
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 23 to 17 computations (26.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-div: 499.0ms (55.7% of total)ival-mult: 246.0ms (27.5% of total)ival-sub: 89.0ms (9.9% of total)ival-pi: 40.0ms (4.5% of total)exact: 9.0ms (1% of total)ival-true: 6.0ms (0.7% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 2 | (-3.168419525872065e+160 -2.1508592419606107e-301) | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 20 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 a a)) |
| 6 | 0 | - | 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 | 31 | 0 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 a a)) | nan-rescue | 20 | 0 |
| ↳ | (*.f64 b b) | overflow | 62 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
/.f64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | n/o | 6 | 0 |
| ↳ | (*.f64 b b) | overflow | 62 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 a a)) | overflow | 115 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 53 | 5 |
| - | 4 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 53 | 0 | 5 |
| - | 4 | 0 | 194 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 512× | 0 | valid |
Compiled 179 to 49 computations (72.6% saved)
ival-div: 14.0ms (36.7% of total)ival-mult: 12.0ms (31.5% of total)ival-pi: 5.0ms (13.1% of total)ival-sub: 4.0ms (10.5% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 111 |
| 1 | 108 | 97 |
| 2 | 402 | 95 |
| 3 | 1860 | 95 |
| 4 | 6229 | 95 |
| 0 | 15 | 21 |
| 0 | 26 | 21 |
| 1 | 50 | 19 |
| 2 | 147 | 19 |
| 3 | 621 | 19 |
| 4 | 4164 | 19 |
| 0 | 8321 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64)) |
Compiled 21 to 15 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.3% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
Compiled 21 to 15 computations (28.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.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 | 2 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 0 | 26 | 77 |
| 1 | 50 | 73 |
| 2 | 147 | 73 |
| 3 | 621 | 73 |
| 4 | 4164 | 73 |
| 0 | 8321 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
(*.f64 a a) |
a |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) |
(/.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 #s(literal -1 binary64) (fma.f64 (neg.f64 b) b (*.f64 a 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 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| accuracy | 0.6161639469820468 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| accuracy | 4.546852294132265 | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| accuracy | 6.65883637579001 | (*.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))) |
| 43.0ms | 256× | 0 | valid |
Compiled 79 to 17 computations (78.5% saved)
ival-div: 7.0ms (42.2% of total)ival-mult: 6.0ms (36.2% of total)ival-sub: 2.0ms (12.1% of total)ival-pi: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a 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 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(* 1/2 (/ (PI) (* 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) |
(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))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) 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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(/ (+ (* -1/2 (/ (* 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) |
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | a | @ | inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 2.0ms | b | @ | 0 | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
| 1.0ms | a | @ | -inf | ((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 1145 |
| 1 | 905 | 1099 |
| 2 | 3714 | 1081 |
| 0 | 8269 | 1035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4)))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6)))))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(* 1/2 (/ (PI) (* 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) |
(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))) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(* 1/2 (/ (PI) (* (pow a 2) 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 (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 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) |
(/ (+ (* -1/2 (/ (* 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) |
(- (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)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(* (pow b 2) (+ 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) (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 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.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)))))) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8)))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (/.f64 (PI.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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) 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 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) 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 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b) |
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) |
(fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (+.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 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)) |
(* -1/2 (/ (PI) (pow a 2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) |
(*.f64 (fma.f64 b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b) (/.f64 (PI.f64) (*.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) (+.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a)) |
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 a a)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) a) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a)) |
(* -1 (pow a 2)) |
(*.f64 (neg.f64 a) a) |
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 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 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 b b) a) (*.f64 (neg.f64 (PI.f64)) b))) a)) (neg.f64 a))) (*.f64 a a)) |
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) |
(*.f64 (fma.f64 b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b) (/.f64 (PI.f64) (*.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)))))) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) |
(+ (* -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 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) a) (*.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b (*.f64 (/.f64 (PI.f64) (*.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 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) 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 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b 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))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2)) |
(*.f64 (fma.f64 a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (PI.f64) (*.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 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)) |
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (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)) |
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (*.f64 b b)) |
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) 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 a b) (/.f64 a b) #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 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 a a) b) (*.f64 (neg.f64 (PI.f64)) a))) b)) (neg.f64 b))) (*.f64 b b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 54 |
| 0 | 26 | 54 |
| 1 | 112 | 50 |
| 0 | 1004 | 50 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a 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 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.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 (PI.f64) #s(literal 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 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 b a)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.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 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.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) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.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) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.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))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.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)))) |
