal 2 binary64)) a) |
(*.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal -2 binary64) (*.f64 b (neg.f64 a))) |
(*.f64 (*.f64 #s(literal -2 binary64) b) (neg.f64 a)) |
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b)) a) |
| 1× | egg-herbie |
| 10 904× | lower-fma.f64 |
| 10 904× | lower-fma.f32 |
| 4 672× | lower-*.f64 |
| 4 672× | lower-*.f32 |
| 2 628× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 5673 |
| 1 | 2095 | 5174 |
| 2 | 7785 | 5157 |
| 0 | 8425 | 4943 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(/ 1 (* a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ -1 b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ (- (/ b a) 1) b) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(- (/ 1 a) (/ 1 b)) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1/2 (* a (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* 1/2 (* b (PI))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1/2 (* a (PI))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (PI) a) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(/ (PI) b) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/ (PI) b) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/ (PI) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/ (PI) a) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (/ (PI) (pow a 2))) |
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(/ (PI) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2)) |
(/ (PI) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (PI) (pow b 2)) |
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(* -1 (/ (PI) (pow a 2))) |
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(* -1 (/ (PI) (pow a 2))) |
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(* 1/2 (/ (PI) a)) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(* 1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* 1/2 (/ (PI) b)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* 1/2 (/ (PI) a)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (* (pow a 3) b)) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(* a (pow b 3)) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* a (pow b 3)) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* -1 (* (pow a 3) b)) |
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(/ -1 (* (pow a 3) b)) |
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b) |
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b) |
(/ 1 (* a (pow b 3))) |
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3)) |
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3)) |
(/ 1 (* a (pow b 3))) |
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3))) |
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3))) |
(/ 1 (* a (pow b 3))) |
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a) |
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a) |
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a) |
(/ -1 (* (pow a 3) b)) |
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3)) |
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)) |
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3)) |
(/ -1 (* (pow a 3) b)) |
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3))) |
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
| Outputs |
|---|
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(/ 1 (* a b)) |
(/.f64 #s(literal 1 binary64) (*.f64 a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b (*.f64 a a))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 b (fma.f64 (*.f64 b (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 a (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
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(fma.f64 a (fma.f64 a (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (/.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 b b))) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)))) a) |
(* 1/2 (/ (PI) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(/.f64 (fma.f64 b (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) a) (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64)))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (*.f64 (PI.f64) (*.f64 b b))) a) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) a)) a)) (neg.f64 a)) |
(* -1 (* (pow a 3) b)) |
(*.f64 (*.f64 a a) (*.f64 a (neg.f64 b))) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(*.f64 (*.f64 a a) (*.f64 a (neg.f64 b))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(*.f64 b (fma.f64 a (*.f64 b b) (neg.f64 (*.f64 a (*.f64 a a))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(*.f64 b (fma.f64 a (*.f64 b b) (neg.f64 (*.f64 a (*.f64 a a))))) |
(* a (pow b 3)) |
(*.f64 a (*.f64 b (*.f64 b b))) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(*.f64 (*.f64 b b) (*.f64 b (+.f64 a (/.f64 #s(literal 0 binary64) b)))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(*.f64 b (*.f64 (*.f64 b b) (-.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b))))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(*.f64 b (*.f64 (*.f64 b b) (-.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b))))) |
(* a (pow b 3)) |
(*.f64 a (*.f64 b (*.f64 b b))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (-.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b)))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(neg.f64 (*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (-.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b)))))) |
(* a (pow b 3)) |
(*.f64 a (*.f64 b (*.f64 b b))) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(fma.f64 a (*.f64 b (*.f64 b b)) #s(literal 0 binary64)) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(*.f64 a (fma.f64 a (*.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b)))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(*.f64 a (fma.f64 a (*.f64 a (neg.f64 b)) (*.f64 b (*.f64 b b)))) |
(* -1 (* (pow a 3) b)) |
(*.f64 (*.f64 a a) (*.f64 a (neg.f64 b))) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(*.f64 (*.f64 a a) (*.f64 a (-.f64 (/.f64 #s(literal 0 binary64) a) b))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) b))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) b))) |
(* -1 (* (pow a 3) b)) |
(*.f64 (*.f64 a a) (*.f64 a (neg.f64 b))) |
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (neg.f64 (+.f64 b (/.f64 #s(literal 0 binary64) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 b b) a) #s(literal 0 binary64)) a))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 b b) a) #s(literal 0 binary64)) a))) |
(/ -1 (* (pow a 3) b)) |
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 b (*.f64 a a)))) |
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) b) |
