
Time bar (total: 9.9s)
| 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)
| 900.0ms | 8 256× | 0 | valid |
ival-div: 301.0ms (44% of total)ival-mult: 207.0ms (30.3% of total)ival-pi: 80.0ms (11.7% of total)ival-sub: 76.0ms (11.1% of total)exact: 10.0ms (1.5% of total)ival-true: 7.0ms (1% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 54 | 0 | - | 13 | (-1.283211681439538e+155 3.5510832751427734e-297) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 15 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 13 | 2 | (3.5098852963416454e-272 1.8616073575570229e+161) | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) b) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | n*u | 41 | 0 |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 15 | 0 |
| ↳ | (*.f64 b b) | overflow | 68 | |
| ↳ | (*.f64 a a) | overflow | 75 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 128 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 15 | 0 |
| ↳ | (*.f64 b b) | overflow | 68 | |
| ↳ | (*.f64 a a) | overflow | 75 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 2 |
| - | 2 | 183 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 2 |
| - | 2 | 0 | 183 |
| number | freq |
|---|---|
| 0 | 185 |
| 1 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 333 to 104 computations (68.8% saved)
ival-div: 14.0ms (41.2% of total)ival-mult: 12.0ms (35.3% of total)ival-sub: 5.0ms (14.7% of total)ival-pi: 2.0ms (5.9% of total)ival-true: 1.0ms (2.9% of total)exact: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 109 |
| 1 | 115 | 95 |
| 2 | 418 | 95 |
| 3 | 2087 | 95 |
| 4 | 6060 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 46 | 19 |
| 2 | 108 | 19 |
| 3 | 393 | 18 |
| 4 | 1569 | 17 |
| 5 | 4280 | 17 |
| 0 | 8405 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a))) |
(sort a b)
Compiled 21 to 15 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| cost-diff | 320 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 0 | 26 | 77 |
| 1 | 46 | 73 |
| 2 | 108 | 73 |
| 3 | 393 | 72 |
| 4 | 1569 | 71 |
| 5 | 4280 | 71 |
| 0 | 8405 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 1.6173835201433269 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 3.2968626149812352 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 10.569506084267925 | (*.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))) |
| 34.0ms | 256× | 0 | valid |
Compiled 156 to 32 computations (79.5% saved)
ival-div: 7.0ms (38.7% of total)ival-mult: 7.0ms (38.7% of total)ival-sub: 2.0ms (11% of total)ival-pi: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(- (pow b 2) (pow a 2)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | 6389 | 1080 |
| 0 | 8345 | 1013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(pow b 2) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 2))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* -1 (pow a 2)) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(- (pow b 2) (pow a 2)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) a)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (PI.f64) (/.f64 (PI.f64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (PI.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) a) a (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -1 (pow a 2)) (pow b 2)) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b)) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 8 binary64))) a (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 a #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))) (*.f64 a a)) |
(* -1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) a) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)))) a)) |
(* -1 (pow a 2)) |
(*.f64 (neg.f64 a) a) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (*.f64 a a)) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)) |
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) b)) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (PI.f64) (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) #s(literal -1/2 binary64)) b)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b) (PI.f64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b) (/.f64 (/.f64 (PI.f64) a) a))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (PI.f64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) b) b (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 b b))) |
(- (pow b 2) (pow a 2)) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) b (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 8 binary64))) (neg.f64 b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 b #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 b a) #s(literal -1 binary64)) a) a)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) a) a (PI.f64)) b) b) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64))) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 a b) b) a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (PI.f64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))))) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) b) a) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b)) b)) (*.f64 b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b) (/.f64 (-.f64 b a) a)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a)) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b)) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a) (/.f64 (-.f64 b a) b)) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))) |
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(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
Compiled 18 778 to 2 112 computations (88.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 612 | 19 | 631 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 613 | 19 | 632 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.5% | (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))) |
| 86.2% | (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))))) | |
| 46.0% | (/.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))) | |
| 80.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| 73.3% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| ▶ | 78.4% | (/.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)) |
| 68.0% | (/.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)) | |
| 73.3% | (/.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))))) | |
| 85.4% | (*.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)))) | |
| 85.6% | (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) | |
| 67.9% | (*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a)) | |
| ▶ | 85.5% | (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 80.7% | (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) | |
| 48.2% | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| 45.9% | (*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| ▶ | 46.4% | #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))) |
| 45.8% | #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))) | |
| 52.9% | #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))) | |
| ▶ | 51.4% | #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 950 to 644 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 b a) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| cost-diff | 320 | (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) | |
| cost-diff | 1088 | (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 0 | (*.f64 (-.f64 b a) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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 | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) | |
| cost-diff | 2816 | (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 | 52 | 370 |
| 0 | 86 | 380 |
| 1 | 181 | 370 |
| 2 | 481 | 353 |
| 3 | 1564 | 343 |
| 4 | 6090 | 317 |
| 0 | 8144 | 317 |
| 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 (*.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 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (-.f64 b a) (PI.f64)) |
(-.f64 b a) |
b |
a |
(PI.f64) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
#s(literal -1/2 binary64) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
(*.f64 a b) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 a b) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
| 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 (/.f64 (PI.f64) (+.f64 b a)) b) #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 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 #s(literal 1/2 binary64) 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 (*.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 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (-.f64 b a) (PI.f64)) |
(-.f64 b a) |
b |
a |
(PI.f64) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
#s(literal -1/2 binary64) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
(*.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 (/.f64 (PI.f64) (+.f64 b a)) b) #s(literal 1/2 binary64)) a) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (+.f64 b a)) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (PI.f64) (+.f64 a b)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 a b) |
(+.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.197597509768442 | (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| accuracy | 0.234375 | (/.f64 (PI.f64) (+.f64 a b)) | |
| accuracy | 0.24609375 | (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) | |
| accuracy | 8.70314995999118 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| accuracy | 0.2421875 | (*.f64 (-.f64 b a) (PI.f64)) | |
| accuracy | 1.5598543742962883 | (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) | |
| accuracy | 2.249975228450042 | (fma.f64 (neg.f64 b) b (*.f64 a a)) | |
| accuracy | 30.730312495110788 | (*.f64 (*.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) | |
| accuracy | 0.3515625 | (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 6.2922203611311955 | (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 a a)) | |
| accuracy | 28.08878130939765 | #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 | 0.5903685490394242 | (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 10.042823769765162 | (*.f64 (*.f64 a a) b) | |
| accuracy | 25.02732877184328 | #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 | 0.234375 | (/.f64 (PI.f64) (+.f64 a b)) | |
| accuracy | 0.28125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) | |
| accuracy | 2.1640494267565895 | (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))) | |
| accuracy | 5.0158064015811705 | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)) |
| 97.0ms | 256× | 0 | valid |
Compiled 723 to 104 computations (85.6% saved)
ival-div: 31.0ms (42% of total)ival-mult: 26.0ms (35.2% of total)ival-pow: 6.0ms (8.1% of total)ival-add: 5.0ms (6.8% of total)ival-sub: 3.0ms (4.1% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% 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 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (-.f64 b a) (PI.f64)) |
(-.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 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) 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)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
b |
(+ b (* -1 a)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(* (pow a 2) b) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ 1/2 (pow b 2)) |
(+ (* 1/2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) |
(+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 6))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2)))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 8))) (* 1/2 (/ 1 (pow b 6))))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2)))) |
(/ -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) a)) (* 1/2 (/ (PI) b))) |
