
Time bar (total: 7.4s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-div: 351.0ms (42.7% of total)ival-mult: 295.0ms (35.9% of total)ival-sub: 103.0ms (12.5% of total)ival-pi: 52.0ms (6.3% of total)exact: 9.0ms (1.1% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 47 | 0 | - | 7 | (-2.4102019071115236e+160 -2.9858289260009723e-121) | (*.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))) |
| 8 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 7 | 1 | (1.039453927407155e-55 3.5708077286213207e+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 | 40 | 0 |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 8 | 0 |
| ↳ | (*.f64 b b) | overflow | 63 | |
| ↳ | (*.f64 a a) | overflow | 58 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 113 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 8 | 0 |
| ↳ | (*.f64 b b) | overflow | 63 | |
| ↳ | (*.f64 a a) | overflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 54 | 11 |
| - | 2 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 54 | 0 | 11 |
| - | 2 | 0 | 189 |
| number | freq |
|---|---|
| 0 | 200 |
| 1 | 56 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 512× | 0 | valid |
Compiled 333 to 104 computations (68.8% saved)
ival-div: 32.0ms (61.8% of total)ival-mult: 12.0ms (23.2% of total)ival-sub: 5.0ms (9.7% of total)ival-pi: 2.0ms (3.9% of total)ival-true: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a))) |
(sort a b)
Compiled 21 to 15 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.5% | (*.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 21 to 15 computations (28.6% 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)) |
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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.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) (+.f64 a b)) (-.f64 b a)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(*.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) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1796875 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 0.8674771596983755 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 1.7968667433208234 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 10.331941389696338 | (*.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))) |
| 82.0ms | 256× | 0 | valid |
Compiled 156 to 32 computations (79.5% saved)
ival-div: 19.0ms (66.5% of total)ival-mult: 6.0ms (21% of total)ival-sub: 2.0ms (7% of total)ival-pi: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 |
|---|
(* 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 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)))))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (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))) |
(* 1/2 (/ (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))) |
(/ (+ (* -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 a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -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 (/ (+ (* -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 (/ (* 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) (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)))))))) |
(- (pow b 2) (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))) |
(/ (+ (* -1/2 (/ (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)) (* 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)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | ((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | inf | ((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | a | @ | inf | ((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | 0 | ((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | a | @ | -inf | ((/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1138 |
| 1 | 768 | 1118 |
| 2 | 2293 | 1080 |
| 3 | 6389 | 1080 |
| 0 | 8345 | 1013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 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)))))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (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))) |
(* 1/2 (/ (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))) |
(/ (+ (* -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 a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -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 (/ (+ (* -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 (/ (* 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) (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)))))))) |
(- (pow b 2) (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))) |
(/ (+ (* -1/2 (/ (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)) (* 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)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (/ (+ (* -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)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)) 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) 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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) a)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) |
(+ (* 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)))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(fma.f64 (neg.f64 a) a (*.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 (/.f64 (/.f64 a b) b) a #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 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.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 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #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 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a)) |
(* -1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) a)) |
(/ (+ (* -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)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))) a)) |
(* -1 (pow a 2)) |
(*.f64 (neg.f64 a) a) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 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 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) 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 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.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 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) 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 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b)) 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) 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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) b)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b) (PI.f64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.f64 (/.f64 (PI.f64) a) a))) |
(+ (* -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)))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b))) |
(- (pow b 2) (pow a 2)) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(- (* (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))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 8 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)) |
(/ (+ (* -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 (PI.f64) a) #s(literal 1/2 binary64))) (*.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 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) a (PI.f64)) b) b) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64))) |
(/ (+ (* 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)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #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 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (*.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 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b)) b)) (*.f64 b b)) |
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 |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 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 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.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 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.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 (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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.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 (PI.f64) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b) (/.f64 (-.f64 b a) a)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b)) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a) (/.f64 (-.f64 b a) b)) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))) |
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(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
Compiled 18 778 to 2 112 computations (88.8% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 23 | 631 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 609 | 23 | 632 |
| Status | Accuracy | Program |
|---|---|---|
| 85.7% | (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) | |
| 82.5% | (fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))) | |
| 42.8% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) | |
| 83.1% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| ▶ | 84.1% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
| 79.8% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| 78.0% | (/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b)) | |
| ▶ | 72.5% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
| 76.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 79.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) | |
| 87.0% | (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) | |
| ▶ | 87.1% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
| 87.0% | (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) | |
| 87.0% | (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 77.6% | (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 71.8% | (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b))) | |
| ▶ | 50.4% | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 42.3% | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 44.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) | |
| 49.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))) | |
| 42.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) | |
| 50.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| ▶ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
Compiled 1 158 to 788 computations (32% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) | |
| cost-diff | 256 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 832 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) a) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (*.f64 (PI.f64) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 64 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) | |
