
Time bar (total: 8.0s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-div: 241.0ms (39.9% of total)ival-mult: 224.0ms (37.1% of total)ival-sub: 88.0ms (14.6% of total)ival-pi: 32.0ms (5.3% of total)exact: 9.0ms (1.5% of total)ival-true: 6.0ms (1% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 2 | (3.24919203422839e-103 2.5660966513087417e+161) | (*.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))) |
| 20 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 2 | 2 | (1.5902695183561038e+161 -1.369928468288484e+148) | 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 | 33 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 20 | 0 |
| ↳ | (*.f64 b b) | overflow | 60 | |
| ↳ | (*.f64 a a) | overflow | 70 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 60 | |
| ↳ | (*.f64 a a) | overflow | 70 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 110 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 55 | 9 |
| - | 2 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 55 | 0 | 9 |
| - | 2 | 0 | 190 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 108.0ms | 512× | 0 | valid |
Compiled 256 to 64 computations (75% saved)
ival-sub: 25.0ms (46.8% of total)ival-div: 14.0ms (26.2% of total)ival-mult: 11.0ms (20.6% of total)ival-pi: 2.0ms (3.7% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% 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 | 2111 | 95 |
| 4 | 6535 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 46 | 19 |
| 2 | 108 | 19 |
| 3 | 393 | 18 |
| 4 | 1560 | 17 |
| 5 | 4253 | 17 |
| 0 | 8317 | 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 |
|---|---|---|
| ▶ | 75.3% | (*.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 | 1560 | 71 |
| 5 | 4253 | 71 |
| 0 | 8317 | 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 | 0.19140625 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 0.2947396744490203 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 4.390608486641647 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 7.818662447051713 | (*.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))) |
| 47.0ms | 256× | 0 | valid |
Compiled 156 to 32 computations (79.5% saved)
ival-div: 19.0ms (54.8% of total)ival-mult: 12.0ms (34.6% of total)ival-sub: 2.0ms (5.8% of total)ival-pi: 1.0ms (2.9% 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 | |
|---|---|---|---|---|
| 5.0ms | 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 | 6393 | 1080 |
| 0 | 8215 | 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 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.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 | 1127 | 49 |
| 0 | 9242 | 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 (/.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))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 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)))))) |
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(+.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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 18 | 631 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 614 | 18 | 632 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.0% | (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))) |
| 88.7% | (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))))) | |
| 46.5% | (/.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))))) (/.f64 (+.f64 a b) (*.f64 a b))) | |
| 87.4% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| ▶ | 87.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
| 82.3% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| 83.1% | (/.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)) | |
| 73.9% | (/.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)) | |
| ▶ | 82.2% | (/.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))))) |
| 87.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))))) | |
| 85.8% | (*.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)))) | |
| 85.9% | (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 46.5% | (*.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))) | |
| 76.3% | (*.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))) | |
| ▶ | 48.1% | #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))) |
| 51.8% | #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))) | |
| 57.2% | #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))) | |
| ▶ | 54.6% | #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 892 to 596 computations (33.2% 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 | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 1408 | (/.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 a b) | |
| cost-diff | 0 | (*.f64 (+.f64 a b) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) | |
| cost-diff | 0 | #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))) | |
| 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 (PI.f64) (+.f64 a b)) | |
| cost-diff | 128 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) | |
| cost-diff | 1984 | (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))) | |
| cost-diff | 6080 | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 380 |
| 0 | 83 | 382 |
| 1 | 174 | 374 |
| 2 | 567 | 361 |
| 3 | 2852 | 337 |
| 4 | 6180 | 331 |
| 0 | 8586 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 a b) |
a |
b |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(pow.f64 a #s(literal -1 binary64)) |
#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 (/.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 (PI.f64) (-.f64 b a)) |
(neg.f64 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) |
#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 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(PI.f64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(*.f64 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))))) |
#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 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(+.f64 a b) |
a |
b |
(-.f64 b a) |
(*.f64 a b) |
(*.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 (*.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 |
|---|
(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 (/.f64 (/.f64 (PI.f64) (-.f64 a b)) (+.f64 b a)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (PI.f64) (+.f64 a b)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(pow.f64 a #s(literal -1 binary64)) |
#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 (/.f64 #s(literal -1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(/.f64 (PI.f64) (-.f64 b a)) |
(neg.f64 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) |
#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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) |
(PI.f64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(*.f64 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 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) a) (PI.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 (/.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (PI.f64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) b) a) (-.f64 b a)) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(-.f64 b a) |
(*.f64 a b) |
(*.f64 b a) |
(*.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 (*.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 1/2 binary64) (+.f64 b a)) b) a) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 a b) |
(+.f64 b a) |
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) |
(*.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 0.20703125 | (/.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 7.781221187283272 | (/.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 | 14.194042502755789 | (/.f64 (*.f64 a b) (-.f64 b a)) | |
| accuracy | 0.25390625 | (*.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 0.6714718388294759 | (/.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))))) | |
| accuracy | 1.254299830813001 | (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) | |
| accuracy | 9.697543246883136 | (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| accuracy | 0.02734375 | (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) | |
| accuracy | 0.37337875976844204 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 2.6755337429140273 | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) | |
| accuracy | 30.611887585321846 | #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))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) | |
| accuracy | 0.49366229550678675 | (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 6.475752749962393 | (*.f64 (*.f64 a a) b) | |
| accuracy | 26.614613903819876 | #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 (PI.f64) (-.f64 b a)) | |
| accuracy | 0.285820019536884 | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) | |
| accuracy | 2.6397137233771435 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) | |
| accuracy | 2.7421771791510294 | (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))) |
| 88.0ms | 256× | 0 | valid |
Compiled 739 to 102 computations (86.2% saved)
ival-div: 24.0ms (39.4% of total)ival-mult: 22.0ms (36.1% of total)ival-pow: 5.0ms (8.2% of total)ival-add: 3.0ms (4.9% of total)ival-sub: 3.0ms (4.9% of total)ival-pi: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% 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 b a)) (pow.f64 a #s(literal -1 binary64))) |
(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 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) |
(/.f64 (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) |