(/ 1/2 b) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2)) |
(/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2)) |
(/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) 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) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(- b a) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (- (/ b a) 1) b) |
(- (* -1/2 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 6))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 8))) (* 1/2 (/ 1 (pow a 6))))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2)))) |
(/ (+ (* 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)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(* b (- (/ 1 a) (/ 1 b))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | 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)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a)))) |
| 10.0ms | 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)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a)))) |
| 8.0ms | 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)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a)))) |
| 6.0ms | 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)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a 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)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (- b a) (PI)) (- b a) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* a a) b) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (+ (* (neg b) b) (* a a)) (/ -1/2 (+ (* (neg b) b) (* a a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1031 | 4754 |
| 1 | 3136 | 4039 |
| 0 | 9380 | 3806 |
| 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) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
b |
(+ b (* -1 a)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ b a) |
(/ (+ b (* -1 a)) a) |
(* (pow a 2) b) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ 1/2 (pow b 2)) |
(+ (* 1/2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) |
(+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 6))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2)))) |
(+ (* (pow a 2) (+ (* (pow a 2) (+ (* 1/2 (/ (pow a 2) (pow b 8))) (* 1/2 (/ 1 (pow b 6))))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 2)))) |
(/ -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) a)) (* 1/2 (/ (PI) b))) |
(/ 1/2 b) |
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) |
(* 1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
-1 |
(- (/ b a) 1) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1/2) (pow a 2)) |
(/ (- (* -1/2 (/ (pow b 4) (pow a 4))) (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2))))) (pow a 2)) |
(/ (- (* -1/2 (/ (pow b 6) (pow a 6))) (+ 1/2 (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow b 4) (pow a 4)))))) (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) 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) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(- b a) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (- (/ b a) 1) b) |
(- (* -1/2 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 6))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/2 (/ (pow b 2) (pow a 8))) (* 1/2 (/ 1 (pow a 6))))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2)))) |
(/ (+ (* 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)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(* b (- (/ 1 a) (/ 1 b))) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(/ (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 4) (pow b 4)))) (* -1/2 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1/2 (* 1/2 (/ (pow a 6) (pow b 6)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* -1/2 (/ (pow a 4) (pow b 4))))) (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
| 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 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 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))))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 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 (+ (* -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 (fma.f64 (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 (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) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))))) a (*.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) |
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(* -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))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1/2 binary64))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64))) |
(* -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))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b)) (neg.f64 b))) (neg.f64 b)))) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) b) (*.f64 (neg.f64 (PI.f64)) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (*.f64 (*.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) (neg.f64 b)) (PI.f64)) (neg.f64 b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (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 a (*.f64 a (/.f64 (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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/.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)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 a (*.f64 a (/.f64 (PI.f64) b))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) a)) (neg.f64 b))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) #s(literal -1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(* -1 (* b (- (/ a b) 1))) |
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) a)) b) #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 b)) (/.f64 (PI.f64) a)) (neg.f64 b)) |
(* -1 (* b (- (/ 1 b) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 257 |
| 0 | 82 | 263 |
| 1 | 371 | 241 |
| 2 | 3845 | 241 |
| 0 | 9196 | 241 |
| 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 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 (-.f64 b a) (PI.f64)) |
(-.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 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) 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)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) b) a)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) a) (*.f64 (pow.f64 b #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b))) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (+.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 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) b) a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) b) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (+.f64 a b)) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (+.f64 a b) b)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (neg.f64 b)) |
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(-.f64 b a) |
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(+.f64 b (neg.f64 a)) |
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(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (-.f64 b a)) (*.f64 a b)) |
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(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (+.f64 a b)))) b) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) b)) (+.f64 a b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) |
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(pow.f64 (/.f64 (*.f64 b (/.f64 a (-.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a (-.f64 b a)) b) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 a (-.f64 b a))) #s(literal -1 binary64)) |
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(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 b a)) a) #s(literal -1 binary64)) b) |
(/.f64 (/.f64 (-.f64 b a) b) a) |
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(/.f64 (*.f64 (neg.f64 (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (neg.f64 a) b)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a b))) (/.f64 (-.f64 b a) (neg.f64 (*.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b (neg.f64 a))) (/.f64 (-.f64 b a) (*.f64 b (neg.f64 a)))) |
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(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (*.f64 a b)) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (*.f64 a b))) |
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(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 a (-.f64 b a)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 a #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 b a) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 b a)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b a)) |
(*.f64 (-.f64 b a) (pow.f64 a #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (-.f64 b a)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (+.f64 a b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 b a))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (+.f64 a b) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 a b) (*.f64 a a)) (*.f64 a a)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 a)) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) a)) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 b a)))) |
(/.f64 (-.f64 b a) a) |
(neg.f64 (/.f64 (neg.f64 (-.f64 b a)) a)) |
(fma.f64 b (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 a b) (*.f64 a a)) (/.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a 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 (+.f64 a 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 (+.f64 a b) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (+.f64 a b) a)) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 (+.f64 a b) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 a b) a)) (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 a (+.f64 a b))) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 a (+.f64 a b)))) |
(-.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 a (+.f64 a b))) (/.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 a (+.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 a (+.f64 a b))) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 a (+.f64 a b)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 a (+.f64 a b))) (/.f64 (*.f64 a a) (*.f64 a (+.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))) a) (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) a) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (neg.f64 (-.f64 b a)) a)) |
(-.f64 (/.f64 b a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b a))) #s(literal -1 binary64))) |
(+.f64 (/.f64 b a) #s(literal -1 binary64)) |
(*.f64 (*.f64 a b) a) |
(*.f64 (*.f64 a a) b) |
(*.f64 a (*.f64 a b)) |
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(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #s(literal -2 binary64))) (PI.f64)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)) |
(*.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #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) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (pow.f64 a #s(literal -2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (PI.f64) (pow.f64 a #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 a #s(literal -2 binary64)))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a))) |
(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)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) a) |
(/.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)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))) (neg.f64 (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a)) a) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) a)))) |
(/.f64 #s(literal 1 binary64) (/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a a) (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (neg.f64 a) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (neg.f64 a) a))) |