| cost-diff | 128 | (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 b a) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| cost-diff | 1088 | (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 343 |
| 0 | 87 | 341 |
| 1 | 169 | 335 |
| 2 | 530 | 335 |
| 3 | 2534 | 305 |
| 4 | 5828 | 305 |
| 0 | 8485 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(PI.f64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
b |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
a |
b |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
(*.f64 a b) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (PI.f64)) |
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) a) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) |
(*.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 b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(PI.f64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (PI.f64)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) |
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
b |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
a |
b |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
(*.f64 (/.f64 a (-.f64 b a)) b) |
(*.f64 a b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.29296875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 10.065744915559097 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) | |
| accuracy | 13.788166967129916 | (/.f64 (*.f64 a b) (-.f64 b a)) | |
| accuracy | 0.09765625 | (/.f64 (/.f64 (PI.f64) a) a) | |
| accuracy | 0.265625 | (/.f64 (PI.f64) a) | |
| accuracy | 10.331941389696338 | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| accuracy | 27.801085620040674 | #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) | |
| accuracy | 0.9999889904222409 | (fma.f64 (neg.f64 b) b (*.f64 a a)) | |
| accuracy | 2.1089494690883424 | (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) | |
| accuracy | 4.993042226883667 | (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) | |
| accuracy | 11.440360397544142 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) | |
| accuracy | 0.3511172491483563 | (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 9.160652680474866 | (*.f64 (*.f64 a a) b) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| accuracy | 0.296875 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) | |
| accuracy | 0.43417205111784407 | (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) | |
| accuracy | 7.584063901828274 | (/.f64 (/.f64 (-.f64 b a) a) b) |
| 92.0ms | 256× | 0 | valid |
Compiled 666 to 102 computations (84.7% saved)
ival-mult: 26.0ms (40.3% of total)ival-div: 25.0ms (38.8% of total)ival-sub: 7.0ms (10.9% of total)ival-add: 3.0ms (4.7% of total)ival-neg: 2.0ms (3.1% of total)ival-pi: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(PI.f64) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(+.f64 a b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(/.f64 (PI.f64) a) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
(/.f64 (PI.f64) (-.f64 b a)) |
| Outputs |
|---|
(/ 1 (* a b)) |
(* 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 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(* 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))) |
(/ (PI) (pow a 2)) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* 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))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(/ 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))) |
b |
(+ a 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)))))))) |
(* (pow a 2) b) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ (PI) a) |
a |
(* a (+ 1 (/ a b))) |
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2)))))) |
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) 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 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ (+ (* -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)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(/ 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) |
(* a (+ 1 (/ b a))) |
(* 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) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* -1 b) |
(+ (* -1 b) (* -1 (/ (pow b 2) a))) |
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a)) |
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2)))) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ (+ (* -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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2)) |
(* -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)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -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) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a))) |
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a))) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -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) |
(/ (- (/ b a) 1) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(+ (* -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 a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* 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))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) |
(+ (* -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 (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 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (- (* -1 (/ b a)) 1)) |
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1)) |
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1)) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 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)) |
(* b (- (/ 1 a) (/ 1 b))) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(/ (+ (* 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) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -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))) (* 1/2 (PI))))) (pow b 2)) |
(/ (+ 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) |
(* b (+ 1 (/ a 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) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(+ a (/ (pow a 2) b)) |
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b))) |
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2))))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (* b (- (/ 1 b) (/ 1 a)))) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(* -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 (* b (- (* -1 (/ a b)) 1))) |
(* -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 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) |
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | b | @ | inf | ((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) a) (/ (* a b) (- b a)) (/ (PI) (- b a))) |
| 11.0ms | b | @ | -inf | ((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) a) (/ (* a b) (- b a)) (/ (PI) (- b a))) |
| 8.0ms | a | @ | inf | ((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) a) (/ (* a b) (- b a)) (/ (PI) (- b a))) |
| 7.0ms | a | @ | 0 | ((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) a) (/ (* a b) (- b a)) (/ (PI) (- b a))) |
| 6.0ms | a | @ | -inf | ((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (neg (* 1/2 (* (PI) (- b a)))) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) a) (/ (* a b) (- b a)) (/ (PI) (- b a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 837 | 3522 |
| 1 | 2604 | 3194 |
| 0 | 8408 | 3007 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* a b)) |
(* 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 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(* 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))) |
(/ (PI) (pow a 2)) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* 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))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(/ 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))) |
b |
(+ a 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)))))))) |
(* (pow a 2) b) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ (PI) a) |
a |
(* a (+ 1 (/ a b))) |
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2)))))) |
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) 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 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ (+ (* -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)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(/ 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) |
(* a (+ 1 (/ b a))) |
(* 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) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* -1 b) |
(+ (* -1 b) (* -1 (/ (pow b 2) a))) |
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a)) |
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2)))) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/ (+ (* -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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2)) |
(* -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)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -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) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a))) |
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a))) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -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) |
(/ (- (/ b a) 1) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(+ (* -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 a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* 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))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) |
(+ (* -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 (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 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (- (* -1 (/ b a)) 1)) |
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1)) |
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1)) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 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)) |
(* b (- (/ 1 a) (/ 1 b))) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(/ (+ (* 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) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -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))) (* 1/2 (PI))))) (pow b 2)) |
(/ (+ 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) |
(* b (+ 1 (/ a 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) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(+ a (/ (pow a 2) b)) |
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b))) |
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2))))) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -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 (* b (- (/ 1 b) (/ 1 a)))) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(* -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 (* b (- (* -1 (/ a b)) 1))) |