(/.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 (+.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))) (/.f64 (PI.f64) #s(literal 2 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 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.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 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (*.f64 a b) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.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 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.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) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a b)))) |
(/.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 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 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64))) |
(PI.f64) |
(*.f64 (+.f64 (neg.f64 b) (neg.f64 a)) (-.f64 (neg.f64 b) (neg.f64 a))) |
(*.f64 (+.f64 (neg.f64 b) (fabs.f64 a)) (-.f64 (neg.f64 b) (fabs.f64 a))) |
(*.f64 (+.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a)) |
(*.f64 (+.f64 (fabs.f64 b) (neg.f64 a)) (-.f64 (fabs.f64 b) (neg.f64 a))) |
(*.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 b) (fabs.f64 a))) |
(*.f64 (+.f64 (fabs.f64 b) a) (-.f64 (fabs.f64 b) a)) |
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a))) |
(*.f64 (+.f64 b (fabs.f64 a)) (-.f64 b (fabs.f64 a))) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 a a (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 a) a)) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 a) a)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 a) a)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 a) a)) |
(fma.f64 (neg.f64 a) a (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 a) a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(fma.f64 b b (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(fma.f64 b b (*.f64 (neg.f64 a) a)) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) a)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(+.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a))) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 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 (*.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 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64))) |
Compiled 5 194 to 845 computations (83.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 13 | 180 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 168 | 13 | 181 |
| Status | Accuracy | Program |
|---|---|---|
| 81.0% | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) | |
| ▶ | 89.1% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
| 42.9% | (/.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)))) | |
| 85.6% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) | |
| ▶ | 81.4% | (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
| 81.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) | |
| 29.3% | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| ▶ | 49.7% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
| 52.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)) | |
| 49.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))) | |
| ▶ | 52.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
| 55.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64))) | |
| ▶ | 59.0% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
Compiled 720 to 484 computations (32.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) | |
| cost-diff | 8 | (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) | |
| cost-diff | 0 | (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (PI.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 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| cost-diff | 8 | (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 400 |
| 0 | 82 | 398 |
| 1 | 166 | 392 |
| 2 | 513 | 356 |
| 3 | 2317 | 326 |
| 4 | 7256 | 326 |
| 0 | 8049 | 326 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) |
(PI.f64) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(+.f64 a b) |
a |
b |
(-.f64 b a) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
#s(literal 2 binary64) |
(*.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.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 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 (PI.f64) b) |
b |
(*.f64 a a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) |
#s(literal -1/2 binary64) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
a |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) |
(PI.f64) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (+.f64 a b)) |
#s(literal 1 binary64) |
(+.f64 a b) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) b) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) |
(PI.f64) |
(*.f64 (+.f64 a b) (-.f64 b a)) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(-.f64 b a) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a b) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
(PI.f64) |
(*.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 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 (PI.f64) b) |
b |
(*.f64 a a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
a |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) b) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a) b) |
(PI.f64) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) b) a) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (-.f64 b a) a) |
(-.f64 b a) |
b |
a |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) (+.f64 b a)) |
#s(literal 1 binary64) |
(+.f64 a b) |
(+.f64 b a) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) | |
| accuracy | 0.18359375 | (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) | |
| accuracy | 6.621513947215599 | (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) | |
| accuracy | 7.381508148064528 | (/.f64 (/.f64 (-.f64 b a) a) b) | |
| accuracy | 0.21875 | (*.f64 (/.f64 (PI.f64) b) a) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) b) | |
| accuracy | 6.480813418951373 | (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) | |
| accuracy | 29.24983879900505 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) | |
| accuracy | 0.2578125 | (/.f64 (PI.f64) a) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) b) | |
| accuracy | 3.868692242484875 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) | |
| accuracy | 26.635040055265236 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.3802550668027558 | (/.f64 (PI.f64) (*.f64 a a)) | |
| accuracy | 7.317493129308213 | (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) | |
| accuracy | 22.374301783463324 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 2 binary64) (*.f64 a b)) | |
| accuracy | 0.1875 | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| accuracy | 0.7171750620383572 | (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) | |
| accuracy | 28.489702705828105 | (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) |
| 124.0ms | 256× | 0 | valid |
Compiled 362 to 48 computations (86.7% saved)
ival-div: 51.0ms (49.7% of total)ival-sub: 27.0ms (26.3% of total)ival-mult: 22.0ms (21.4% of total)ival-pi: 1.0ms (1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.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 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(/.f64 (PI.f64) b) |
(/.f64 (PI.f64) a) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
| Outputs |
|---|
(/ (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 (/ (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) (pow b 2)) |
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(/ 1 (* a (pow b 2))) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(* 2 (* a b)) |
(/ (* a (PI)) b) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ 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))) |
(/ (+ (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 (/ (PI) (pow a 2))) |
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (* a (PI)) (pow b 3))) |
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))) |
(* -1/2 (/ (* a (PI)) (pow b 2))) |
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b))))) |
(/ 1 (* (pow a 2) b)) |
(/ (- (/ 1 b) (/ 1 a)) (pow a 2)) |
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (+ b (* -1 b)) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (pow a 2)) |
(/ (- (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ 1 (+ (* -1 (/ b a)) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (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 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3)))))) |
(* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2)))))) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (* -1 (/ b a)) (/ b a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (+ (/ (pow b 2) a) (/ (pow (+ b (* -1 b)) 2) a)) (+ b (* -1 b))) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a) (/ (* (pow b 2) (+ b (* -1 b))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)) (+ b (* -1 b))) a)) 1) (pow a 2)) |