#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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.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 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(+.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))) |
(*.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 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 a a) 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(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 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
| Outputs |
|---|
(/ 1/2 (* a b)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5)))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5)))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))) |
(/ (PI) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(/ (+ (* -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))) |
(/ (PI) (* (pow a 2) b)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ -1/2 a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(pow b 2) |
(+ (* a (+ b (* -1 b))) (pow b 2)) |
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) |
b |
(+ a b) |
(* 1/2 (/ (PI) (pow b 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))) |
(+ (/ (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) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
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))))) |
(/ -1/2 (pow a 2)) |
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/ (+ (* -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) b)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (+ 1 (/ b a))) |
(* -1/2 (/ (PI) (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) |
(* -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 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -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 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -1 (/ (+ (* -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 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1)) |
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -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 (/ (+ (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 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(+ (* -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))) |
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (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))))))))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b) |
(/ (+ (* 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)))))) b) |
(/ (+ (* 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))))))))) b) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(/ (+ (* -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)) a)) (* 1/2 (PI))) b) |
(/ (+ 1/2 (* -1/2 (/ b a))) b) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))) |
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))) |
(+ (* -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 (/ (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))))) |
(* 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)) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b) |
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (+ (* 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)))))) (pow b 3)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/ (+ (* -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)) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) |
(* b (+ 1 (/ a b))) |
(/ (+ (* -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) |
(/ (+ (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) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(+ 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))))) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3))) |
(* -1 (/ (+ (* -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 3))) |
(* -1 (/ (+ (* -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 3))) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/ (+ (* -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 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -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 (/ (+ (* -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 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(+ 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | b | @ | inf | ((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a))) |
| 12.0ms | a | @ | 0 | ((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a))) |
| 9.0ms | b | @ | 0 | ((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a))) |
| 8.0ms | a | @ | inf | ((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a))) |
| 6.0ms | b | @ | -inf | ((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (PI) (- b a)) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1160 | 5555 |
| 1 | 3689 | 4742 |
| 0 | 9049 | 4474 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (* a b)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5)))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5)))))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))) |
(/ (PI) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(/ (+ (* -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))) |
(/ (PI) (* (pow a 2) b)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ -1/2 a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(pow b 2) |
(+ (* a (+ b (* -1 b))) (pow b 2)) |
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) |
b |
(+ a b) |
(* 1/2 (/ (PI) (pow b 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))) |
(+ (/ (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) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
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))))) |
(/ -1/2 (pow a 2)) |
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2)) |
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/ (+ (* -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) b)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1)) |
(* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (+ 1 (/ b a))) |
(* -1/2 (/ (PI) (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) |
(* -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 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -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 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2)) |
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(/ (+ (* -1 (/ (+ (* -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 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1)) |
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -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 (/ (+ (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 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(+ (* -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))) |
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (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))))))))))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b) |
(/ (+ (* 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)))))) b) |
(/ (+ (* 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))))))))) b) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(/ (+ (* -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)) a)) (* 1/2 (PI))) b) |
(/ (+ 1/2 (* -1/2 (/ b a))) b) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a)))) |
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a))))) |
(+ (* -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 (/ (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))))) |
(* 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)) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b) |
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3)) |
(/ (+ (* -1/2 (PI)) (+ (* 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)))))) (pow b 3)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/ (+ (* -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)) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))))) |
(* b (+ 1 (/ a b))) |
(/ (+ (* -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) |
(/ (+ (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) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(+ 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))))) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b)) |
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3))) |
(* -1 (/ (+ (* -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 3))) |
(* -1 (/ (+ (* -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 3))) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/ (+ (* -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 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -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 (/ (+ (* -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 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(+ 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))) |
| Outputs |
|---|
(/ 1/2 (* a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b) |
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a) |
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a) |
(/.f64 (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)) a) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 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 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.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))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -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 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1/2 binary64))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))))) a)) a)) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) a))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (PI.f64) b) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (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 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.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 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 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) |