(* -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 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) |
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
| Outputs |
|---|
(/ 1 (* a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) 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 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (* -1 a)) a) |
(/.f64 (-.f64 b a) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ (PI) (* (pow a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(* 1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) |
(* b (PI)) |
(*.f64 (PI.f64) b) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(+ (* 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)))))))) |
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 a a))) |
(* -1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)) |
(/ (PI) (pow a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* 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))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))))))) |
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) b) b)) a (neg.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a)) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (/.f64 a b) b) #s(literal -1/2 binary64) (/.f64 #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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) |
b |
(+ a b) |
(+.f64 a b) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* -1 (* a (pow b 2))) |
(*.f64 (*.f64 (neg.f64 a) b) b) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(* -1 (* a (pow b 3))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) a) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
a |
(* a (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) a a) |
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a b)) a a) |
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 a b) b)) a (/.f64 a b)) a a) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(fma.f64 (PI.f64) (/.f64 (/.f64 a b) b) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (fma.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 b a) a) (/.f64 (PI.f64) b)))) (*.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 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 b a) a) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
-1 |
#s(literal -1 binary64) |
(- (/ b a) 1) |
(-.f64 (/.f64 b a) #s(literal 1 binary64)) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64)))) |
(* -1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64)))) |
(* -1 (* a (PI))) |
(*.f64 (neg.f64 a) (PI.f64)) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(*.f64 (fma.f64 (PI.f64) (/.f64 b a) (neg.f64 (PI.f64))) a) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) (/.f64 (PI.f64) a) (PI.f64)) a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (*.f64 b (/.f64 b a)) (/.f64 (PI.f64) a) (PI.f64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 a a)) |
(/ (+ (* -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)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (*.f64 b (/.f64 b a)) (/.f64 (PI.f64) a) (PI.f64)) (fma.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))))) (*.f64 a a)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) (/.f64 (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a a)))) (*.f64 a a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) a) (PI.f64)) (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (fma.f64 #s(literal 0 binary64) (PI.f64) (*.f64 #s(literal 0 binary64) (PI.f64)))) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a a))))) (*.f64 a a)) |
(/ 1/2 a) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) b (/.f64 #s(literal -1 binary64) a)) b #s(literal -1 binary64)) b) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(neg.f64 (fma.f64 (PI.f64) (/.f64 (/.f64 b a) a) (/.f64 (PI.f64) a))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 a a)))) b (/.f64 (neg.f64 (PI.f64)) a)) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) b (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) b (/.f64 (neg.f64 (PI.f64)) a)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) 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) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 a b) b) (/.f64 (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) (+.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (/.f64 a b) b) (/.f64 (PI.f64) a)))) (*.f64 b b)) |
(* b (- (/ 1 a) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64)))) b) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (PI.f64) b) (PI.f64)) b)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (PI.f64) b) (PI.f64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)) |
(/ (+ (* 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)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (PI.f64) b) (PI.f64)) (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) b) b))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -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))) (* 1/2 (PI))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) b) (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (fma.f64 #s(literal 0 binary64) (PI.f64) (*.f64 #s(literal 0 binary64) (PI.f64)))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) b) b)))) (*.f64 b b)) |
(/ (+ 1/2 (* -1/2 (/ a b))) b) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #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 (fma.f64 (/.f64 a b) a (neg.f64 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 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64))) b)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (PI.f64) b) (PI.f64)))) 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) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (/.f64 (PI.f64) b) (PI.f64)))) b) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (*.f64 b b)) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) b) b) |
(+ a (/ (pow a 2) b)) |
(fma.f64 (/.f64 a b) a a) |
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 a b)) a a) |
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (fma.f64 (neg.f64 a) a (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 b))) b)) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/.f64 (fma.f64 (PI.f64) (/.f64 a b) (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (/.f64 (/.f64 a b) b) a) (*.f64 (PI.f64) (/.f64 a b))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64))) 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 (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64))) b) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.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) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (/.f64 a b) a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64)))) b) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64)))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64))) (neg.f64 b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64))) (neg.f64 b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (fma.f64 #s(literal 0 binary64) (PI.f64) (*.f64 #s(literal 0 binary64) (PI.f64)))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b)) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a b) a (neg.f64 a))) b) #s(literal 1/2 binary64)) (neg.f64 b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (/.f64 a b) a)) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64))) (neg.f64 b))) (neg.f64 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)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(*.f64 (-.f64 a (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) |
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) |
(-.f64 a (/.f64 (fma.f64 (neg.f64 a) a (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 b))) b)) |
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) |
(-.f64 a (/.f64 (fma.f64 (neg.f64 a) a (/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 a b) (PI.f64))) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (/.f64 a b) a) (*.f64 (PI.f64) a)) b) (PI.f64))) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (*.f64 (PI.f64) (/.f64 (pow.f64 a #s(literal 3 binary64)) b)))) b)) (neg.f64 b)) (PI.f64)) (neg.f64 b)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 284 |
| 0 | 87 | 276 |
| 1 | 345 | 276 |
| 2 | 3368 | 258 |
| 0 | 8342 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(PI.f64) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(+.f64 a b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(/.f64 (PI.f64) a) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
(/.f64 (PI.f64) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (neg.f64 (-.f64 b a)) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (/.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) |
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(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (*.f64 a b) #s(literal 2 binary64))) |
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(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) |
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(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (neg.f64 (-.f64 b a)) (neg.f64 (+.f64 a b)))) |
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(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))) |
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(*.f64 (pow.f64 (/.f64 b (neg.f64 (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 b (*.f64 a b)) (/.f64 a (*.f64 a b))) |
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (/.f64 (-.f64 b a) a))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (+.f64 a b) (neg.f64 a))) |
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(-.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 a b) a)) (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) a))) |
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(-.f64 (/.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (/.f64 (*.f64 a a) (*.f64 a (+.f64 a b)))) |
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(-.f64 (/.f64 b a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b a))) #s(literal -1 binary64))) |
(+.f64 (/.f64 b a) #s(literal -1 binary64)) |
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(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
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(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 a a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 a a) b) #s(literal -2 binary64))) |