(exp.f64 (*.f64 (log.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))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 a a (*.f64 (neg.f64 b) b)) |
(fma.f64 b (neg.f64 b) (*.f64 a a)) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.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 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))))) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
Compiled 48 144 to 5 372 computations (88.8% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 411 | 18 | 1 429 |
| Fresh | 12 | 2 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 427 | 21 | 1 448 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.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))) | |
| 83.7% | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.f64 b a)) | |
| 80.7% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| 83.5% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) | |
| 73.3% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| 79.7% | (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) | |
| ▶ | 68.0% | (/.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)) |
| 62.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| 60.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| ▶ | 98.7% | (*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 83.7% | (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) | |
| 70.3% | (*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 67.2% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| ▶ | 66.1% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 52.9% | #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))) | |
| 51.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) | |
| ▶ | 51.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
| 60.4% | #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))) | |
| ✓ | 51.4% | #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))) |
| 60.7% | #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)))) | |
| ▶ | 51.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
Compiled 1 043 to 708 computations (32.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (PI.f64) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 128 | (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| cost-diff | 384 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) | |
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) a) b) | |
| cost-diff | 0 | #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 (PI.f64) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #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) b) (*.f64 a a)) #s(literal 1/2 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) | |
| cost-diff | 0 | (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 320 | (*.f64 (-.f64 b a) #s(literal 1 binary64)) | |
| cost-diff | 1408 | (*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 333 |
| 0 | 82 | 325 |
| 1 | 177 | 321 |
| 2 | 596 | 321 |
| 3 | 3072 | 289 |
| 4 | 6696 | 289 |
| 0 | 8211 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
b |
a |
#s(literal 1 binary64) |
(*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) |
(*.f64 a b) |
(/.f64 (+.f64 a b) (PI.f64)) |
(+.f64 a b) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 (-.f64 b a) a)) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
(-.f64 b a) |
b |
a |
#s(literal 1 binary64) |
(*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) |
(*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) |
(*.f64 a b) |
(/.f64 (+.f64 a b) (PI.f64)) |
(+.f64 a b) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
b |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 binary64) |
(-.f64 b a) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) (+.f64 a b))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(neg.f64 b) |
(*.f64 a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.249975228450042 | (fma.f64 (neg.f64 b) b (*.f64 a a)) | |
| accuracy | 3.546666118014182 | (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) | |
| accuracy | 5.709156928878061 | (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) | |
| accuracy | 14.167542585381952 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) | |
| accuracy | 0.197597509768442 | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| accuracy | 0.2109375 | (/.f64 (PI.f64) a) | |
| accuracy | 0.23046875 | (/.f64 (/.f64 (PI.f64) a) b) | |
| accuracy | 28.400656436008035 | #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64)) | |
| accuracy | 0.2421875 | (/.f64 (PI.f64) b) | |
| accuracy | 10.00147493929692 | (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) | |
| accuracy | 25.02732877184328 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) | |
| accuracy | 0.17806625976844204 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) | |
| accuracy | 0.5541510581054083 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 10.042823769765162 | (*.f64 (*.f64 a a) b) | |
| accuracy | 25.02732877184328 | #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 | 0.162441259768442 | (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64))) | |
| accuracy | 0.197597509768442 | (*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| accuracy | 0.234375 | (/.f64 (+.f64 a b) (PI.f64)) | |
| accuracy | 15.561835241683921 | (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) |
| 264.0ms | 256× | 0 | valid |
Compiled 640 to 103 computations (83.9% saved)
ival-mult: 151.0ms (62.2% of total)ival-div: 82.0ms (33.8% of total)ival-sub: 4.0ms (1.6% of total)ival-add: 2.0ms (0.8% of total)ival-neg: 2.0ms (0.8% of total)ival-pi: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
(*.f64 (*.f64 a b) (/.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))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) b) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) 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)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) |
(/.f64 (+.f64 a b) (PI.f64)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
| 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) |
b |
(+ b (* -1 a)) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (PI) a) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(/ b (PI)) |
(+ (/ a (PI)) (/ b (PI))) |
(* (pow a 2) b) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ (+ (* -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 a) |
(* a (- (/ b a) 1)) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ a (PI)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(- b a) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(/ (PI) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* b (+ 1 (* -1 (/ a b)))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ (/ 1 (PI)) (/ a (* b (PI))))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (* -1 (/ a (* b (PI)))) (/ 1 (PI))))) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | a | @ | -inf | ((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (PI) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) b) (* a a)) 1/2) (/ (PI) b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a))) |
| 5.0ms | b | @ | -inf | ((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (PI) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) b) (* a a)) 1/2) (/ (PI) b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a))) |
| 4.0ms | b | @ | 0 | ((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (PI) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) b) (* a a)) 1/2) (/ (PI) b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a))) |
| 4.0ms | a | @ | 0 | ((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (PI) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) b) (* a a)) 1/2) (/ (PI) b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a))) |
| 4.0ms | b | @ | inf | ((* (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ 1/2 (- b a))) (* (- b a) 1) (- b a) (* (* a b) (/ (+ a b) (PI))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (PI) b) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) b) (* a a)) 1/2) (/ (PI) b) (* (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ 1/2 (- b a))) (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/ (/ (PI) a) b) (/ (PI) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) 1) (* (* a b) (/ (+ a b) (PI)))) (/ (+ a b) (PI)) (* (* a a) b) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 1576 |
| 1 | 1272 | 1425 |
| 2 | 3724 | 1359 |
| 0 | 8444 | 1317 |
| 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) |
b |
(+ b (* -1 a)) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (* a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/ (PI) a) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(/ b (PI)) |
(+ (/ a (PI)) (/ b (PI))) |
(* (pow a 2) b) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(/ (+ (* -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 a) |
(* a (- (/ b a) 1)) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* -1 (/ (PI) (* a b))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ a (PI)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(- b a) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(/ (PI) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* b (+ 1 (* -1 (/ a b)))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* b (+ (/ 1 (PI)) (/ a (* b (PI))))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(* -1 (* b (- (* -1 (/ a (* b (PI)))) (/ 1 (PI))))) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (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 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a) a)) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b) #s(literal 1/2 binary64)))) a) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(/ (* a (pow b 2)) (PI)) |
(*.f64 (/.f64 (*.f64 b b) (PI.f64)) a) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/ (PI) (* (pow a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/ (PI) (* a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64)) a (/.f64 (PI.f64) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.f64) b)) a) |
(/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -2 binary64))) a (/.f64 (PI.f64) b)) a) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) |
(* 1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) |
(* b (PI)) |
(*.f64 (PI.f64) b) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(/ b (PI)) |
(/.f64 b (PI.f64)) |
(+ (/ a (PI)) (/ b (PI))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 b a)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* -1 (* a (pow b 2))) |
(*.f64 (*.f64 (neg.f64 b) a) b) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(* -1 (* a (pow b 3))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) a) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) b) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(/ (+ (* -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) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.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 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b) (/.f64 (PI.f64) a)) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a)) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(/ (* (pow a 2) b) (PI)) |
(*.f64 (*.f64 a (/.f64 a (PI.f64))) b) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(*.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b (PI.f64))) (*.f64 a a)) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 a b)) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)))) a) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b (neg.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b))))) a) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(* -1 (* a (PI))) |