(/ (+ (* 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 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 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) |
(* 1/2 (/ (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 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ (- (* 1/2 (/ a b)) 1/2) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) a) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64)) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 b b) (PI.f64)))) a) |
(* a (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) a) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) a #s(literal 0 binary64)) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 b) a) a (pow.f64 b #s(literal 3 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* a (+ b (* -1 b))) (pow b 2)) |
(*.f64 b b) |
(+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2)) |
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a)) a (*.f64 b b)) |
b |
(+ a b) |
(+.f64 a b) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 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 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b b)) (/.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 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.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 #s(literal -1/2 binary64) (/.f64 a (pow.f64 b #s(literal 4 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)) |
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2))) |
(fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b)) |
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(* -1 (pow a 2)) |
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(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.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 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) b) (neg.f64 b)) a) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) #s(literal 0 binary64)) b)) (*.f64 b 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) (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 (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (*.f64 a a) (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 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) (neg.f64 b)) #s(literal -1 binary64) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 b)) #s(literal -1 binary64) #s(literal 1/2 binary64)) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b)) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.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 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b)) (PI.f64)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b)) |
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b))) |
(-.f64 a (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) b) (*.f64 a a)) b)) |
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b))) |
(-.f64 a (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b)) (*.f64 a a)) b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 287 |
| 0 | 83 | 301 |
| 1 | 376 | 231 |
| 2 | 3796 | 231 |
| 0 | 8288 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
(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 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) |
(/.f64 (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) |
#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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.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 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(+.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))) |
(*.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 (PI.f64) (-.f64 b a)) |
(*.f64 (*.f64 a a) 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(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 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 a b) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.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 #s(literal 1/2 binary64) a) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 b a) a) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) #s(literal 1 binary64)) a) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b a)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (-.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 (-.f64 b a)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) (-.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) a)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 b a) (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (neg.f64 a))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 (-.f64 b a)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 b a)) (neg.f64 a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.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 (/.f64 b (-.f64 b a)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (PI.f64) (-.f64 b a))) #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 a b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 a b) #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 (*.f64 (*.f64 (-.f64 b a) b) a) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 b a) b) a) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.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))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (-.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 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal -1 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 a b)) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (*.f64 (neg.f64 a) b)) (neg.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 b a)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 b a) b) a)) #s(literal 1/2 binary64)) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (-.f64 b a) b)) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b)) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.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 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 b (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a))) (*.f64 (neg.f64 a) (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) b) (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (neg.f64 a))) |
(+.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b))) |
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 b) (*.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 (neg.f64 b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (/.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b)) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 #s(literal -1 binary64) b)) |
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(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 #s(literal -1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b))) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal -1 binary64)) b) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (+.f64 a b)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b))) (neg.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b))) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b))) (+.f64 a b)) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (neg.f64 (+.f64 a b)) (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (neg.f64 b) (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) b) |
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))) |
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(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 (-.f64 b a)))) (/.f64 (*.f64 a b) (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 (-.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))) (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.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))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) b) a) |
(*.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (-.f64 b a)) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) (+.f64 a b)) |
(*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) b) |
(*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (+.f64 a b) (*.f64 (*.f64 (-.f64 b a) b) a)) |
(*.f64 (-.f64 b a) (*.f64 (+.f64 a b) (*.f64 a b))) |
(*.f64 a (*.f64 b (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 b (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (-.f64 b a) b) a)) (-.f64 a b)) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 b a) b) a)) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (*.f64 a b) (-.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 a b) (-.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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 a a (*.f64 b b))) |
(/.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)))) |
(fma.f64 (*.f64 a b) (*.f64 b b) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))) |
(fma.f64 (*.f64 b b) (*.f64 a b) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))) |
(+.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))) |
(+.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 a a (*.f64 b b)) #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 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(*.f64 (-.f64 b a) (/.f64 (+.f64 a b) #s(literal 1 binary64))) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(pow.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (-.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)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.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 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 a b)) (+.f64 a b)) |