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(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 a a) b) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (neg.f64 a) b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a (*.f64 (neg.f64 a) b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a a) b) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a a) b) #s(literal -2 binary64)))) |
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(*.f64 (pow.f64 (/.f64 a (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a 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 b (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a a) (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a a)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a a))) |
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(*.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) b) (PI.f64)) |
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(*.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (PI.f64) b)) |
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(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 a b))) |
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(*.f64 (/.f64 (PI.f64) a) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (PI.f64) (/.f64 (pow.f64 a #s(literal -2 binary64)) b)) |
(pow.f64 (*.f64 (/.f64 a (/.f64 (PI.f64) a)) b) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 a (/.f64 (PI.f64) a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) b) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 a a) b) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) b) (PI.f64))) |
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(*.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64))))) |
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(*.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) a) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a a))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (PI.f64) a) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (PI.f64) (pow.f64 a #s(literal -2 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 a (/.f64 (PI.f64) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) a) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 (PI.f64) a)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (neg.f64 a) a)) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) a) (neg.f64 a)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 a) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (PI.f64) a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (PI.f64)) (neg.f64 a))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 a (PI.f64))) |
(/.f64 (/.f64 (PI.f64) a) (neg.f64 (neg.f64 a))) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (PI.f64) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (PI.f64) a))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a)) |
(neg.f64 (/.f64 (/.f64 (PI.f64) a) (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (PI.f64) a) (neg.f64 a))) |
(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (PI.f64) a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (/.f64 (-.f64 b a) a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (/.f64 (-.f64 b a) a)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (/.f64 (-.f64 b a) a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (/.f64 (-.f64 b a) a)) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 b (/.f64 (-.f64 b a) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 a b)) |
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (neg.f64 a) b)) (neg.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) a) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 b (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (-.f64 b a)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 b (/.f64 (-.f64 b a) a)))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 b (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 b (/.f64 (-.f64 b a) a)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))) |
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 a b) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64)) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 b (/.f64 (-.f64 b a) a)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (/.f64 b (/.f64 (-.f64 b a) a))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 b a) (PI.f64)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 a b))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 a b)) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 b b))) (*.f64 (-.f64 a b) (-.f64 a b))) |
(/.f64 (fma.f64 (neg.f64 a) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 b))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 a) (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(/.f64 (fma.f64 (neg.f64 a) #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64)) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) b)) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (fma.f64 a #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 a (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 b) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 a))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1 binary64) (neg.f64 a)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) (neg.f64 a))) (*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -1 binary64)) a)) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal 1 binary64) (neg.f64 a))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (neg.f64 (-.f64 a b))) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
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(/.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (-.f64 a b)) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 (+.f64 a b) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) a b) |
(fma.f64 #s(literal 1 binary64) b a) |
(fma.f64 a #s(literal 1 binary64) b) |
(fma.f64 b #s(literal 1 binary64) a) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (-.f64 a b)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (-.f64 a b))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (-.f64 b a)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (-.f64 b a))) |
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(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 b a))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(+.f64 a b) |
(+.f64 b a) |
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) |
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(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
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(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
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(/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b)) |
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) |
(/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (+.f64 a b))) |
(neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 a b)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a b) a) |
(*.f64 (*.f64 a a) b) |
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(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 a (fma.f64 (neg.f64 b) b (*.f64 a a))) |
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(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 (*.f64 a (*.f64 (neg.f64 b) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (*.f64 a (*.f64 (neg.f64 b) b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b)))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 (*.f64 (neg.f64 b) b) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 a (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 (neg.f64 b) b))) |
(+.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
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(*.f64 (*.f64 b (fma.f64 (neg.f64 b) b (*.f64 a a))) a) |
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(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
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(*.f64 b (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b)) |
(fma.f64 a a (*.f64 (neg.f64 b) b)) |
(fma.f64 b (neg.f64 b) (*.f64 a a)) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)) |
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) a)) |
(*.f64 (PI.f64) (pow.f64 a #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (PI.f64))) |
(/.f64 (PI.f64) a) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (neg.f64 (PI.f64)) a)) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (PI.f64))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 b a) a) #s(literal 1 binary64)) #s(literal -1 binary64)) b) |
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(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 b (neg.f64 (-.f64 b a))) (neg.f64 a)) |
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(*.f64 (/.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 b a)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 b a)) a) #s(literal -1 binary64)) (neg.f64 b)) |
(*.f64 (/.f64 b (-.f64 b a)) a) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 a b)) |
(*.f64 (/.f64 a (-.f64 b a)) b) |
(*.f64 (*.f64 (neg.f64 a) b) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 a b) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 b a) a))) |
(*.f64 a (/.f64 b (-.f64 b a))) |
(*.f64 b (/.f64 a (-.f64 b a))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (-.f64 b a) a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (-.f64 b a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) b)) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (/.f64 b (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (/.f64 a (-.f64 b a)) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 a) b) (neg.f64 (-.f64 b a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b))) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
(/.f64 (neg.f64 b) (/.f64 (neg.f64 (-.f64 b a)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(/.f64 b (/.f64 (-.f64 b a) a)) |
(neg.f64 (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (-.f64 b a)) a)) (/.f64 b (/.f64 (neg.f64 (-.f64 b a)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (*.f64 (neg.f64 a) (/.f64 b (-.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (PI.f64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (PI.f64)) |
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (PI.f64))) |
(/.f64 (PI.f64) (-.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (-.f64 b a))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (-.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b a))) (/.f64 (PI.f64) (neg.f64 (-.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b a) (PI.f64))) #s(literal -1 binary64))) |
Compiled 43 274 to 5 673 computations (86.9% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 458 | 19 | 1 477 |
| Fresh | 15 | 3 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 477 | 23 | 1 500 |
| Status | Accuracy | Program |
|---|---|---|