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b) |
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) b) |
(/ 1 (* a (pow b 3))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/ 1 (* a (pow b 3))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (*.f64 b b)))) |
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3))) |
(/.f64 (+.f64 (/.f64 a (*.f64 b (neg.f64 b))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3))) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3))) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (fma.f64 a (/.f64 (*.f64 a a) b) #s(literal 0 binary64))) (neg.f64 (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b b)))) (neg.f64 (*.f64 b (*.f64 b b)))) |
(/ 1 (* a (pow b 3))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a) |
(/.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) a) |
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a) |
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) a) |
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a) |
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) a) |
(/ -1 (* (pow a 3) b)) |
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 b (*.f64 a a)))) |
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (*.f64 a (neg.f64 a)))) (*.f64 a (*.f64 a a))) |
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a a)))) (*.f64 a (*.f64 a a))) |
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a a)))) (/.f64 (fma.f64 b (*.f64 b b) #s(literal 0 binary64)) (neg.f64 (pow.f64 a #s(literal 4 binary64))))) (*.f64 a (*.f64 a a))) |
(/ -1 (* (pow a 3) b)) |
(/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 b (*.f64 a a)))) |
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3))) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (*.f64 a (neg.f64 a)))) (*.f64 a (*.f64 a a))) |
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))) |
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a a)))) (*.f64 a (*.f64 a a))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a a))) (/.f64 (neg.f64 (/.f64 (fma.f64 b (*.f64 b b) #s(literal 0 binary64)) a)) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
Compiled 77 153 to 5 101 computations (93.4% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 204 | 17 | 3 221 |
| Fresh | 10 | 2 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 218 | 20 | 3 238 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.7% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| 93.6% | (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) a) b) | |
| ▶ | 99.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
| ▶ | 69.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
| 69.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) | |
| 54.5% | (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) | |
| 99.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) | |
| 69.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) | |
| 43.2% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 a (*.f64 b (*.f64 b b)))) | |
| 99.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) | |
| 62.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 51.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 69.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 69.4% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (/.f64 a (PI.f64)))) | |
| 83.6% | (*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| 99.7% | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) | |
| ▶ | 62.1% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 99.1% | (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) | |
| ▶ | 62.1% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
Compiled 501 to 352 computations (29.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 a a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
| 188× | lower-*.f32 |
| 176× | lower-*.f64 |
| 156× | lower-/.f32 |
| 140× | lower-/.f64 |
| 100× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 137 |
| 0 | 37 | 137 |
| 1 | 66 | 137 |
| 2 | 130 | 137 |
| 3 | 228 | 137 |
| 4 | 282 | 137 |
| 5 | 282 | 137 |
| 0 | 282 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 b a) |
b |
a |
(+.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 b a) |
b |
a |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
a |
b |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 b a) |
b |
a |
(+.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a a)) |
b |
(*.f64 a a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.f64 a a) |
a |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 b a) |
b |
a |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
a |
b |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
| ✓ | accuracy | 100.0% | (*.f64 b a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
| ✓ | accuracy | 99.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.0% | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | accuracy | 90.0% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
| ✓ | accuracy | 89.1% | (*.f64 b (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 b a) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
| ✓ | accuracy | 99.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
| 41.0ms | 256× | 0 | valid |
Compiled 139 to 22 computations (84.2% saved)
ival-div: 14.0ms (56.3% of total)ival-mult: 8.0ms (32.2% of total)ival-pi: 1.0ms (4% of total)ival-add: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a))> |
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a))> |
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))> |
#<alt (PI.f64)> |
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))> |
#<alt (*.f64 b (*.f64 a a))> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))> |
#<alt (/.f64 (PI.f64) (*.f64 a a))> |
#<alt (*.f64 a a)> |
#<alt (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a)> |
#<alt (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)> |
#<alt (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)> |
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)> |
#<alt (*.f64 b a)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (/ (PI) (pow a 2))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* 1/2 (/ (PI) a))> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | (/ 1/2 (* b (* a a))) |
| 1.0ms | b | @ | inf | (/ 1/2 (* b (* a a))) |
| 1.0ms | b | @ | 0 | (/ (* (PI) 1/2) (* b a)) |
| 0.0ms | a | @ | inf | (/ (* (PI) 1/2) (* b a)) |
| 0.0ms | a | @ | inf | (/ 1/2 (* b (* a a))) |
| 1× | batch-egg-rewrite |
| 4 998× | lower-*.f32 |
| 4 986× | lower-*.f64 |
| 4 600× | lower-/.f32 |
| 4 584× | lower-/.f64 |
| 1 422× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 93 |
| 0 | 37 | 93 |
| 1 | 150 | 93 |
| 2 | 1050 | 93 |