(/.f64 (*.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 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 a b))) (-.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 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 a a (*.f64 b b)))) |
(/.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 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (-.f64 a b) (fma.f64 a (+.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (-.f64 a b) (+.f64 a b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (fma.f64 a (+.f64 a b) (*.f64 b b)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 a b) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))) |
(/.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 #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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))))) |
(/.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 (neg.f64 (-.f64 b a)) (+.f64 a b)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 b b)) (-.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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (neg.f64 a) a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (neg.f64 a) a)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a)) |
(fma.f64 (+.f64 a b) b (*.f64 (+.f64 a b) (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a a) (*.f64 b b)) |
(fma.f64 (-.f64 b a) a (*.f64 (-.f64 b a) b)) |
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(fma.f64 a (-.f64 b a) (*.f64 b (-.f64 b a))) |
(fma.f64 b (+.f64 a b) (*.f64 (neg.f64 a) (+.f64 a b))) |
(fma.f64 b (-.f64 b a) (*.f64 a (-.f64 b a))) |
(fma.f64 b b (*.f64 (neg.f64 a) a)) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 #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 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (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 (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)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (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 b b) #s(literal 1 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 b (+.f64 a b)) (*.f64 (neg.f64 a) (+.f64 a b))) |
(+.f64 (*.f64 (-.f64 b a) b) (*.f64 (-.f64 b a) a)) |
(+.f64 (*.f64 a (-.f64 b a)) (*.f64 b (-.f64 b a))) |
(+.f64 (*.f64 (-.f64 b a) a) (*.f64 (-.f64 b a) b)) |
(+.f64 (*.f64 (+.f64 a b) b) (*.f64 (+.f64 a b) (neg.f64 a))) |
(+.f64 (*.f64 b (-.f64 b a)) (*.f64 a (-.f64 b a))) |
(+.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) |
(*.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))) (pow.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)) |
(/.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 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b)))) |
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(fma.f64 #s(literal 1 binary64) a b) |
(fma.f64 #s(literal 1 binary64) b a) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal -1 binary64) (neg.f64 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 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))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 b a)) (/.f64 (/.f64 (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 b a))) |
(-.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 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(+.f64 a b) |
(+.f64 b a) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.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 (/.f64 b (-.f64 b a)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 b (-.f64 b a)) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 (PI.f64) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 (PI.f64) (-.f64 b a))) #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 a b) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 a (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 a a) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a a) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) #s(literal 1 binary64)) (*.f64 a a)) |
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(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a)) a) |
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(-.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b))) |
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(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) b) (*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a)) (neg.f64 a))) |
(+.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b))) |
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (neg.f64 b)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a))) |
(*.f64 (*.f64 (-.f64 b a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (-.f64 b a) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (-.f64 b a))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (-.f64 b a) (PI.f64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (PI.f64)) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (PI.f64)) (+.f64 a b)) |
(/.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)) |
(fma.f64 (PI.f64) b (*.f64 (PI.f64) (neg.f64 a))) |
(fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64))) |
(+.f64 (*.f64 b (PI.f64)) (*.f64 (neg.f64 a) (PI.f64))) |
(+.f64 (*.f64 (PI.f64) b) (*.f64 (PI.f64) (neg.f64 a))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 (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)) #s(literal -1 binary64))) |
(*.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 (*.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 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a 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 (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 (/.f64 b (-.f64 b a)) a)) |
(*.f64 a (/.f64 b (-.f64 b a))) |
(*.f64 b (*.f64 a (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.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 (/.f64 b (-.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 (neg.f64 a) b) (neg.f64 (-.f64 b a))) |
(/.f64 (*.f64 a b) (-.f64 b 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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b a) a) b))) |
(neg.f64 (*.f64 (neg.f64 a) (/.f64 b (-.f64 b 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))) |
Compiled 55 415 to 5 807 computations (89.5% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 679 | 12 | 1 691 |
| Fresh | 11 | 2 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 694 | 15 | 1 709 |
| Status | Accuracy | Program |
|---|---|---|
| 90.3% | (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) b) | |
| 82.3% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| 78.5% | (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64)))) | |
| ▶ | 99.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
| ▶ | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
| 57.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64)))) | |
| 92.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 a a) (PI.f64)))) b))) | |
| 85.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b)) | |
| 57.2% | #s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| ▶ | 51.8% | #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))) |
| 54.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) | |
| 58.3% | #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))) | |
| ✓ | 54.6% | #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))) |
| ▶ | 58.5% | #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)))) |
| ▶ | 54.6% | #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 787 to 540 computations (31.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.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 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 a b) | |
| cost-diff | 0 | (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 384 | (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) | |
| 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 | 44 | 282 |
| 0 | 67 | 274 |
| 1 | 146 | 268 |
| 2 | 384 | 268 |
| 3 | 1243 | 265 |
| 4 | 3338 | 262 |
| 5 | 5525 | 262 |
| 0 | 8139 | 262 |
| 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 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
#s(literal 1/2 binary64) |
(*.f64 a b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) |
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 a b) |
a |
b |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.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) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(PI.f64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 b 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 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) b) (PI.f64)) |
(*.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 (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 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b a)) |
#s(literal 1/2 binary64) |
(*.f64 a b) |
(*.f64 b a) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) b) (PI.f64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) |
(*.f64 (*.f64 (/.f64 (+.f64 b a) #s(literal 1/2 binary64)) b) (/.f64 a (PI.f64))) |
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) b) |
(*.f64 a b) |
(*.f64 b a) |
a |
b |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.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 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) |
(PI.f64) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 b b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.37337875976844204 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 5.431315130074392 | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) | |