| 87.1% | (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) | |
| ▶ | 99.3% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
| 79.8% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| ▶ | 99.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
| ▶ | 44.5% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
| 49.7% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) | |
| 99.6% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) | |
| 66.2% | (*.f64 (/.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| 99.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) | |
| 71.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b)) | |
| 99.6% | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| 58.8% | #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) | |
| 50.2% | #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| 44.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) | |
| 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) | |
| ▶ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
| 57.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b)) | |
| 42.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) | |
| 65.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) | |
| ✓ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) | |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) | |
| ▶ | 56.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
Compiled 1 187 to 820 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (PI.f64) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 1408 | (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 128 | (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a b)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 325 |
| 0 | 79 | 301 |
| 1 | 169 | 293 |
| 2 | 530 | 293 |
| 3 | 2603 | 277 |
| 4 | 5264 | 276 |
| 0 | 8227 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
(*.f64 a b) |
a |
b |
#s(literal 1 binary64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
b |
(*.f64 a a) |
a |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) |
(-.f64 b a) |
b |
a |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a b) (+.f64 a b)) |
(*.f64 a b) |
(+.f64 a b) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 a b) |
(*.f64 b a) |
a |
b |
#s(literal 1 binary64) |
(+.f64 a b) |
(+.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
b |
(*.f64 a a) |
a |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64) (/.f64 (PI.f64) a))) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (-.f64 b a) (PI.f64)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 b a)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(-.f64 b a) |
b |
a |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a b) (+.f64 a b)) |
(*.f64 (*.f64 (+.f64 b a) a) b) |
(*.f64 a b) |
(*.f64 b a) |
(+.f64 a b) |
(+.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 (*.f64 a b) (+.f64 a b)) | |
| accuracy | 0.29296875 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 0.32421875 | (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) | |
| accuracy | 0.37076235206108876 | (/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) | |
| accuracy | 2.1089494690883424 | (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) | |
| accuracy | 4.993042226883667 | (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) | |
| accuracy | 11.440360397544142 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) | |
| accuracy | 30.942538928484076 | #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.32421875 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) | |
| accuracy | 9.284148672990248 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) | |
| accuracy | 0.1640625 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) | |
| accuracy | 0.2843349016009965 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 9.160652680474866 | (*.f64 (*.f64 a a) b) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) | |
| accuracy | 0.1640625 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) | |
| accuracy | 0.6563820904293878 | (/.f64 (PI.f64) (*.f64 a b)) |
| 81.0ms | 256× | 0 | valid |
Compiled 612 to 96 computations (84.3% saved)
ival-mult: 30.0ms (50.1% of total)ival-div: 18.0ms (30.1% of total)ival-neg: 5.0ms (8.4% of total)ival-sub: 3.0ms (5% of total)ival-add: 2.0ms (3.3% of total)ival-pi: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) |
(-.f64 b a) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 (*.f64 a a) b) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(*.f64 (*.f64 a b) (+.f64 a b)) |
| Outputs |
|---|
(/ (PI) (* a b)) |
(* 1/2 (/ (PI) (* a b))) |
(* 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 (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(* 1/2 (PI)) |
b |
(+ b (* -1 a)) |
(* 1/2 (/ (PI) b)) |
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2)))) |
(+ (* 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 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(* (pow a 2) b) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(/ (+ (* -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 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(/ (+ (* -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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ 1 (* -1 (/ b 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 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -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 (* b (PI))) (* -1/2 (* a (PI)))) |
(- b a) |
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2)))) |
(+ (* -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 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))))) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (+ (* a b) (pow a 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)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(/ (+ (* -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 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (/ a b) 1))) |
(* -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 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | -inf | ((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) b) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (* (/ (PI) (- b a)) 1/2)) (- b a) (* (/ (PI) (- b a)) 1/2) (/ (PI) (- b a)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* (- b a) (* (/ (PI) (- b a)) 1/2)) (* (* a b) (+ a b))) (* (* a b) (+ a b))) |
| 4.0ms | a | @ | -inf | ((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) b) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (* (/ (PI) (- b a)) 1/2)) (- b a) (* (/ (PI) (- b a)) 1/2) (/ (PI) (- b a)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* (- b a) (* (/ (PI) (- b a)) 1/2)) (* (* a b) (+ a b))) (* (* a b) (+ a b))) |
| 4.0ms | b | @ | inf | ((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) b) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (* (/ (PI) (- b a)) 1/2)) (- b a) (* (/ (PI) (- b a)) 1/2) (/ (PI) (- b a)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* (- b a) (* (/ (PI) (- b a)) 1/2)) (* (* a b) (+ a b))) (* (* a b) (+ a b))) |
| 4.0ms | b | @ | 0 | ((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) b) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (* (/ (PI) (- b a)) 1/2)) (- b a) (* (/ (PI) (- b a)) 1/2) (/ (PI) (- b a)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* (- b a) (* (/ (PI) (- b a)) 1/2)) (* (* a b) (+ a b))) (* (* a b) (+ a b))) |
| 3.0ms | a | @ | inf | ((* (/ (PI) (* a b)) 1) (* 1/2 (* (/ (PI) (* a b)) 1)) (/ (PI) (* a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) b) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (* (/ (PI) (- b a)) 1/2)) (- b a) (* (/ (PI) (- b a)) 1/2) (/ (PI) (- b a)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* (- b a) (* (/ (PI) (- b a)) 1/2)) (* (* a b) (+ a b))) (* (* a b) (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 1746 |
| 1 | 1335 | 1670 |
| 2 | 4003 | 1554 |
| 0 | 8265 | 1479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (PI) (* a b)) |
(* 1/2 (/ (PI) (* a b))) |
(* 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 (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(* 1/2 (PI)) |
b |
(+ b (* -1 a)) |
(* 1/2 (/ (PI) b)) |
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2)))) |
(+ (* 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 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))))) |
(/ (PI) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(* (pow a 2) b) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(/ (+ (* -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 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a) |
(* -1 (/ (PI) a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(/ (+ (* -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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ 1 (* -1 (/ b 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 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -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 (* b (PI))) (* -1/2 (* a (PI)))) |
(- b a) |
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2)))) |
(+ (* -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 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))))) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (+ (* a b) (pow a 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)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(/ (+ (* -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 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (/ a b) 1))) |
(* -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 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
| Outputs |
|---|
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64))) 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 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a) a)) 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 (*.f64 a a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64)))) a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) |
(* 1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) |
(* b (PI)) |
(*.f64 (PI.f64) b) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* a (PI)) (pow b 2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 a b) a) (/.f64 (PI.f64) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 a (/.f64 a b) a) (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(* -1 (* a (pow b 2))) |
(*.f64 (*.f64 (neg.f64 b) a) b) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(* -1 (* a (pow b 3))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) a) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) b) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* a b) (pow b 2))) |