(*.f64 (neg.f64 a) (PI.f64)) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(fma.f64 (/.f64 (/.f64 b a) (PI.f64)) a (/.f64 a (PI.f64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) b) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(*.f64 (-.f64 b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) (pow.f64 a #s(literal 3 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) a))) (neg.f64 a))) (*.f64 a a)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 b (/.f64 b a)) b)) a)) a) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(*.f64 (*.f64 (PI.f64) (-.f64 (/.f64 b a) #s(literal 1 binary64))) a) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(fma.f64 (/.f64 (/.f64 b a) (PI.f64)) a (/.f64 a (PI.f64))) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(*.f64 (-.f64 b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) (pow.f64 a #s(literal 3 binary64))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64))) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64)) b) b)) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64))) b) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)))) b) |
(- b a) |
(-.f64 b a) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(*.f64 (*.f64 (/.f64 a (PI.f64)) (+.f64 b a)) b) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (/.f64 b a) (/.f64 (PI.f64) (neg.f64 a))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64)) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 2 binary64))) b (/.f64 (PI.f64) (neg.f64 a))) b) |
(/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 2 binary64))) b (/.f64 (PI.f64) (neg.f64 a))) b) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) b) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) b)) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)) |
(* b (+ 1 (* -1 (/ a b)))) |
(fma.f64 (/.f64 (neg.f64 a) b) b b) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a (PI.f64))) b) b) |
(/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a)) b) (/.f64 (PI.f64) a)) b) |
(/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a)) b) (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 a a) (/.f64 (PI.f64) a))) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (PI.f64) (-.f64 (/.f64 a b) #s(literal 1 binary64)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b) |
(* b (+ (/ 1 (PI)) (/ a (* b (PI))))) |
(fma.f64 (/.f64 (/.f64 a b) (PI.f64)) b (/.f64 b (PI.f64))) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (*.f64 b b)) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 a b) #s(literal 1 binary64))) b))) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (neg.f64 a) (PI.f64)))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(* -1 (* b (- (/ a b) 1))) |
(fma.f64 (/.f64 (neg.f64 a) b) b b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) a)) b) (/.f64 (PI.f64) a)) b) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (-.f64 (*.f64 a (/.f64 a b)) a)) b)) b) (/.f64 (PI.f64) a)) b) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (PI.f64) (-.f64 (/.f64 a b) #s(literal 1 binary64)))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 a b) (PI.f64)) b) |
(* -1 (* b (- (* -1 (/ a (* b (PI)))) (/ 1 (PI))))) |
(fma.f64 (/.f64 (/.f64 a b) (PI.f64)) b (/.f64 b (PI.f64))) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b) a) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 280 |
| 0 | 82 | 268 |
| 1 | 346 | 268 |
| 2 | 3203 | 268 |
| 0 | 8135 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
(*.f64 (*.f64 a b) (/.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))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) b) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
#s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) 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)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) |
(/.f64 (+.f64 a b) (PI.f64)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (*.f64 a (*.f64 (+.f64 a b) b))) (PI.f64)) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1/2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b))) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b)))) |
(-.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 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b))) (/.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 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b))) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b) (+.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) (/.f64 (/.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)))) |
(-.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 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) (/.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 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) (/.f64 (*.f64 a a) (*.f64 (+.f64 a b) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 a b)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (/.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) |
(-.f64 (/.f64 b (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (/.f64 a (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (neg.f64 (+.f64 a b))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (+.f64 a b)) |
(*.f64 (neg.f64 (+.f64 a b)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 a b) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (PI.f64))) |
(pow.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (pow.f64 (PI.f64) #s(literal -1 binary64))) (-.f64 a b)) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 a a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (+.f64 a b) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (+.f64 a b) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 a b))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) (PI.f64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (PI.f64))) |
(/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (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))) (*.f64 (PI.f64) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(/.f64 (neg.f64 (+.f64 a b)) (neg.f64 (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (+.f64 a b)))) |
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 (PI.f64) (-.f64 a b))) |
(/.f64 (+.f64 a b) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (+.f64 a b))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 a b)) (PI.f64))) |
(neg.f64 (/.f64 (+.f64 a b) (neg.f64 (PI.f64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (PI.f64) (-.f64 a b))) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (PI.f64) (-.f64 a b)))) |
(-.f64 (/.f64 (*.f64 a a) (*.f64 (PI.f64) (-.f64 a b))) (/.f64 (*.f64 b b) (*.f64 (PI.f64) (-.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (PI.f64)) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (+.f64 a b) (neg.f64 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a b) a) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(*.f64 a (fma.f64 (neg.f64 b) b (*.f64 a a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 b) b) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 9 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (*.f64 (*.f64 (neg.f64 b) b) a) (-.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (pow.f64 a #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 (neg.f64 b) b)) #s(literal 3 binary64)) (pow.f64 a #s(literal 9 binary64))) (fma.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (*.f64 a (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (pow.f64 a #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 b) b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (*.f64 (*.f64 (neg.f64 b) b) a)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a))))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 (*.f64 a (*.f64 (neg.f64 b) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (*.f64 a (*.f64 (neg.f64 b) b))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 (*.f64 (neg.f64 b) b) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b))) |
(fma.f64 a (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 (neg.f64 b) b))) |
(+.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 a (*.f64 (neg.f64 b) b)) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (neg.f64 b) b))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) b) a) |
(*.f64 (*.f64 b (fma.f64 (neg.f64 b) b (*.f64 a a))) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (*.f64 a b)) |
(*.f64 (*.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 a a))) |
(*.f64 a (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) b)) |
(*.f64 b (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (neg.f64 b) b)) |
(fma.f64 a a (*.f64 (neg.f64 b) b)) |
(fma.f64 b (neg.f64 b) (*.f64 a a)) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))) |
(-.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (neg.f64 b) b) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)) |
Compiled 32 924 to 4 203 computations (87.2% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 100 | 15 | 1 115 |
| Fresh | 8 | 7 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 111 | 25 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| 89.7% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) | |
| 73.3% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))) | |
| 79.7% | (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) | |
| 68.0% | (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) | |
| 66.1% | (/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) | |
| 45.3% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) | |
| ▶ | 41.0% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
| 62.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| ▶ | 60.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
| 65.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)))) | |
| ▶ | 89.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
| 83.0% | (-.f64 (/.f64 (/.f64 b (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 a (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) | |
| ▶ | 99.5% | (*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
| 72.0% | (*.f64 (/.f64 #s(approx (* (- b a) 1) (neg.f64 a)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| ✓ | 66.1% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 67.2% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 66.1% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) | |
| 52.9% | #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))) | |
| 60.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) | |
| ✓ | 51.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
| 60.4% | #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))) | |
| ✓ | 51.4% | #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))) |
| 60.7% | #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)))) | |
| 60.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)))) | |
| ▶ | 60.4% | #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 b) a)))) |
Compiled 1 235 to 829 computations (32.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 a b) b) | |
| cost-diff | 0 | (*.f64 a (*.f64 (+.f64 a b) b)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) | |
| cost-diff | 1408 | (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (-.f64 b a)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) | |
| cost-diff | 128 | (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) | |
| cost-diff | 0 | (/.f64 (PI.f64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) | |
| cost-diff | 0 | (/.f64 (+.f64 a b) (PI.f64)) | |
| cost-diff | 0 | (-.f64 b a) | |
| cost-diff | 384 | (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) | |
| cost-diff | 1792 | (*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 355 |
| 0 | 81 | 353 |
| 1 | 174 | 345 |
| 2 | 569 | 327 |
| 3 | 2875 | 321 |