| accuracy | 25.392516497113867 | #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))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) | |
| accuracy | 0.23828125 | (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| accuracy | 0.6714718388294759 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) | |
| accuracy | 0.19435502930532603 | (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) | |
| accuracy | 0.2265625 | (/.f64 (PI.f64) a) | |
| accuracy | 0.5806217118744395 | (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) | |
| accuracy | 26.614613903819876 | #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)))) | |
| accuracy | 0.178066259768442 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) | |
| accuracy | 0.44169748199529496 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 6.475752749962393 | (*.f64 (*.f64 a a) b) | |
| accuracy | 26.614613903819876 | #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 | 0.0 | (PI.f64) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) | |
| accuracy | 0.6286802753859418 | (/.f64 (PI.f64) (*.f64 a b)) |
| 269.0ms | 256× | 0 | valid |
Compiled 532 to 85 computations (84% saved)
ival-mult: 187.0ms (83.9% of total)ival-div: 20.0ms (9% of total)ival-add: 12.0ms (5.4% of total)ival-sub: 2.0ms (0.9% of total)ival-pi: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (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 a b)))) |
(/.f64 (PI.f64) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 a b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#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))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.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) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b 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)) |
(/ (PI) a) |
(* 2 (/ (* a b) (PI))) |
(* a b) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(* (pow a 2) b) |
(/ 1/2 (* a b)) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(/ (+ (* -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) b)) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 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)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 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)) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(/ (+ (* -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 | |
|---|---|---|---|---|
| 37.0ms | 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) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b 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) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b))) |
| 4.0ms | a | @ | 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) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b 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) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b 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) a) (/ 1/2 (* a b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (/ (* a b) (* (PI) 1/2)) (* a b) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (+ (/ 1/2 a) (/ -1/2 b)) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a a) b) (/ 1/2 (* a b)) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 693 |
| 1 | 505 | 685 |
| 2 | 1344 | 651 |
| 3 | 3114 | 609 |
| 4 | 5755 | 607 |
| 0 | 8347 | 572 |
| 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)) |
(/ (PI) a) |
(* 2 (/ (* a b) (PI))) |
(* a b) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(* (pow a 2) b) |
(/ 1/2 (* a b)) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(/ (+ (* -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) b)) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(/ -1/2 b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 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)) (* 1/2 (/ (* b (PI)) a))) b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 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)) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(/ (+ (* -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 |
|---|
(/ (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)) (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 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) |
(/ (+ (* 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) (* (pow a 2) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) a) #s(literal 1/2 binary64)) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* 2 (/ (* a b) (PI))) |
(*.f64 (/.f64 (*.f64 b a) (PI.f64)) #s(literal 2 binary64)) |
(* a b) |
(*.f64 b a) |
(* 1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a) |
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1/2 (/ a b))) a) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(/ 1/2 (* a b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b a)) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) 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 (/.f64 (/.f64 b a) a) (*.f64 (PI.f64) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))) (*.f64 a a)) |
(* -1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
(- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) #s(literal 2 binary64)) (fma.f64 (/.f64 b a) b b)) a) |
(* -1/2 (/ (PI) (pow b 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) |
(/ (+ (* -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 #s(literal -1/2 binary64) a) b #s(literal 1/2 binary64)))) a)) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 (PI.f64) b) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.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) (fma.f64 (/.f64 b (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))))) b) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal 1/2 binary64)))) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b) |
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) b) |
(/ (- (* 1/2 (/ b a)) 1/2) b) |
(-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) b) a #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 (PI.f64) b) (-.f64 (*.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(*.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) #s(literal 2 binary64)) |
(/ (+ (* -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 #s(literal 1/2 binary64) b) a #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 (/.f64 a b) (*.f64 (PI.f64) (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 236 |
| 0 | 67 | 226 |
| 1 | 302 | 222 |
| 2 | 2675 | 222 |
| 0 | 8796 | 222 |
| 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 (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 a b)))) |
(/.f64 (PI.f64) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
(/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 a b) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#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))) |
(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(/.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) |
(/.f64 #s(literal 1/2 binary64) (*.f64 a b)) |
(*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b 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 (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 (/.f64 (PI.f64) b) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (neg.f64 a) b) #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 (/.f64 (PI.f64) a) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (PI.f64) a)) |
(*.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 b (/.f64 a (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a (PI.f64)) b) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 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 (neg.f64 (/.f64 (PI.f64) a))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 a) b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (PI.f64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (/.f64 a (PI.f64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 b (/.f64 a (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (PI.f64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 a (PI.f64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 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 a) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 a (PI.f64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b a) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (PI.f64) a)) |
(*.f64 (pow.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 a) b) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) |
(*.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 b a)) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) a) (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (*.f64 a (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) #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 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))) |
(pow.f64 (/.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (neg.f64 b)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 b a) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) |
(/.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b a) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b #s(literal 2 binary64))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 a (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (+.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) |