(*.f64 (*.f64 a (+.f64 a b)) b) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #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 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64))))) (*.f64 a a)) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1 (* a (PI))) |
(*.f64 (neg.f64 (PI.f64)) a) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(* -1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* b (PI)) a))) a) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (PI.f64))) a) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3)))))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 b b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)))) a) |
(* -1 (/ (PI) a)) |
(/.f64 (neg.f64 (PI.f64)) a) |
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a) |
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a))) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (PI.f64)) (neg.f64 a)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)) (PI.f64)))) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (*.f64 a a)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) b) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(*.f64 (-.f64 b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 b (/.f64 b a) b) a) a) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 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) b) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 b (/.f64 b a))) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) a))) (neg.f64 a))) (*.f64 a a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (PI.f64)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* -1/2 (/ (* (pow b 2) (PI)) a))) a)) (* 1/2 (PI))) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (PI.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (PI.f64) b (/.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 (PI.f64) a) b (PI.f64))) a)))) (neg.f64 a))) (neg.f64 a)) |
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) |
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a))) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 b (/.f64 b a) b) (PI.f64)) (neg.f64 a)) |
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) b (/.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 (PI.f64) a) b (PI.f64))) a))) a) (PI.f64)) a) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(*.f64 (-.f64 b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) (pow.f64 a #s(literal 3 binary64))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64))) 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 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b) b)) 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 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)))) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) |
(- b a) |
(-.f64 b a) |
(+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (* b (PI)) (pow a 2)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (PI.f64) a) b (PI.f64))) |
(+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (PI)) (pow a 3)))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))) |
(+ (* -1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (PI)) (pow a 4)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (/.f64 (PI.f64) a) a))) b (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) |
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2)))) |
(*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a))) |
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (/.f64 (PI.f64) a) a))) b (/.f64 (neg.f64 (PI.f64)) a)) |
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))))) |
(fma.f64 (neg.f64 (*.f64 b (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))))) b (*.f64 (/.f64 (PI.f64) a) (-.f64 #s(literal -1 binary64) (/.f64 b a)))) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) b) |
(* b (+ (* a b) (pow a 2))) |
(*.f64 (*.f64 a (+.f64 a 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) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) a (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) a) b)))) (*.f64 b b)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b) |
(* b (+ 1 (* -1 (/ a b)))) |
(fma.f64 (/.f64 (neg.f64 a) b) b b) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 a b) a) (PI.f64))) b) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* a (PI)) b)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 3) (PI)) (pow b 3)))))) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64)))) b) |
(/ (+ (PI) (/ (* a (PI)) b)) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 a b) a) (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/.f64 (fma.f64 a (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (PI.f64))) b) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (*.f64 b b)) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(*.f64 (*.f64 (fma.f64 a (/.f64 a b) a) 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) a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (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 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 a (/.f64 a b))) #s(literal 1/2 binary64))) b)) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b) |
(* -1 (* b (- (/ a b) 1))) |
(fma.f64 (/.f64 (neg.f64 a) b) b b) |
(* -1 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* a (PI)) b))) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a)) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 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)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (*.f64 (*.f64 a (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a))) #s(literal 1/2 binary64)) b)) (neg.f64 b))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a)) b) (PI.f64)) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 a (*.f64 (PI.f64) (fma.f64 a (/.f64 a b) a))) b)) b) (PI.f64)) b) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 278 |
| 0 | 79 | 266 |
| 1 | 319 | 262 |
| 2 | 2691 | 262 |
| 0 | 8369 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) |
(-.f64 b a) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 (*.f64 a a) b) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(*.f64 (*.f64 a b) (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 b (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (PI.f64) b) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 (PI.f64) a) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (PI.f64)) |
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (PI.f64) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (PI.f64) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) |
(pow.f64 (/.f64 b (/.f64 (PI.f64) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) a))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 b) a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) b) |
(/.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (neg.f64 b) a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 b) a)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 b) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (PI.f64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b a) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
(/.f64 (PI.f64) (*.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 b a))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) a)) (/.f64 (PI.f64) (*.f64 (neg.f64 b) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b a) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))) |
(*.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)) |
(pow.f64 (*.f64 (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 a (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (-.f64 b a))) |
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(pow.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
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(/.f64 (PI.f64) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
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(pow.f64 (/.f64 (-.f64 b a) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a))))) |
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(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a))) |
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(/.f64 (PI.f64) (-.f64 b a)) |
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(pow.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))) (neg.f64 (neg.f64 (+.f64 b a)))) |
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(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (*.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 b a) a) |
(*.f64 b (*.f64 a a)) |
(*.f64 a (*.f64 b a)) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a)) (/.f64 (*.f64 (neg.f64 (-.f64 b a)) (PI.f64)) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (neg.f64 (-.f64 b a)) (PI.f64)) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (pow.f64 (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) (*.f64 (neg.f64 (-.f64 b a)) (PI.f64))) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 b (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a)))) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.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 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (*.f64 (+.f64 b a) a) b))) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (+.f64 b a) (*.f64 (*.f64 (+.f64 b a) a) b))) |
(/.f64 (*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) a)) (+.f64 b a)) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (PI.f64)) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (PI.f64)) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a)))))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (+.f64 b a) a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (+.f64 b a) a) b))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)))) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal -1 binary64) b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b))) (/.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (neg.f64 a) (*.f64 (+.f64 b a) b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (+.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (-.f64 b a))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) |
(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(literal -1 binary64) b))) |
(*.f64 (*.f64 (+.f64 b a) a) b) |
(*.f64 (*.f64 (+.f64 b a) b) a) |
(*.f64 (+.f64 b a) (*.f64 b a)) |
(*.f64 (*.f64 b a) (+.f64 b a)) |
(*.f64 b (*.f64 a (+.f64 b a))) |
(*.f64 a (*.f64 (+.f64 b a) b)) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 a a) b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 b a))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b a))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b a) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 b a)) (-.f64 a b)) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b a)) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 b a) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 a b)) |