| 4 | 5803 | 321 |
| 0 | 8644 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
(-.f64 b a) |
b |
a |
(/.f64 (+.f64 a b) (PI.f64)) |
(+.f64 a b) |
(PI.f64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 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 b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a b) a) |
(*.f64 a b) |
a |
b |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
(*.f64 a b) |
b |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 a (*.f64 (+.f64 a b) b)) |
a |
(*.f64 (+.f64 a b) b) |
(+.f64 a b) |
b |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64)) |
(/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) |
(-.f64 b a) |
b |
a |
(/.f64 (+.f64 a b) (PI.f64)) |
(+.f64 a b) |
(PI.f64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 b a) b)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 b a)) |
#s(literal 1/2 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 b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a b) a) |
(*.f64 (*.f64 a a) b) |
(*.f64 a b) |
a |
b |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
#s(literal 1/2 binary64) |
(*.f64 a b) |
b |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b)) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) |
(neg.f64 (*.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 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
b |
a |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) b) a)) (PI.f64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) |
(/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (*.f64 a (/.f64 b (-.f64 b a))) (/.f64 (+.f64 a b) (PI.f64))) |
(*.f64 a (*.f64 (+.f64 a b) b)) |
(*.f64 (*.f64 (+.f64 a b) b) a) |
a |
(*.f64 (+.f64 a b) b) |
(+.f64 a b) |
b |
(*.f64 (PI.f64) (-.f64 b a)) |
(PI.f64) |
(-.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (*.f64 (PI.f64) (-.f64 b a)) | |
| accuracy | 0.6652217682125482 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) | |
| accuracy | 5.744313178878061 | (*.f64 a (*.f64 (+.f64 a b) b)) | |
| accuracy | 16.166750635784755 | (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) | |
| accuracy | 3.546666118014182 | (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) | |
| accuracy | 5.709156928878061 | (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) | |
| accuracy | 14.167542585381952 | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) | |
| accuracy | 30.78080373235973 | #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.203125 | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| accuracy | 0.2109375 | (/.f64 (PI.f64) a) | |
| accuracy | 32.3523004696298 | #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 a b) a) | |
| accuracy | 0.17806625976844204 | (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) | |
| accuracy | 0.5541510581054083 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) | |
| accuracy | 25.02732877184328 | #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 b) a)))) | |
| accuracy | 0.19140625 | (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) | |
| accuracy | 0.20216752930532605 | (*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) | |
| accuracy | 0.234375 | (/.f64 (+.f64 a b) (PI.f64)) | |
| accuracy | 0.2890625 | (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
| 125.0ms | 256× | 0 | valid |
Compiled 674 to 104 computations (84.6% saved)
ival-div: 46.0ms (55.4% of total)ival-mult: 27.0ms (32.5% of total)ival-sub: 4.0ms (4.8% of total)ival-add: 2.0ms (2.4% of total)ival-neg: 2.0ms (2.4% of total)ival-pi: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
(-.f64 b a) |
(/.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 b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(*.f64 a (*.f64 (+.f64 a b) b)) |
(*.f64 (+.f64 a b) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (*.f64 a b) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) |
(/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(PI) |
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
b |
(+ b (* -1 a)) |
(/ b (PI)) |
(+ (/ a (PI)) (/ b (PI))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* 1/2 (/ (PI) a)) |
(/ (PI) a) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(pow b 2) |
(+ (* a b) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(* (pow a 2) b) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(/ (* a b) (PI)) |
(* a (+ (* 2 (/ a (PI))) (/ b (PI)))) |
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (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 (PI)) |
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a))) |
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a))) |
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2)))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(/ a (PI)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* a b) |
(* a (+ b (/ (pow b 2) a))) |
(/ -1/2 (* (pow a 2) b)) |
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2))) |
(/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(* -1 (/ (* a b) (PI))) |
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 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 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a))) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(* -1 (* a (- (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))) (* -1 (/ (pow b 2) (* a (PI))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (* -1 (/ (* b (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) a))) a)) (/ b (PI))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (* -1 (/ (+ (* b (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (/ (* (pow b 2) (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) a)) a))) a)) (/ b (PI))))) |
(/ (+ (* -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 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a))))) |
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a))))) |
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a))))) |
(- b a) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ a b)) |
(/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (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)) |
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b)) |
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b)) |
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ (/ 1 (PI)) (/ a (* b (PI))))) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2)) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (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)) |
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) |
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (* -1 (/ a (* b (PI)))) (/ 1 (PI))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | inf | ((* (/ (- b a) (/ (+ a b) (PI))) (/ (/ 1/2 (- b a)) (* a b))) (/ (- b a) (/ (+ a b) (PI))) (- b a) (/ (+ a b) (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (/ 1/2 (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a))) (* a (* (+ a b) b)) (* (+ a b) b) (/ (/ 1/2 (- b a)) (* a b)) (* (* a b) a) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* a (* (+ a b) b)) (* (PI) (- b a)))) |
| 7.0ms | b | @ | -inf | ((* (/ (- b a) (/ (+ a b) (PI))) (/ (/ 1/2 (- b a)) (* a b))) (/ (- b a) (/ (+ a b) (PI))) (- b a) (/ (+ a b) (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (/ 1/2 (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a))) (* a (* (+ a b) b)) (* (+ a b) b) (/ (/ 1/2 (- b a)) (* a b)) (* (* a b) a) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* a (* (+ a b) b)) (* (PI) (- b a)))) |
| 5.0ms | a | @ | -inf | ((* (/ (- b a) (/ (+ a b) (PI))) (/ (/ 1/2 (- b a)) (* a b))) (/ (- b a) (/ (+ a b) (PI))) (- b a) (/ (+ a b) (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (/ 1/2 (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a))) (* a (* (+ a b) b)) (* (+ a b) b) (/ (/ 1/2 (- b a)) (* a b)) (* (* a b) a) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* a (* (+ a b) b)) (* (PI) (- b a)))) |
| 4.0ms | b | @ | inf | ((* (/ (- b a) (/ (+ a b) (PI))) (/ (/ 1/2 (- b a)) (* a b))) (/ (- b a) (/ (+ a b) (PI))) (- b a) (/ (+ a b) (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (/ 1/2 (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a))) (* a (* (+ a b) b)) (* (+ a b) b) (/ (/ 1/2 (- b a)) (* a b)) (* (* a b) a) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* a (* (+ a b) b)) (* (PI) (- b a)))) |
| 4.0ms | a | @ | 0 | ((* (/ (- b a) (/ (+ a b) (PI))) (/ (/ 1/2 (- b a)) (* a b))) (/ (- b a) (/ (+ a b) (PI))) (- b a) (/ (+ a b) (PI)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (/ (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* a b)) (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (* (/ (PI) a) 1/2) (/ (PI) a) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (/ 1/2 (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a))) (* a (* (+ a b) b)) (* (+ a b) b) (/ (/ 1/2 (- b a)) (* a b)) (* (* a b) a) (+ (* (neg b) b) (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (/ (* a (* (+ a b) b)) (* (PI) (- b a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 3067 |
| 1 | 2325 | 2740 |
| 2 | 7110 | 2720 |
| 0 | 8088 | 2598 |
| 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) |
(PI) |
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
b |
(+ b (* -1 a)) |
(/ b (PI)) |
(+ (/ a (PI)) (/ b (PI))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(* 1/2 (/ (PI) a)) |
(/ (PI) a) |
(* -1/2 (* b (PI))) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* 1/2 (* b (PI))) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(* b (PI)) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(/ (* a (pow b 2)) (PI)) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(pow b 2) |
(+ (* a b) (pow b 2)) |
(/ 1/2 (* a (pow b 2))) |
(/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(* (pow a 2) b) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(* -1 (* a (pow b 2))) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(* -1 (* a (pow b 3))) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(/ (* a b) (PI)) |
(* a (+ (* 2 (/ a (PI))) (/ b (PI)))) |
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (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 (PI)) |
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a))) |
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a))) |
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2)))) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(/ a (PI)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(* 1/2 (* a (PI))) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(* -1/2 (* a (PI))) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(* -1 (* a (PI))) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(/ (* (pow a 2) b) (PI)) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* a b) |
(* a (+ b (/ (pow b 2) a))) |
(/ -1/2 (* (pow a 2) b)) |
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2))) |
(/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(* -1 (/ (* a b) (PI))) |
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI))))) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 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 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a))) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) |
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) |
(/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(/ (- (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 b) (* -1/2 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) |
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1))) |
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) |