(fma.f64 (*.f64 a (/.f64 a (PI.f64))) (*.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 b (*.f64 b a)) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 b (/.f64 a (PI.f64))) (*.f64 b #s(literal 2 binary64)) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (/.f64 a (PI.f64)) (*.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (/.f64 a (PI.f64)) (*.f64 (*.f64 b #s(literal 2 binary64)) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) b (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) a (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 a a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 b a) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 b a) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 (*.f64 b a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 b (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 a (*.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))) b) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(fma.f64 a (*.f64 (/.f64 b (PI.f64)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 b a) a) (*.f64 b (/.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal -1 binary64)))) |
(+.f64 (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(+.f64 (/.f64 b (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64))) (/.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) b)) |
(*.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (pow.f64 b #s(literal -2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (PI.f64) (pow.f64 b #s(literal -2 binary64)))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 b #s(literal -2 binary64)))) |
(pow.f64 (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal 1 binary64))) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) b) |
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (*.f64 (neg.f64 b) b))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)) b) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 b b) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))) #s(literal -1 binary64))) |
Compiled 32 682 to 4 185 computations (87.2% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 096 | 14 | 1 110 |
| Fresh | 8 | 1 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 108 | 17 | 1 125 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
| 99.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) | |
| 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b))) | |
| ▶ | 57.1% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
| 91.4% | (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 (+.f64 b a) b)) #s(literal 1/2 binary64)) | |
| ▶ | 99.7% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| 57.2% | #s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| 58.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))) | |
| 54.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)) | |
| 57.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) | |
| ▶ | 58.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
| 57.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) | |
| ▶ | 65.5% | #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))) |
| ✓ | 54.6% | #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))) |
| 58.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) | |
| ✓ | 54.6% | #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 798 to 580 computations (27.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 b b) (PI.f64)) | |
| cost-diff | 0 | #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) | |
| cost-diff | 384 | (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) | |
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b a)) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 b a)) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 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 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 255 |
| 0 | 67 | 255 |
| 1 | 142 | 251 |
| 2 | 379 | 251 |
| 3 | 1060 | 249 |
| 4 | 3109 | 247 |
| 5 | 5376 | 247 |
| 0 | 8502 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
a |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) |
(PI.f64) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 b a) |
b |
a |
#s(literal 2 binary64) |
#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))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 b a) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(/.f64 (PI.f64) (*.f64 b a)) |
(PI.f64) |
(*.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
#s(literal 1 binary64) |
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 b b) (PI.f64)) |
(*.f64 b b) |
b |
(PI.f64) |
#s(literal 2 binary64) |
a |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) a) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
b |
a |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a)) |
(PI.f64) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 (*.f64 a b) #s(literal 2 binary64)) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
#s(literal 2 binary64) |
#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 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) |
(/.f64 (PI.f64) (*.f64 b a)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) a) (PI.f64)) |
(/.f64 (PI.f64) (*.f64 b a)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
(*.f64 b a) |
(*.f64 a b) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 a b)) |
#s(literal 1/2 binary64) |
(+.f64 b a) |
(+.f64 a b) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b))) |
#s(literal 1 binary64) |
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) |
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b)) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b) |
(*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 b #s(literal 1/2 binary64)) (PI.f64)) b) |
(/.f64 (*.f64 b b) (PI.f64)) |
(*.f64 b b) |
b |
(PI.f64) |
#s(literal 2 binary64) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (/.f64 (*.f64 b b) (PI.f64)) | |
| accuracy | 0.6714718388294759 | (/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) | |
| accuracy | 7.474036975827375 | (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) | |
| accuracy | 19.355141968499787 | #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| accuracy | 0.6286802753859418 | (/.f64 (PI.f64) (*.f64 b a)) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) | |
| accuracy | 0.6286802753859418 | (/.f64 (PI.f64) (*.f64 b a)) | |
| accuracy | 21.95175576956194 | #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))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 b a) #s(literal 2 binary64)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a) | |
| accuracy | 0.4858497955067873 | (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) | |
| accuracy | 26.614613903819876 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) | |
| accuracy | 0.21484375 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) | |
| accuracy | 0.23828125 | (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
| 72.0ms | 256× | 0 | valid |
Compiled 472 to 89 computations (81.1% saved)
ival-mult: 25.0ms (46.3% of total)ival-div: 22.0ms (40.7% of total)ival-sub: 2.0ms (3.7% of total)ival-add: 2.0ms (3.7% of total)ival-pi: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) 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))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) |
(/.f64 (PI.f64) (*.f64 b a)) |
(*.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) |
(/.f64 (*.f64 b b) (PI.f64)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| Outputs |
|---|
(* 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))) |
(* 2 (* (pow a 2) b)) |
(/ (PI) (* a (pow b 2))) |
(/ (PI) (* a b)) |
(* a b) |
(/ 1/2 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* 2 (* a 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 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) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(/ (+ (* -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 (/ (- (* 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)) |
(* 1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(+ (* -1/2 (/ 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))) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(/ (pow b 2) (PI)) |
(/ (+ (* -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 (* -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) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(/ (+ (* -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 (/ (- (* 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | ((/ (/ (* 1/2 (PI)) b) a) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* (* b a) 2) a)) (* (* (* b a) 2) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b a)) b) 1/2) (/ (/ (PI) (* b a)) b) (/ (PI) (* b a)) (* b a) (/ 1/2 (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* b b) (PI)) (/ (/ (/ (* 1/2 (PI)) b) a) (+ a b)) (* (* b a) 2) (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))) |
| 4.0ms | a | @ | 0 | ((/ (/ (* 1/2 (PI)) b) a) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* (* b a) 2) a)) (* (* (* b a) 2) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b a)) b) 1/2) (/ (/ (PI) (* b a)) b) (/ (PI) (* b a)) (* b a) (/ 1/2 (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* b b) (PI)) (/ (/ (/ (* 1/2 (PI)) b) a) (+ a b)) (* (* b a) 2) (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))) |
| 4.0ms | b | @ | inf | ((/ (/ (* 1/2 (PI)) b) a) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* (* b a) 2) a)) (* (* (* b a) 2) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b a)) b) 1/2) (/ (/ (PI) (* b a)) b) (/ (PI) (* b a)) (* b a) (/ 1/2 (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* b b) (PI)) (/ (/ (/ (* 1/2 (PI)) b) a) (+ a b)) (* (* b a) 2) (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))) |
| 4.0ms | b | @ | -inf | ((/ (/ (* 1/2 (PI)) b) a) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* (* b a) 2) a)) (* (* (* b a) 2) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b a)) b) 1/2) (/ (/ (PI) (* b a)) b) (/ (PI) (* b a)) (* b a) (/ 1/2 (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* b b) (PI)) (/ (/ (/ (* 1/2 (PI)) b) a) (+ a b)) (* (* b a) 2) (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))) |