(/.f64 (*.f64 (*.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))) |
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))))) |
(fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) |
(fma.f64 (*.f64 b b) a (*.f64 (*.f64 a a) b)) |
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 a a) b)) |
(fma.f64 (*.f64 b a) a (*.f64 (*.f64 b b) a)) |
(fma.f64 b (*.f64 a a) (*.f64 (*.f64 b b) a)) |
(fma.f64 b (*.f64 b a) (*.f64 (*.f64 a a) b)) |
(fma.f64 a (*.f64 b b) (*.f64 (*.f64 a a) b)) |
(fma.f64 a (*.f64 b a) (*.f64 (*.f64 b b) a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)))) |
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 a a) b)) |
(+.f64 (*.f64 (*.f64 a a) b) (*.f64 (*.f64 b b) a)) |
Compiled 36 907 to 4 516 computations (87.8% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 202 | 13 | 1 215 |
| Fresh | 10 | 7 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 217 | 21 | 1 238 |
| Status | Accuracy | Program |
|---|---|---|
| 87.1% | (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) | |
| 99.6% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) | |
| ▶ | 99.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
| 44.5% | (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 b a))) | |
| 99.4% | (/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) | |
| ▶ | 48.8% | (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
| 91.7% | (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)) | |
| 99.6% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) | |
| 99.6% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| 99.6% | (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| 50.2% | #s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| ▶ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
| 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) | |
| 42.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) | |
| 57.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) | |
| 65.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) | |
| ✓ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))) | |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) | |
| ▶ | 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
| ▶ | 65.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
Compiled 1 033 to 730 computations (29.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) | |
| cost-diff | 768 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b 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 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) | |
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | (/.f64 (*.f64 b a) (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 315 |
| 0 | 76 | 313 |
| 1 | 146 | 303 |
| 2 | 328 | 303 |
| 3 | 923 | 300 |
| 4 | 2858 | 297 |
| 5 | 5801 | 297 |
| 0 | 8766 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 b a) (PI.f64)) |
(*.f64 b a) |
b |
a |
(PI.f64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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 |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) |
(PI.f64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 b a) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
b |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
#s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(*.f64 (PI.f64) b) |
(PI.f64) |
b |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
a |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 b a) (PI.f64)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
(PI.f64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 b a) a) |
(*.f64 (*.f64 a a) b) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(PI.f64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 b a) |
(*.f64 a b) |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
b |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(/.f64 (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b)) (*.f64 a b)) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))) |
#s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) |
#s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b)) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) |
(*.f64 (PI.f64) b) |
(PI.f64) |
b |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(*.f64 (neg.f64 b) b) |
(neg.f64 b) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.993042226883667 | (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) | |
| accuracy | 11.440360397544142 | (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) | |
| accuracy | 30.942538928484076 | #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) | |
| accuracy | 33.96552654193914 | #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.5596050275405348 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) | |
| accuracy | 9.229370032184123 | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.1640625 | (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 b a) a) | |
| accuracy | 0.1640625 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))) | |
| accuracy | 0.2843349016009965 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) | |
| accuracy | 21.90458059722914 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.1640625 | (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) | |
| accuracy | 0.2578125 | (/.f64 (*.f64 b a) (PI.f64)) | |
| accuracy | 0.5330033309406634 | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
| 100.0ms | 256× | 0 | valid |
Compiled 570 to 98 computations (82.8% saved)
ival-div: 31.0ms (38.9% of total)ival-mult: 23.0ms (28.8% of total)ival-sub: 19.0ms (23.8% of total)ival-add: 3.0ms (3.8% of total)ival-neg: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
(/.f64 (*.f64 b a) (PI.f64)) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(*.f64 (PI.f64) b) |
(*.f64 (*.f64 b a) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
| Outputs |
|---|
(* 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) (* a b))) |
(/ (* a b) (PI)) |
(* a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (pow a 2))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(/ (+ (* -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 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(/ (+ (* -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 (* b (PI))) (* -1/2 (* a (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(/ (+ (* -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)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (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 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | inf | ((/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (/ 1/2 (/ (* b a) (PI))) (/ (* b a) (PI)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (/ (/ 1/2 a) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* b a))) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* (* (PI) b) -1/2) (* (PI) b) (* (* b a) a) (/ (* (PI) 1/2) (* a a)) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a)) |
| 6.0ms | a | @ | 0 | ((/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (/ 1/2 (/ (* b a) (PI))) (/ (* b a) (PI)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (/ (/ 1/2 a) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* b a))) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* (* (PI) b) -1/2) (* (PI) b) (* (* b a) a) (/ (* (PI) 1/2) (* a a)) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a)) |
| 4.0ms | b | @ | -inf | ((/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (/ 1/2 (/ (* b a) (PI))) (/ (* b a) (PI)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (/ (/ 1/2 a) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* b a))) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* (* (PI) b) -1/2) (* (PI) b) (* (* b a) a) (/ (* (PI) 1/2) (* a a)) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a)) |
| 3.0ms | a | @ | -inf | ((/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (/ 1/2 (/ (* b a) (PI))) (/ (* b a) (PI)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (/ (/ 1/2 a) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* b a))) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* (* (PI) b) -1/2) (* (PI) b) (* (* b a) a) (/ (* (PI) 1/2) (* a a)) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a)) |
| 3.0ms | a | @ | inf | ((/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (/ 1/2 (/ (* b a) (PI))) (/ (* b a) (PI)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (PI) (/ 1/2 (* (* b a) a)) (/ (/ 1/2 a) (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* b a))) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* (* (PI) b) -1/2) (* (PI) b) (* (* b a) a) (/ (* (PI) 1/2) (* a a)) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 658 |
| 1 | 496 | 639 |
| 2 | 1420 | 610 |
| 3 | 4654 | 583 |
| 0 | 8375 | 556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) (* a b))) |
(/ (* a b) (PI)) |
(* a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* (pow a 2) b) |
(* 1/2 (/ (PI) (pow a 2))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(/ (+ (* -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 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (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 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(/ (+ (* -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 (* b (PI))) (* -1/2 (* a (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(/ (+ (* -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)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (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 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) 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 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (PI.f64) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64)))))) 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 (*.f64 a a) (*.f64 (PI.f64) (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) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a) |
(* 1/2 (/ (PI) (* a b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) |
(/ (* a b) (PI)) |
(/.f64 (*.f64 a b) (PI.f64)) |
(* a b) |
(*.f64 a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) #s(literal 1/2 binary64)) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* 1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64)) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(* -1 (* a (pow b 2))) |