(* -1 (* a (- (+ (/ b (PI)) (/ (pow b 2) (* a (PI)))) (* -1 (/ (pow b 2) (* a (PI))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (* -1 (/ (* b (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) a))) a)) (/ b (PI))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (* -1 (/ (+ (* b (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) (/ (* (pow b 2) (- (/ (pow b 2) (PI)) (* -1 (/ (pow b 2) (PI))))) a)) a))) a)) (/ b (PI))))) |
(/ (+ (* -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 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a))))) |
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a))))) |
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a))))) |
(- b a) |
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) |
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3)))))))) |
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) |
(* b (+ (/ (* a b) (PI)) (/ (pow a 2) (PI)))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ a b)) |
(/ (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(/ (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b) |
(+ (* -1 (* a (pow b 2))) (pow a 3)) |
(* b (+ (* -1 (* a (pow b 2))) (pow a 3))) |
(* b (+ (* -2 (/ b (PI))) (* -1 (/ a (PI))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* -2 (/ b (* a (PI)))) (* 2 (/ 1 (PI))))))) |
(* b (+ (* -1 (/ a (PI))) (* b (- (* b (- (* -2 (/ b (* (pow a 2) (PI)))) (* 2 (/ 1 (* a (PI)))))) (* 2 (/ 1 (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)) |
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b)) |
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b)) |
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ (/ 1 (PI)) (/ a (* b (PI))))) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b) |
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))) |
(* b (+ (PI) (* -1 (/ (* a (PI)) b)))) |
(* (pow b 2) (+ (/ a (PI)) (/ (pow a 2) (* b (PI))))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ 1 (/ a b))) |
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow b 2)) |
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) (pow b 2)) |
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1)) |
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2)))) |
(* b (- (+ (/ a (PI)) (/ (pow a 2) (* b (PI)))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2)) (/ (pow a 2) (* b (PI))))) (* -1 (/ (pow a 2) (* b (PI)))))) |
(* b (- (+ (/ a (PI)) (+ (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 3)) (/ (pow a 2) (* b (PI))))) (+ (* -1 (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) (pow b 2))) (* -1 (/ (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)) |
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) |
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (* -1 (/ a (* b (PI)))) (/ 1 (PI))))) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b)) |
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI))))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
| 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 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a) |
(PI) |
(PI.f64) |
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64)) a (PI.f64)) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64))) a (PI.f64)) |
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64)) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal -2 binary64))) a (PI.f64)) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(/ b (PI)) |
(/.f64 b (PI.f64)) |
(+ (/ a (PI)) (/ b (PI))) |
(+.f64 (/.f64 a (PI.f64)) (/.f64 b (PI.f64))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b) |
(* 1/2 (/ (PI) b)) |
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) |
(* 1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(* -1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64)) |
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) |
(* 1/2 (* b (PI))) |
(*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) |
(*.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) |
(* b (PI)) |
(*.f64 (PI.f64) b) |
(+ (* -1 (* a (PI))) (* b (PI))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(/ (* a (pow b 2)) (PI)) |
(*.f64 (*.f64 b (/.f64 b (PI.f64))) a) |
(* a (+ (/ (* a b) (PI)) (/ (pow b 2) (PI)))) |
(*.f64 (fma.f64 (/.f64 b (PI.f64)) a (*.f64 a (/.f64 a (PI.f64)))) b) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* a b) (pow b 2))) |
(*.f64 b (*.f64 (+.f64 a b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* a b) (pow b 2)) |
(*.f64 (+.f64 a b) b) |
(/ 1/2 (* a (pow b 2))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) |
(/ (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a) |
(/ (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a) |
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a) |
(/.f64 (fma.f64 (fma.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)))) a (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (pow a 2)) |
(fma.f64 (neg.f64 b) b (*.f64 a a)) |
(* -1 (* a (pow b 2))) |
(*.f64 (*.f64 (neg.f64 b) a) b) |
(* a (+ (* -1 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) |
(* -1 (* a (pow b 3))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) a) |
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b) |
(/ (* a b) (PI)) |
(*.f64 (/.f64 b (PI.f64)) a) |
(* a (+ (* 2 (/ a (PI))) (/ b (PI)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) a (/.f64 b (PI.f64))) a) |
(* a (+ (* a (+ (* 2 (/ a (* b (PI)))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a (PI.f64)) b) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) a (/.f64 b (PI.f64))) a) |
(* a (+ (* a (+ (* a (+ (* 2 (/ a (* (pow b 2) (PI)))) (* 2 (/ 1 (* b (PI)))))) (* 2 (/ 1 (PI))))) (/ b (PI)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 (PI.f64) b) b)) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) b)) a (/.f64 #s(literal 2 binary64) (PI.f64))) a (/.f64 b (PI.f64))) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a)) |
(* -1 (PI)) |
(neg.f64 (PI.f64)) |
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64))) |
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a))) |
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64)) a) b) a) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b)) (PI.f64)) |
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 3 binary64))) (*.f64 b b) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64)) a) b) a) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b))) (PI.f64)) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) |
(/ a (PI)) |
(/.f64 a (PI.f64)) |
(* a (+ (/ 1 (PI)) (/ b (* a (PI))))) |
(fma.f64 (/.f64 (/.f64 b a) (PI.f64)) a (/.f64 a (PI.f64))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) |
(/.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64))) a) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 b b) (PI.f64)) #s(literal 1/2 binary64))) a) |
(* 1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) a) |
(* -1/2 (* a (PI))) |
(*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal 1/2 binary64)) a) |
(* -1 (* a (PI))) |
(*.f64 (neg.f64 a) (PI.f64)) |
(* a (+ (* -1 (PI)) (/ (* b (PI)) a))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a) |
(/ (* (pow a 2) b) (PI)) |
(*.f64 (*.f64 a (/.f64 a (PI.f64))) b) |
(* (pow a 2) (+ (/ b (PI)) (/ (pow b 2) (* a (PI))))) |
(*.f64 (*.f64 (fma.f64 b (/.f64 (/.f64 b a) (PI.f64)) (/.f64 b (PI.f64))) a) a) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 b (/.f64 b a) b) a) a) |
(* a b) |
(*.f64 a b) |
(* a (+ b (/ (pow b 2) a))) |
(*.f64 (fma.f64 b (/.f64 b a) b) a) |
(/ -1/2 (* (pow a 2) b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) b)) |
(* -1 (/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow a 2))) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(/ (- (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)) |
(/ (- (+ (* -1/2 (/ b (pow a 2))) (* -1/2 (/ (pow b 2) (pow a 3)))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b a) a)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 (/.f64 b a) a))) a) a) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 (/.f64 b a) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) b) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2))))) |
(*.f64 (-.f64 b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (/ (* a b) (PI))) |
(*.f64 (/.f64 (neg.f64 a) (PI.f64)) b) |
(* a (- (+ (* -1 (/ b (PI))) (* -1 (/ (pow b 2) (* a (PI))))) (/ (pow b 2) (* a (PI))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b (PI.f64))) #s(literal -2 binary64)) a) (/.f64 b (PI.f64))) a) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2)))) (/ (pow b 2) (* a (PI))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (/.f64 b (PI.f64))) #s(literal -2 binary64)) a) (/.f64 b a) (/.f64 (*.f64 (*.f64 b (/.f64 b (PI.f64))) #s(literal -2 binary64)) a)) (/.f64 b (PI.f64))) a) |
(* a (- (+ (* -1 (/ b (PI))) (+ (* -1 (/ (pow b 2) (* a (PI)))) (/ (* (pow b 2) (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 3)))) (+ (* -1 (/ (* b (- (* -1 (/ (pow b 2) (PI))) (/ (pow b 2) (PI)))) (pow a 2))) (/ (pow b 2) (* a (PI)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (PI.f64))) #s(literal -2 binary64)) (*.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (/.f64 (/.f64 b a) (PI.f64)) (/.f64 b (PI.f64))))) (fma.f64 (/.f64 b a) (/.f64 b (PI.f64)) (/.f64 (*.f64 (*.f64 (*.f64 b (/.f64 b (PI.f64))) #s(literal -2 binary64)) b) (*.f64 (neg.f64 a) a)))) a) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal 1/2 binary64)) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (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 (PI.f64) (*.f64 b (/.f64 b a))) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a)) |
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64))) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a))) |
(-.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b) (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64))) (neg.f64 a)) (PI.f64)) |
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64)) b (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b))) a) #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal -2 binary64))) (neg.f64 a)) (PI.f64)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ b (* a (PI)))) (/ 1 (PI))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (/.f64 b a) (PI.f64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) a) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 b (/.f64 b a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) b) b) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a)) |
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) a) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) |
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) #s(literal -1/2 binary64)) b) |
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(/ (+ (* -1 (/ (- (* -1/2 (/ a b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (pow a 2) b))) b)) 1/2) b)) (* 1/2 (/ 1 a))) (pow b 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 a (/.f64 a b) a) #s(literal 1/2 binary64)) b)) b)) (*.f64 b b)) |
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2)))))) |
(*.f64 (-.f64 a (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))) b))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64)))) (neg.f64 b)) (/.f64 a (PI.f64))) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (/ (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64)))) b) a (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64))))) (neg.f64 b)) (/.f64 a (PI.f64))) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ a (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI))))) b)) (* a (- (/ (pow a 2) (PI)) (* -1 (/ (pow a 2) (PI)))))) b)) (/ (pow a 2) (PI))) (* -1 (/ (pow a 2) (PI)))) b))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64))) (/.f64 (neg.f64 (fma.f64 a (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64)))) b) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (PI.f64)))) a))) (neg.f64 b))) (neg.f64 b)) (/.f64 a (PI.f64))) (neg.f64 b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 302 |