| 4.0ms | a | @ | -inf | ((/ (/ (* 1/2 (PI)) b) a) (/ (* 1/2 (PI)) b) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* (* (* b a) 2) a)) (* (* (* b a) 2) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b a)) b) 1/2) (/ (/ (PI) (* b a)) b) (/ (PI) (* b a)) (* b a) (/ 1/2 (+ b a)) (* (* (/ (* b b) (PI)) 2) a) (/ 1 (* (/ (* a b) (* (PI) 1/2)) (+ a b))) (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (/ (* b b) (PI)) (/ (/ (/ (* 1/2 (PI)) b) a) (+ a b)) (* (* b a) 2) (* (/ (PI) (* b a)) (/ 1/2 (+ b a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 932 |
| 1 | 839 | 910 |
| 2 | 2279 | 854 |
| 3 | 5966 | 844 |
| 0 | 8279 | 782 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))) |
(* 2 (* (pow a 2) b)) |
(/ (PI) (* a (pow b 2))) |
(/ (PI) (* a b)) |
(* a b) |
(/ 1/2 b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(* 2 (* a 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 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) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(/ (+ (* -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 (/ (- (* 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)) |
(* 1/2 (/ (PI) b)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(+ (* -1/2 (/ 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))) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(/ (pow b 2) (PI)) |
(/ (+ (* -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 (* -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) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(/ (+ (* -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 (/ (- (* 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)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #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 a 2) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a) #s(literal 1/2 binary64)) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(/ (PI) (* a (pow b 2))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(* a b) |
(*.f64 a b) |
(/ 1/2 b) |
(/.f64 #s(literal 1/2 binary64) b) |
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) |
(/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b) |
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) |
(/.f64 (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #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)) |
(* 2 (/ (* a (pow b 2)) (PI))) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(* a (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow b 2) (PI))))) |
(*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 a (PI.f64)) (+.f64 b a))) |
(* 2 (* a b)) |
(*.f64 (*.f64 a b) #s(literal 2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #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) (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 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) (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 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1/2 (/ b a))) a) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a) |
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a) |
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a) |
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a) |
(* 2 (/ (* (pow a 2) b) (PI))) |
(*.f64 (*.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (/ b (PI))) (* 2 (/ (pow b 2) (* a (PI)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b (PI.f64)))) 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 (fma.f64 (*.f64 (/.f64 b a) (PI.f64)) #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 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a)) a)) (*.f64 a a)) |
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a)) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) a) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) 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 (/ b (pow a 2))) (* 1/2 (/ 1 a))) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a) |
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) a) |
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) b (/.f64 #s(literal 1/2 binary64) a)) |
(* b (+ (* 2 (/ (* a b) (PI))) (* 2 (/ (pow a 2) (PI))))) |
(*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 a (PI.f64)) (+.f64 b a))) |
(/ (pow b 2) (PI)) |
(/.f64 (*.f64 b b) (PI.f64)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (*.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) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (*.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 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)))) (*.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 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #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 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b) |
(* (pow b 2) (+ (* 2 (/ a (PI))) (* 2 (/ (pow a 2) (* b (PI)))))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a (PI.f64))) (*.f64 b b)) #s(literal 2 binary64)) |
(/ (+ (* -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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (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 a b) (PI.f64)) a) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b)) 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 (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) b) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 a b) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 208 |
| 0 | 67 | 204 |
| 1 | 307 | 192 |
| 2 | 2625 | 192 |
| 0 | 8414 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) 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))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) |
(/.f64 (PI.f64) (*.f64 b a)) |
(*.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (+.f64 b a)) |
(*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
#s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) |
(/.f64 (*.f64 b b) (PI.f64)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 a b) (neg.f64 (PI.f64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (PI.f64) b)) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64)) (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 a b))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
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(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(fabs.f64 (PI.f64)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (PI.f64))) |
(log.f64 (exp.f64 (PI.f64))) |
(PI.f64) |
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(*.f64 (pow.f64 (*.f64 a (*.f64 a b)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (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 (*.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) a))) |
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(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) #s(literal -1 binary64)) (PI.f64)) |
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (PI.f64) (pow.f64 (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a))))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 a b) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (neg.f64 a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 #s(literal 2 binary64) a)) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a)) |
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(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) a) |
(/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a))) (/.f64 (PI.f64) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (neg.f64 a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (*.f64 a b)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a b) a)) |
(*.f64 a (*.f64 (*.f64 a b) #s(literal 2 binary64))) |
(*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(*.f64 b (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a b)) b)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (PI.f64)) b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)))) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) (neg.f64 a))) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (neg.f64 (*.f64 (*.f64 b b) a))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 b (/.f64 (PI.f64) (*.f64 a b))))) |
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(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b b) a)) |
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(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b) |
(/.f64 #s(literal 1/2 binary64) (/.f64 b (/.f64 (PI.f64) (*.f64 a b)))) |
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(pow.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) b) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (PI.f64) (*.f64 a b))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) (neg.f64 b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) b) |
(/.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 b (/.f64 a (PI.f64)))) |
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(pow.f64 (*.f64 b (/.f64 a (PI.f64))) #s(literal -1 binary64)) |
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(pow.f64 (exp.f64 (log.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))) |
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(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) #s(literal -1 binary64))) |