| 3 | 7631 | 93 |
| 0 | 8240 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
(*.f64 b (*.f64 a a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(*.f64 a a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(*.f64 b a) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(+.f64 (*.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 a) b)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(fma.f64 b (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 b b))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) b (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 a))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (*.f64 b a))) |
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (+.f64 b a)) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 b (*.f64 a (+.f64 b a)))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (neg.f64 a) b) (*.f64 b (neg.f64 a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b (+.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (neg.f64 (neg.f64 (*.f64 b (+.f64 b a))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 (-.f64 (neg.f64 a) b) (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (neg.f64 a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (*.f64 b (*.f64 a (+.f64 b a))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (neg.f64 (*.f64 b (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (+.f64 b a) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (*.f64 (-.f64 (neg.f64 a) b) (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b (+.f64 b a)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64)) (-.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 a (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (+.f64 b a) (neg.f64 a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (*.f64 (-.f64 (neg.f64 a) b) a)) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 a (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (+.f64 b a)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a)) (*.f64 b (neg.f64 a))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (+.f64 b a)) (neg.f64 b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (+.f64 b a)) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 b a))) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 b a))) (/.f64 b (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a))) (*.f64 b a)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (+.f64 b a))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) #s(literal 1 binary64)) (-.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (+.f64 b a))) b) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 b a))) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (+.f64 b a))) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (+.f64 b a))) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1 binary64)) (*.f64 a (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) b))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (fma.f64 a (+.f64 b a) (*.f64 b b)) (-.f64 b a))) (fma.f64 a (+.f64 b a) (*.f64 b b))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 a)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a)) #s(literal 1 binary64))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (neg.f64 a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (neg.f64 b)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
(/.f64 #s(literal -1 binary64) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (neg.f64 a)) |
(/.f64 (/.f64 (PI.f64) (neg.f64 a)) (*.f64 b #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (/.f64 b (PI.f64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64)) (*.f64 b #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 b a)) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) b) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) #s(literal -1 binary64)) a) |
(pow.f64 (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b (neg.f64 a)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(*.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) b) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a (*.f64 b #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 b #s(literal 2 binary64))) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (PI.f64))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) a) |
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a)) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) a) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) |
(neg.f64 (*.f64 b (neg.f64 a))) |
(/.f64 (*.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 b (neg.f64 a)) #s(literal -1 binary64)) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (*.f64 b a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b a)) |
(*.f64 (neg.f64 a) (neg.f64 b)) |
(*.f64 (neg.f64 b) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 a))) |
| 1× | egg-herbie |
| 23 062× | lower-fma.f64 |
| 23 062× | lower-fma.f32 |
| 6 346× | lower-*.f64 |
| 6 346× | lower-*.f32 |
| 2 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 2236 |
| 1 | 355 | 2228 |
| 2 | 956 | 2220 |
| 3 | 2105 | 2176 |
| 4 | 4061 | 2168 |
| 0 | 8183 | 2136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(/ (PI) (pow a 2)) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* 1/2 (/ (PI) a)) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) (*.f64 a a)) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) (*.f64 a a))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64))) (*.f64 a a))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 b b)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 a (*.f64 (*.f64 (PI.f64) a) (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 b b))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* 1/2 (/ (PI) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
Compiled 27 534 to 2 650 computations (90.4% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 170 | 7 | 2 177 |
| Fresh | 7 | 7 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 180 | 17 | 2 197 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.7% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| ▶ | 99.7% | (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
| 69.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) | |
| ▶ | 54.5% | (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| 69.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) | |
| 95.5% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) | |
| 91.9% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) | |
| 62.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 51.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 69.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 99.2% | (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) | |