| 0 | 81 | 298 |
| 1 | 341 | 292 |
| 2 | 3107 | 292 |
| 0 | 8618 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
(-.f64 b a) |
(/.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 b) a)))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a))) |
(PI.f64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
#s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) |
(/.f64 (PI.f64) a) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) |
(*.f64 (PI.f64) (-.f64 b a)) |
(*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(*.f64 a (*.f64 (+.f64 a b) b)) |
(*.f64 (+.f64 a b) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) |
(*.f64 (*.f64 a b) a) |
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) |
(/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) (neg.f64 (+.f64 a b))) (neg.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) (+.f64 a b)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.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 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (/.f64 (-.f64 b a) (+.f64 a b))) (PI.f64)) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) |
(*.f64 (/.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (PI.f64) (/.f64 b (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)))) |
(*.f64 (/.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (pow.f64 (PI.f64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) (pow.f64 (*.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) b) a)) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a)) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a))))) |
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (/.f64 (+.f64 a b) (PI.f64)))) |
(*.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)))) |
(*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a))) |
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (PI.f64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (-.f64 b a)) (/.f64 (/.f64 (+.f64 a b) (PI.f64)) (-.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 a b) (PI.f64)) (-.f64 b a)) (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (-.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))))) (*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) (*.f64 (/.f64 #s(literal -1 binary64) b) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a) (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 b)) (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 b))) (*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) a) (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (neg.f64 b)))))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a)) (+.f64 a b)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) a) b) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) b) a) |
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))))) (+.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 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) b) a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) b) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))) (*.f64 a (*.f64 b (-.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a)) (/.f64 (neg.f64 (+.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.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 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (-.f64 b a)) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (neg.f64 (-.f64 b a))) (/.f64 (neg.f64 (+.f64 a b)) (PI.f64))) |
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 a b) (PI.f64)) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) b) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 #s(literal -1/2 binary64) (-.f64 b a))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 a b) #s(literal 1/2 binary64)) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b (-.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) b) (*.f64 a (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) b) a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 a b)) (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)))) |
(/.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 (/.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 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
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(/.f64 (PI.f64) (/.f64 (+.f64 a b) (-.f64 b a))) |
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(/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) |
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(neg.f64 (/.f64 (-.f64 b a) (/.f64 (neg.f64 (+.f64 a b)) (PI.f64)))) |
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(-.f64 (/.f64 b (/.f64 (+.f64 a b) (PI.f64))) (/.f64 a (/.f64 (+.f64 a b) (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 a b) (PI.f64)) (-.f64 b a))) #s(literal -1 binary64))) |
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(*.f64 #s(literal 1 binary64) (-.f64 b a)) |
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(pow.f64 (/.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 a))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
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(/.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (neg.f64 (+.f64 a b))) |
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(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
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(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (PI.f64)) a) |
(/.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) a) |
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(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) |
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(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
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(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)) |
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(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))) |
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(PI.f64) |
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(pow.f64 (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a b)) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a)) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) b))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) b)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) (*.f64 a b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) b) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a)) |
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)))) (neg.f64 b)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) b) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) a) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a)) b) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b)))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 (neg.f64 a) b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b))) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) |
(*.f64 a #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) |
(/.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) b) a) |
(*.f64 (*.f64 b #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) a) |
(*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b) |
(*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) (*.f64 a b)) |
(*.f64 (*.f64 a b) #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) |
(*.f64 a (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) b)) |
(*.f64 b (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a)) |
(/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) b) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (*.f64 b #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 b a) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) |
(*.f64 (/.f64 (*.f64 (+.f64 a b) a) (PI.f64)) (/.f64 b (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (+.f64 a b) a) (-.f64 b a)) (/.f64 b (PI.f64))) |
(*.f64 (/.f64 (*.f64 (+.f64 a b) b) (PI.f64)) (/.f64 a (-.f64 b a))) |
(*.f64 (/.f64 a (-.f64 b a)) (/.f64 (*.f64 (+.f64 a b) b) (PI.f64))) |
(*.f64 (*.f64 (/.f64 b (-.f64 b a)) (/.f64 (+.f64 a b) (PI.f64))) a) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 a b) a) (/.f64 b (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) b) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a b) b) a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 a b) b) a)) |
(*.f64 (*.f64 (+.f64 a b) (/.f64 b (-.f64 b a))) (/.f64 a (PI.f64))) |
(*.f64 (/.f64 a (PI.f64)) (*.f64 (+.f64 a b) (/.f64 b (-.f64 b a)))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)) (pow.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (pow.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 a b) b) (/.f64 a (*.f64 (PI.f64) (-.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 a b) a) (PI.f64)) (/.f64 b (-.f64 b a)))) |
(*.f64 a (*.f64 (/.f64 b (-.f64 b a)) (/.f64 (+.f64 a b) (PI.f64)))) |
(pow.f64 (/.f64 (-.f64 b a) (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 a a)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.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))))) |
(/.f64 (*.f64 a (*.f64 (+.f64 a b) (/.f64 b (-.f64 b a)))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 (+.f64 a b) b)) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a b) b) a) #s(literal 1 binary64)) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (-.f64 b a)) (PI.f64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)))) |
(/.f64 (*.f64 (/.f64 b (-.f64 b a)) (/.f64 (+.f64 a b) (PI.f64))) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)) (-.f64 b a)) |
(/.f64 (*.f64 (+.f64 a b) (/.f64 b (-.f64 b a))) (/.f64 (PI.f64) a)) |
(/.f64 (/.f64 a (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) b))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)) (*.f64 (neg.f64 (PI.f64)) (-.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b))) |
(/.f64 a (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) b))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) a) (neg.f64 b)) (*.f64 (PI.f64) (-.f64 b a)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (PI.f64)) (-.f64 b a))) (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b))) #s(literal -1 binary64))) |
Compiled 43 903 to 5 091 computations (88.4% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 421 | 9 | 1 430 |
| Fresh | 11 | 6 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 436 | 19 | 1 455 |
| Status | Accuracy | Program |
|---|---|---|
| 41.0% | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) | |
| 79.7% | (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) | |
| 45.3% | (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) | |
| 62.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) | |
| 60.7% | (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) | |
| 66.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) | |
| 65.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) | |
| 53.2% | (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) | |
| 81.3% | (*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) | |
| 73.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) | |
| 66.1% | (*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) | |
| ✓ | 66.1% | (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| 52.9% | #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))) | |
| 60.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) | |
| ✓ | 51.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
| 60.4% | #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))) | |
| ✓ | 51.4% | #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))) |
| 60.7% | #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)))) | |
| ✓ | 60.4% | #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 b) a)))) |