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(pow.f64 (pow.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 b (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a b) a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 b (/.f64 a (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (neg.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 b (/.f64 a (PI.f64)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a b)) (*.f64 (+.f64 a b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) a) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (neg.f64 (neg.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) (+.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (neg.f64 a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (+.f64 a b) a)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) a)) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 a b))) |
(/.f64 (PI.f64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (*.f64 b (/.f64 a (PI.f64)))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 b (/.f64 a (PI.f64))) (neg.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 a (PI.f64))) (+.f64 a b))) |
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (+.f64 a b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (neg.f64 a))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (neg.f64 a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 a b) a))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 a b)) a)) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (+.f64 a b)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 a b) (*.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (neg.f64 b) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b)))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) (neg.f64 (+.f64 a b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) (*.f64 a b)) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a))) (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (neg.f64 b) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) b) a) (+.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (/.f64 (+.f64 a b) (PI.f64)))) #s(literal -1 binary64))) |
Compiled 21 482 to 3 044 computations (85.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 913 | 8 | 921 |
| Fresh | 7 | 3 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 922 | 16 | 938 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) | |
| 95.2% | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) a) b)) | |
| ✓ | 57.1% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
| 98.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 b (/.f64 a (PI.f64))))) | |
| 99.5% | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) | |
| 58.6% | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a))) | |
| 98.8% | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) | |
| 57.2% | #s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) | |
| 54.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)) | |
| 65.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b)) | |
| 57.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) | |
| ✓ | 58.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
| ✓ | 65.5% | #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))) |
| 65.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64))) | |
| ✓ | 54.6% | #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))) |
| ✓ | 54.6% | #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 1 646 to 558 computations (66.1% 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 (/.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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64))) |
#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 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a))) |
(*.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 a b) (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64)))) |
(/.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 (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 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) a))) (/.f64 (*.f64 (PI.f64) (-.f64 b 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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (+.f64 a b) (*.f64 (-.f64 b a) 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 b (PI.f64)) (/.f64 (*.f64 a a) (PI.f64)))) b))) |
(/.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 (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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))))) |
(*.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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (*.f64 a b) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 (*.f64 (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 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.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 -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 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 -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
3 calls:
| 21.0ms | a |
| 13.0ms | b |
| 12.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 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 (/.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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64))) |
#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 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a))) |
(*.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 a b) (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ (* a b) (* (PI) 1/2)) (+ a b)) (*.f64 (*.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) a) (PI.f64)) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 a (PI.f64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b #s(literal 2 binary64))) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) |
3 calls:
| 8.0ms | b |
| 8.0ms | a |
| 7.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 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 (/.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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64))) |
#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 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a))) |
(*.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 a b) (*.f64 b (/.f64 a (PI.f64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (PI.f64)) (+.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
3 calls:
| 40.0ms | b |
| 6.0ms | a |
| 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 |
|---|---|---|
| 99.7% | 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 (/.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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) 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) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) #s(literal 1/2 binary64))) |
#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 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 b b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
3 calls:
| 5.0ms | a |
| 5.0ms | b |
| 4.0ms | (*.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 |
|---|---|---|
| 98.8% | 1 | a |
| 98.8% | 1 | b |
| 98.8% | 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 (/.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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg 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:
| 28.0ms | 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 |
|---|---|---|
| 79.5% | 2 | a |
| 83.3% | 2 | b |
| 63.3% | 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 (/.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:
| 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 |
|---|---|---|
| 58.3% | 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))) |
| 58.3% | 1 | a |
| 58.3% | 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 (/.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 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
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 |
|---|---|---|
| 54.6% | 1 | b |
| 54.6% | 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))) |
| 54.6% | 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 | (*.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 | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 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))) |
| 54.6% | 1 | b |
| 54.6% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.7397100951897612e-123 | 6.01093311367478e-118 |
| 12.0ms | 144× | 0 | valid |
Compiled 582 to 434 computations (25.4% saved)
ival-div: 4.0ms (45% of total)ival-mult: 3.0ms (33.8% of total)ival-pi: 1.0ms (11.3% of total)ival-sub: 1.0ms (11.3% 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: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 203 |
| 1 | 74 | 193 |
| 2 | 136 | 193 |
| 3 | 427 | 188 |
| 4 | 1642 | 183 |
| 5 | 4682 | 183 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(if (<=.f64 b #s(literal 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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 (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a) (+.f64 a b)) |
(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)) (+.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 a b) (*.f64 a b)))) |
(if (<=.f64 b #s(literal 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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 (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 208 |
| 0 | 67 | 204 |
| 1 | 307 | 192 |
| 2 | 2625 | 192 |
| 0 | 8414 | 192 |
| 0 | 51 | 287 |
| 0 | 83 | 301 |
| 1 | 376 | 231 |
| 2 | 3796 | 231 |
| 0 | 8288 | 231 |
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1127 | 49 |
| 0 | 9242 | 49 |
| 0 | 291 | 1138 |
| 1 | 768 | 1118 |
| 2 | 2293 | 1080 |
| 3 | 6393 | 1080 |
| 0 | 8215 | 1013 |
| 0 | 44 | 236 |
| 0 | 67 | 226 |
| 1 | 302 | 222 |
| 2 | 2675 | 222 |
| 0 | 8796 | 222 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 558 to 272 computations (51.3% saved)
Compiled 470 to 156 computations (66.8% saved)
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