| 69.4% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (/.f64 a (PI.f64)))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| ✓ | 62.1% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| ▶ | 91.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| ▶ | 69.4% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
Compiled 385 to 278 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b a) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b a)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 b a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 a (+.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 a (+.f64 b a))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 b a) a) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
| 320× | lower-*.f32 |
| 302× | lower-*.f64 |
| 294× | lower-/.f32 |
| 276× | lower-/.f64 |
| 224× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 155 |
| 0 | 44 | 155 |
| 1 | 83 | 155 |
| 2 | 199 | 155 |
| 3 | 374 | 155 |
| 4 | 477 | 155 |
| 5 | 518 | 155 |
| 0 | 518 | 155 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 b #s(literal 2 binary64)) |
b |
#s(literal 2 binary64) |
a |
(+.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) a) |
(*.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a (+.f64 b a))) |
b |
(*.f64 a (+.f64 b a)) |
a |
(+.f64 b a) |
(PI.f64) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
#s(literal 2 binary64) |
(*.f64 b a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
(/.f64 (PI.f64) (*.f64 b (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 b #s(literal 2 binary64)) |
b |
#s(literal 2 binary64) |
a |
(+.f64 b a) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) a) |
(*.f64 b (*.f64 a a)) |
(*.f64 b a) |
b |
a |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) |
#s(literal 1/2 binary64) |
(*.f64 b (*.f64 a (+.f64 b a))) |
b |
(*.f64 a (+.f64 b a)) |
a |
(+.f64 b a) |
(PI.f64) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b a)))) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
(*.f64 b (*.f64 #s(literal 2 binary64) a)) |
#s(literal 2 binary64) |
(*.f64 b a) |
a |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| ✓ | accuracy | 99.0% | (/.f64 (PI.f64) (*.f64 b a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) b) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) |
| ✓ | accuracy | 92.5% | (*.f64 b (*.f64 a (+.f64 b a))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 b a) a) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) |
| 49.0ms | 256× | 0 | valid |
Compiled 157 to 26 computations (83.4% saved)
ival-div: 13.0ms (46.6% of total)ival-mult: 12.0ms (43.1% of total)ival-pi: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a))> |
#<alt (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a)> |
#<alt (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))> |
#<alt (PI.f64)> |
#<alt (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))> |
#<alt (*.f64 (*.f64 b a) a)> |
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a))))> |
#<alt (*.f64 b (*.f64 a (+.f64 b a)))> |
#<alt (*.f64 a (+.f64 b a))> |
#<alt (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a)))> |
#<alt (/.f64 (PI.f64) b)> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 b a))> |
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))> |
#<alt (/.f64 (PI.f64) (*.f64 b a))> |
#<alt (*.f64 b a)> |
#<alt (/.f64 #s(literal 1/2 binary64) (+.f64 b a))> |
| Outputs |
|---|
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) (* a b)))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) b))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) b)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))> |
#<alt (/ 1/2 (* a (pow b 2)))> |
#<alt (/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ 1/2 (* (pow a 2) b))> |
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))> |
#<alt (* (pow a 2) b)> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* b (+ (* a b) (pow a 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* a (pow b 2))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* a (+ (* a b) (pow b 2)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) b)> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))> |
#<alt (* a b)> |
#<alt (* a (+ a b))> |
#<alt (* a (+ a b))> |
#<alt (* a (+ a b))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (* (pow a 2) (+ 1 (/ b a)))> |
#<alt (pow a 2)> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (+ (* a b) (pow a 2))> |
#<alt (* a b)> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* b (+ a (/ (pow a 2) b)))> |
#<alt (* a b)> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (/ (PI) b)> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 2 (* a b))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))> |
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))> |
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)> |
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))> |
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))> |
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (/ (PI) (* a b))> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (/ 1/2 a)> |
#<alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))> |
#<alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))> |
#<alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))> |
#<alt (/ 1/2 b)> |
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) b)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)> |
#<alt (/ 1/2 b)> |
#<alt (* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))> |
#<alt (/ 1/2 b)> |
#<alt (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))> |
#<alt (/ 1/2 a)> |
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)> |
#<alt (/ 1/2 a)> |
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (* (/ 1/2 (* b (* a (+ b a)))) (PI)) |
| 1.0ms | a | @ | inf | (/ 1/2 (* b (* a (+ b a)))) |
| 1.0ms | a | @ | 0 | (/ (/ (PI) b) (* 2 (* b a))) |
| 1.0ms | b | @ | 0 | (/ (/ (PI) b) (* 2 (* b a))) |
| 0.0ms | b | @ | -inf | (* b (* a (+ b a))) |
| 1× | batch-egg-rewrite |
| 4 408× | lower-*.f32 |
| 4 390× | lower-*.f64 |
| 4 148× | lower-/.f32 |
| 4 130× | lower-/.f64 |
| 1 482× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 118 |
| 0 | 44 | 118 |
| 1 | 169 | 118 |
| 2 | 1268 | 118 |
| 3 | 7472 | 118 |
| 0 | 8101 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) |
(/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
(*.f64 (*.f64 b a) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) |
(*.f64 b (*.f64 a (+.f64 b a))) |
(*.f64 a (+.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (PI.f64) b) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (PI.f64) (*.f64 b a)) |