Compiled 2 072 to 655 computations (68.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)))) |
(/.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 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(approx (* (- b a) 1) (neg.f64 a)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.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 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (-.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 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (-.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))) |
(-.f64 (/.f64 (/.f64 b (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 a (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))) |
(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.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))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
3 calls:
| 19.0ms | a |
| 18.0ms | b |
| 16.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)))) |
(/.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 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(approx (* (- b a) 1) (neg.f64 a)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.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 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (-.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)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
3 calls:
| 22.0ms | a |
| 16.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | a |
| 98.7% | 1 | b |
| 98.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)))) |
(/.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 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(approx (* (- b a) 1) (neg.f64 a)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 b a)) (*.f64 (*.f64 (/.f64 (+.f64 a b) (PI.f64)) a) b)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
3 calls:
| 42.0ms | (*.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))) |
| 16.0ms | b |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | a |
| 99.7% | 2 | b |
| 89.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)))) |
(/.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 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(approx (* (- b a) 1) (neg.f64 a)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) a)) (/.f64 (-.f64 b a) b)) (-.f64 b a)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
2 calls:
| 26.0ms | b |
| 15.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | a |
| 99.3% | 2 | b |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | b |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
2 calls:
| 10.0ms | b |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | a |
| 95.5% | 2 | b |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 a b) a) (*.f64 b (-.f64 b a)))) (*.f64 (PI.f64) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a b) (*.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 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)) |
| Outputs |
|---|
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
1 calls:
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 (neg.f64 a) (PI.f64)) b)) (-.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a)) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))) (*.f64 (*.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)) |
(/.f64 (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (PI.f64) a) b)) #s(literal 1/2 binary64)) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
1 calls:
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (*.f64 (/.f64 b (PI.f64)) a)) (-.f64 b a))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
2 calls:
| 10.0ms | b |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | b |
| 94.2% | 2 | a |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | b |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
| Outputs |
|---|
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b)) |
2 calls:
| 5.0ms | b |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | a |
| 91.9% | 2 | b |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
| Outputs |
|---|
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
3 calls:
| 6.0ms | b |
| 5.0ms | a |
| 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 |
|---|---|---|
| 68.0% | 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))) |
| 82.4% | 2 | b |
| 84.8% | 2 | a |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
(/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a b)) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a))) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) |
#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))) |
1 calls:
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 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 (/.f64 (PI.f64) b) (*.f64 a a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))) |
| Outputs |
|---|
#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 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)))) |
#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))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (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))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 60.4% | 1 | b |
| 60.4% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
3 calls:
| 2.0ms | a |
| 2.0ms | b |
| 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 |
|---|---|---|
| 60.4% | 1 | b |
| 60.4% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 60.4% | 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 |
|---|---|---|
| 51.3% | 1 | b |
| 51.3% | 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))) |
| 51.3% | 1 | a |
Compiled 23 to 19 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.34939560417139e+76 | 2.881276862932564e+77 |
| 10.0ms | 80× | 0 | valid |
Compiled 249 to 185 computations (25.7% saved)
ival-sub: 3.0ms (39.1% of total)ival-div: 2.0ms (26% of total)ival-mult: 2.0ms (26% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.34939560417139e+76 | 2.881276862932564e+77 |
Compiled 249 to 185 computations (25.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.34939560417139e+76 | 2.881276862932564e+77 |
| 1.0ms | 16× | 0 | valid |
Compiled 249 to 185 computations (25.7% saved)
ival-pi: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -1.3676621863648175e-48 | -9.440078639884853e-53 |
| 13.0ms | 128× | 0 | valid |
Compiled 400 to 308 computations (23% saved)
ival-div: 5.0ms (48.4% of total)ival-mult: 3.0ms (29% of total)ival-pi: 1.0ms (9.7% of total)ival-sub: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.3676621863648175e-48 | -9.440078639884853e-53 |
Compiled 440 to 332 computations (24.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.3676621863648175e-48 | -9.440078639884853e-53 |
Compiled 440 to 332 computations (24.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.0031345889499459e-148 | 1.9426523994731784e-147 |
| 13.0ms | 112× | 0 | valid |
Compiled 388 to 293 computations (24.5% saved)
ival-mult: 5.0ms (51% of total)ival-div: 3.0ms (30.6% of total)ival-sub: 1.0ms (10.2% of total)ival-pi: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0031345889499459e-148 | 1.9426523994731784e-147 |
Compiled 416 to 307 computations (26.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
| 14.0ms | 128× | 0 | valid |
Compiled 440 to 340 computations (22.7% saved)
ival-mult: 5.0ms (47.7% of total)ival-div: 3.0ms (28.6% of total)ival-pi: 1.0ms (9.5% of total)ival-sub: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 448 to 324 computations (27.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 488 to 348 computations (28.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 520 to 388 computations (25.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 520 to 388 computations (25.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 520 to 388 computations (25.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4516613520109341e-13 | -3.408098611238523e-16 |
Compiled 520 to 388 computations (25.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 996 |
| 1 | 191 | 996 |
| 2 | 205 | 996 |
| 3 | 222 | 996 |
| 4 | 231 | 996 |
| 5 | 235 | 996 |
| 6 | 236 | 996 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(if (<=.f64 b #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 3455165794209175/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)))) |
(if (<=.f64 b #s(literal 3455165794209175/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #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 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a 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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)) (/.f64 (-.f64 b a) (/.f64 (+.f64 a b) (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 a b) (/.f64 (+.f64 a b) (PI.f64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) |
(if (<=.f64 b #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 (/.f64 (-.f64 b a) a) (PI.f64))) (*.f64 (+.f64 a b) b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (*.f64 (+.f64 a b) b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 a b) b) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (+.f64 a b) b)) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 280000000000000000321333304781609280627972100690964841222179916714808304467968 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a b) b) a) (*.f64 (PI.f64) (-.f64 b a))) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (/.f64 (neg.f64 (PI.f64)) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -934646588558445/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (neg.f64 (PI.f64)) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 b #s(literal 3455165794209175/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (*.f64 #s(approx (/ (- b a) (/ (+ a b) (PI))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (*.f64 a b)))) |
(if (<=.f64 b #s(literal 3455165794209175/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (*.f64 #s(approx (* (/ (/ (- b a) a) b) (/ (PI) (+ a b))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) (/.f64 #s(approx (* (* (- b a) (PI)) (/ -1/2 (+ (* (neg b) b) (* a a)))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 a b)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 (/.f64 b (PI.f64)) b) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 b (/.f64 b (PI.f64))) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ (* a (* (+ a b) b)) (* (PI) (- b a))) (- b a)) (*.f64 (*.f64 (/.f64 b (PI.f64)) b) a)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a b)) a)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #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 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (PI.f64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
(if (<=.f64 a #s(literal -237684487542793/39614081257132168796771975168 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 302 |
| 0 | 81 | 298 |
| 1 | 341 | 292 |
| 2 | 3107 | 292 |
| 0 | 8618 | 292 |
| 0 | 50 | 257 |
| 0 | 82 | 263 |
| 1 | 371 | 241 |
| 2 | 3845 | 241 |
| 0 | 9196 | 241 |
| 0 | 735 | 3067 |
| 1 | 2325 | 2740 |
| 2 | 7110 | 2720 |
| 0 | 8088 | 2598 |
| 0 | 415 | 1576 |
| 1 | 1272 | 1425 |
| 2 | 3724 | 1359 |
| 0 | 8444 | 1317 |
| 0 | 291 | 1138 |
| 1 | 768 | 1118 |
| 2 | 2293 | 1080 |
| 3 | 6389 | 1080 |
| 0 | 8345 | 1013 |
| 0 | 1031 | 4754 |
| 1 | 3136 | 4039 |
| 0 | 9380 | 3806 |
| 0 | 53 | 280 |
| 0 | 82 | 268 |
| 1 | 346 | 268 |
| 2 | 3203 | 268 |
| 0 | 8135 | 268 |
| 0 | 15 | 53 |
| 0 | 26 | 49 |
| 1 | 124 | 49 |
| 2 | 1123 | 49 |
| 0 | 9193 | 49 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 706 to 1 329 computations (50.9% saved)
Compiled 2 524 to 622 computations (75.4% saved)
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