(*.f64 (*.f64 (neg.f64 b) a) b) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.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 (/.f64 (PI.f64) a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 a a)) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(/ (+ (* -1 (/ (+ (* -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) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.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 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 b (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) a)) a)) (*.f64 a a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) a) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) 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 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) 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 (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 5 binary64))) b (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) |
(* b (PI)) |
(*.f64 (PI.f64) b) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(/ (+ (* -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 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.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 a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))) (*.f64 b b)) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) b) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(/ (+ (* -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 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.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 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 a (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) b)) b)) (*.f64 b b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 258 |
| 0 | 76 | 250 |
| 1 | 301 | 247 |
| 2 | 2420 | 247 |
| 0 | 8524 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) |
(/.f64 (*.f64 b a) (PI.f64)) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) 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)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(*.f64 (PI.f64) b) |
(*.f64 (*.f64 b a) a) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 a b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a b) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) (fma.f64 (neg.f64 b) b (*.f64 a a))) (-.f64 a b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (*.f64 (PI.f64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a b) (PI.f64)))) |
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(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
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(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) #s(literal -2 binary64)) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64))) (PI.f64)) |
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(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) |
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(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) |
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(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64)))) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a))) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal -2 binary64)))) #s(literal -2 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (PI.f64) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) a) |
(/.f64 (neg.f64 (pow.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 a)) |
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(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) a) |
(/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 a (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 a a) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) a)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 a) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64))) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal -2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) |
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(neg.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1/2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal -1/2 binary64) a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64))) (PI.f64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) |
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(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b)) (*.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 a b) #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 a b) #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b)))) |
(neg.f64 (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 a) b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 a) b))) (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 a) b)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (/.f64 (*.f64 a b) #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)))))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) |
(*.f64 a #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))) |
Compiled 20 473 to 2 354 computations (88.5% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 5 | 689 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 691 | 19 | 710 |
| Status | Accuracy | Program |
|---|---|---|
| 87.1% | (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))) | |
| 99.6% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) | |
| 99.4% | (/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) | |
| 48.8% | (/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b))) | |
| 91.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) (/.f64 a (PI.f64)))) | |
| 91.7% | (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)) | |
| 99.6% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) | |
| 99.5% | (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b))) | |
| 99.6% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| 50.2% | #s(approx (/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| ✓ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
| 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) | |
| 57.8% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) | |
| 65.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) | |
| ✓ | 56.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) | |
| 65.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a))) | |
| ✓ | 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
| ✓ | 65.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
Compiled 1 949 to 607 computations (68.9% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) (/.f64 a (PI.f64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b)) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b))) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (PI.f64))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 b a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b a) (PI.f64))) (+.f64 a b)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a))) |
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) b) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(*.f64 (/.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b)) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (*.f64 a b)) |
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (*.f64 (/.f64 (+.f64 a b) (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 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))) |
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
3 calls:
| 48.0ms | (*.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))) |
| 17.0ms | b |
| 15.0ms | 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 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) (/.f64 a (PI.f64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b)) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b))) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) (*.f64 a b))) |
(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
3 calls:
| 16.0ms | b |
| 7.0ms | 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 |
|---|---|---|
| 99.6% | 1 | a |
| 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))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a a)) b)) |
| Outputs |
|---|
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
3 calls:
| 26.0ms | a |
| 5.0ms | b |
| 5.0ms | (*.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 |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 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))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ 1/2 (/ (* b a) (PI))) (+ a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
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 |
|---|---|---|
| 83.5% | 2 | a |
| 85.7% | 2 | b |
| 67.4% | 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))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
3 calls:
| 5.0ms | (*.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))) |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 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))) |
| 65.3% | 1 | a |
| 65.3% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.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 |
|---|---|---|
| 65.3% | 1 | b |
| 65.3% | 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))) |
| 65.3% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
3 calls:
| 1.0ms | a |
| 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))) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 1 | b |
| 56.6% | 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))) |
| 56.6% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.9972187102791866e-15 | 1.2299319718818343e-14 |
| 11.0ms | 96× | 0 | valid |
Compiled 396 to 296 computations (25.3% saved)
ival-div: 3.0ms (48.2% of total)ival-mult: 2.0ms (32.1% of total)ival-sub: 1.0ms (16.1% 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 204 |
| 1 | 77 | 204 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(if (<=.f64 b #s(literal 5831192761049855/633825300114114700748351602688 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #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 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) (*.f64 b a))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 a b) (+.f64 a b))) |
(/.f64 #s(approx (* (- b a) (* (/ (PI) (- b a)) 1/2)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 b a) (*.f64 b a))) |
(if (<=.f64 b #s(literal 5831192761049855/633825300114114700748351602688 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 b #s(literal 5831192761049855/633825300114114700748351602688 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 0 | 291 | 1138 |
| 1 | 768 | 1118 |
| 2 | 2293 | 1080 |
| 3 | 6389 | 1080 |
| 0 | 8345 | 1013 |
| 0 | 53 | 284 |
| 0 | 87 | 276 |
| 1 | 345 | 276 |
| 2 | 3368 | 258 |
| 0 | 8342 | 258 |
| 0 | 434 | 1746 |
| 1 | 1335 | 1670 |
| 2 | 4003 | 1554 |
| 0 | 8265 | 1479 |
| 0 | 50 | 278 |
| 0 | 79 | 266 |
| 1 | 319 | 262 |
| 2 | 2691 | 262 |
| 0 | 8369 | 262 |
| 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 |
Compiled 570 to 311 computations (45.4% saved)
(sort a b)
Compiled 604 to 262 computations (56.6% saved)
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