(*.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) (*.f64 b b)) (*.f64 (/.f64 (PI.f64) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) (*.f64 a (-.f64 a b)))) |
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(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (neg.f64 b)) (PI.f64))) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 (PI.f64)))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) b) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a)) b) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) a)) (neg.f64 b)) |
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a)) b) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)) b) |
(pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (neg.f64 b)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (*.f64 a (neg.f64 b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) b) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) a) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b)) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b a)) (neg.f64 (PI.f64))) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (/.f64 b (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 b))) |
(neg.f64 (*.f64 a (neg.f64 b))) |
(/.f64 a (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 a (neg.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (*.f64 b a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b a)) |
(*.f64 (neg.f64 b) (neg.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 b)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 b))) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (neg.f64 b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (neg.f64 a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) |
(fma.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 (neg.f64 a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(fma.f64 (*.f64 a (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 a (-.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 b b))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 a))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 b) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) |
(*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (+.f64 (neg.f64 b) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 (neg.f64 b) a)) |
| 1× | egg-herbie |
| 11 394× | lower-fma.f64 |
| 11 394× | lower-fma.f32 |
| 5 246× | lower-*.f64 |
| 5 246× | lower-*.f32 |
| 3 150× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 3996 |
| 1 | 1062 | 3934 |
| 2 | 2789 | 3880 |
| 3 | 7251 | 3876 |
| 0 | 8342 | 3710 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) (* a b))) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ 1/2 (* (pow a 2) b)) |
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ 1/2 (* a (pow b 2))) |
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ 1/2 (* (pow a 2) b)) |
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2)) |
(/ 1/2 (* (pow a 2) b)) |
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(* (pow a 2) b) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* a b) |
(* a (+ a b)) |
(* a (+ a b)) |
(* a (+ a b)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(pow a 2) |
(+ (* a b) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* a b) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* a b) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(/ (PI) b) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 2 (* a b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(/ (PI) (* a b)) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1/2 a) |
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/ 1/2 b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/ 1/2 b) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/ 1/2 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/ 1/2 a) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 a (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 b (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (*.f64 b b)) (/.f64 (PI.f64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)))) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) b) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)) (*.f64 a a)) |
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(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) a) b) (*.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 a a)) b) (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))) b)) b)) (*.f64 b b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (*.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b b)))))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) b) a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 (*.f64 b b) a)))) a)) a)) (*.f64 a a)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(fma.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(fma.f64 b (fma.f64 b (*.f64 b (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b) #s(literal 1/2 binary64)) b) |
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (*.f64 a (/.f64 a b)) a)) b) a)) b)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 a (-.f64 (*.f64 a (/.f64 a b)) a)) b) a)) b)) b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(/.f64 (fma.f64 a (/.f64 #s(literal -1/2 binary64) b) #s(literal 1/2 binary64)) b) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) b)) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(fma.f64 a (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) a) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(/.f64 (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) #s(literal 1/2 binary64)) a) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) b) a) #s(literal 1/2 binary64)) a) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b (-.f64 (/.f64 (*.f64 b b) a) b)) a) b)) a)) a) |
Compiled 31 379 to 3 323 computations (89.4% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 109 | 8 | 2 117 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 116 | 18 | 2 134 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.7% | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
| 69.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) | |
| ✓ | 54.5% | (/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
| 54.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 b (PI.f64))) | |
| 54.5% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b) | |
| 69.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) | |
| 54.7% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) | |
| 62.1% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) | |
| 95.5% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) | |
| 51.0% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) | |
| ✓ | 69.4% | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) | |
| 69.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) | |
| 54.5% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) | |
| ✓ | 62.1% | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
| 54.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) | |
| ✓ | 91.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| ✓ | 69.4% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
Compiled 860 to 310 computations (64% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (/.f64 a (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) a) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a)) |
(*.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
3 calls:
| 16.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 15.0ms | b |
| 14.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)) (/.f64 a (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 b (PI.f64))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (*.f64 b (/.f64 a (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) a) b) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
3 calls:
| 11.0ms | a |
| 10.0ms | b |
| 8.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
3 calls:
| 21.0ms | a |
| 7.0ms | b |
| 6.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
3 calls:
| 7.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 7.0ms | a |
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | b |
| 99.6% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 99.6% | 1 | a |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (*.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 b (+.f64 b a))) (neg.f64 a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (*.f64 b a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
3 calls:
| 24.0ms | b |
| 6.0ms | a |
| 6.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a)))) |
3 calls:
| 26.0ms | a |
| 4.0ms | b |
| 3.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | a |
| 99.2% | 2 | b |
| 95.5% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
2 calls:
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | b |
| 99.2% | 2 | a |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64)) |
2 calls:
| 26.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | a |
| 98.0% | 2 | b |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a))) |
3 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 2 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 90.4% | 2 | b |
| 88.9% | 2 | a |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a a))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
3 calls:
| 19.0ms | a |
| 2.0ms | b |
| 1.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 69.4% | 1 | a |
| 69.4% | 1 | b |
Compiled 29 to 19 computations (34.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
3 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 1 | b |
| 62.1% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 62.1% | 1 | a |
Compiled 29 to 19 computations (34.5% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -1.7557443244590362e+152 | -1.1074110750780221e+151 |
| 28.0ms | 80× | 0 | valid |
Compiled 156 to 115 computations (26.3% saved)
ival-pi: 22.0ms (84.4% of total)ival-div: 2.0ms (7.7% of total)ival-mult: 2.0ms (7.7% of total)ival-sub: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 8.3200686836814e+81 | 9.780625750365198e+81 |
| 3.0ms | 32× | 0 | valid |
Compiled 78 to 58 computations (25.6% saved)
ival-div: 1.0ms (52% of total)ival-mult: 1.0ms (52% of total)ival-pi: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -2.1957715833266782e+117 | -5.10053948768205e+112 |
| 4.0ms | 48× | 0 | valid |
Compiled 104 to 77 computations (26% saved)
ival-div: 1.0ms (36.4% of total)ival-mult: 1.0ms (36.4% of total)ival-pi: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.2901997189408283e-97 | 1.1198296717314833e-95 |
| 23.0ms | 112× | 0 | valid |
Compiled 194 to 146 computations (24.7% saved)
ival-div: 17.0ms (82.9% of total)ival-mult: 2.0ms (9.8% of total)ival-sub: 1.0ms (4.9% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.2901997189408283e-97 | 1.1198296717314833e-95 |
Compiled 194 to 146 computations (24.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.2901997189408283e-97 | 1.1198296717314833e-95 |
Compiled 194 to 146 computations (24.7% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 211 |
| 1 | 77 | 211 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -140000000000000011126919225757763363117389151836330783751948926480617161056828786048828231760831504472408251998772386416167295045426557289910103235887104 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 b #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 a #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b a)) (+.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 a #s(literal -140000000000000011126919225757763363117389151836330783751948926480617161056828786048828231760831504472408251998772386416167295045426557289910103235887104 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 a #s(literal -140000000000000011126919225757763363117389151836330783751948926480617161056828786048828231760831504472408251998772386416167295045426557289910103235887104 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 a (+.f64 b a))))) |
(if (<=.f64 b #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (+.f64 b a)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 a #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))) |
(if (<=.f64 a #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a (+.f64 b a)))))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b a))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))) (PI.f64))) |
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 a a)))) |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 10 904× | lower-fma.f64 |
| 10 904× | lower-fma.f32 |
| 6 700× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 185 |
| 0 | 51 | 183 |
| 1 | 215 | 153 |
| 2 | 2007 | 137 |
| 0 | 8504 | 137 |
| 0 | 24 | 118 |
| 0 | 44 | 118 |
| 1 | 169 | 118 |
| 2 | 1268 | 118 |
| 3 | 7472 | 118 |
| 0 | 8101 | 118 |
| 0 | 291 | 1696 |
| 1 | 768 | 1666 |
| 2 | 2295 | 1612 |
| 3 | 6383 | 1612 |
| 0 | 8341 | 1525 |
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 0 | 678 | 5673 |
| 1 | 2095 | 5174 |
| 2 | 7785 | 5157 |
| 0 | 8425 | 4943 |
| 0 | 20 | 93 |
| 0 | 37 | 93 |
| 1 | 150 | 93 |
| 2 | 1050 | 93 |
| 3 | 7631 | 93 |
| 0 | 8240 | 93 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 580 to 317 computations (45.3% saved)
Compiled 524 to 178 computations (66% saved)
Loading profile data...