(+ (* -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 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2)) |
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (- (/ b a) 1) b) |
(- (* -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))) |
(/ (+ (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)) |
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (- (/ 1 a) (/ 1 b)) (pow b 2)) |
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(/ (+ 1 (* -1 (/ (+ a (* -1 a)) b))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (+ (* -1 (/ a b)) (/ a b))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (/ a b))))) (pow b 2)) |
(* -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)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow (+ a (* -1 a)) 2) b))) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | b | @ | 0 | ((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* 2 (* a b)) (/ (PI) b) (/ (PI) a) (* (/ (PI) b) a) (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) |
| 11.0ms | b | @ | inf | ((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* 2 (* a b)) (/ (PI) b) (/ (PI) a) (* (/ (PI) b) a) (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) |
| 8.0ms | a | @ | inf | ((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* 2 (* a b)) (/ (PI) b) (/ (PI) a) (* (/ (PI) b) a) (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) |
| 7.0ms | a | @ | 0 | ((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* 2 (* a b)) (/ (PI) b) (/ (PI) a) (* (/ (PI) b) a) (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) |
| 6.0ms | b | @ | -inf | ((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* 2 (* a b)) (/ (PI) b) (/ (PI) a) (* (/ (PI) b) a) (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 3002 |
| 1 | 2418 | 2535 |
| 0 | 9906 | 2449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 (/ (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) (pow b 2)) |
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ (PI) (* (pow a 2) b)) |
(/ (PI) (pow a 2)) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(* -1/2 (/ (PI) a)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) |
(* 1/2 (/ (PI) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(/ 1 (* a (pow b 2))) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(* 2 (* a b)) |
(/ (* a (PI)) b) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/ 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))) |
(/ (+ (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 (/ (PI) (pow a 2))) |
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(* -1/2 (/ (PI) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (* a (PI)) (pow b 3))) |
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))) |
(* -1/2 (/ (* a (PI)) (pow b 2))) |
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b))))) |
(/ 1 (* (pow a 2) b)) |
(/ (- (/ 1 b) (/ 1 a)) (pow a 2)) |
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(/ -1 b) |
(- (/ 1 a) (/ 1 b)) |
(/ -1 (pow a 2)) |
(/ (- (* -1 (/ (+ b (* -1 b)) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (pow a 2)) |
(/ (- (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ 1 (+ (* -1 (/ b a)) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (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 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3)))))) |
(* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2)))))) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (* -1 (/ b a)) (/ b a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (+ (/ (pow b 2) a) (/ (pow (+ b (* -1 b)) 2) a)) (+ b (* -1 b))) a)) 1) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a) (/ (* (pow b 2) (+ b (* -1 b))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)) (+ b (* -1 b))) a)) 1) (pow a 2)) |
(+ (* -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 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) |
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2)) |
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (- (/ b a) 1) b) |
(- (* -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))) |
(/ (+ (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)) |
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2)) |
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2)) |
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) |
(/ (- (/ 1 a) (/ 1 b)) (pow b 2)) |
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(/ (+ 1 (* -1 (/ (+ a (* -1 a)) b))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (+ (* -1 (/ a b)) (/ a b))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (/ a b))))) (pow b 2)) |
(* -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)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2)) |
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow (+ a (* -1 a)) 2) b))) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
| Outputs |
|---|
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(fma.f64 (neg.f64 a) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b)) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b))) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) 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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a) |
(/ (PI) (pow b 2)) |
(/.f64 (PI.f64) (*.f64 b b)) |
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(fma.f64 (fma.f64 a (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.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))))) b) #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b))) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64)) b) |
(/ (PI) (* (pow a 2) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/ (PI) (pow a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(* -1/2 (/ (PI) (pow a 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1/2 (/ (PI) a)) |
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) a) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) a) |
(* 1/2 (/ (PI) (pow b 2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b))) |
(+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) |
(* 1/2 (/ (PI) b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)) |
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 a b) (/.f64 (PI.f64) b)) (/.f64 (PI.f64) b))) |
(/ 1 (* a (pow b 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) a)) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (-.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) a) |
(/ (PI) (* a (pow b 2))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a) |
(* 2 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(/ (* a (PI)) b) |
(*.f64 a (/.f64 (PI.f64) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ (+ 1 (* -1 (/ a b))) a) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) |
(+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #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 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.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 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64)) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) a) (PI.f64))) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)) (PI.f64))) (*.f64 b (/.f64 (PI.f64) a))) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(* -1 (/ (PI) (pow a 2))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(* -1 (/ (PI) b)) |
(/.f64 (neg.f64 (PI.f64)) b) |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(* -1/2 (/ (PI) (pow b 3))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)))) |
(* -1/2 (/ (* a (PI)) (pow b 3))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) |
(* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)))) a) |
(* -1/2 (/ (* a (PI)) (pow b 2))) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (*.f64 b b))) |
(* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (/.f64 (PI.f64) a) b))) a) |
(/ 1 (* (pow a 2) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b) |
(/ (- (/ 1 b) (/ 1 a)) (pow a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a)) |
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a)) |
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (fma.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) (*.f64 a a)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) (*.f64 a a)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (-.f64 (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a))) (*.f64 a a)) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(- (/ 1 a) (/ 1 b)) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/ -1 (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (+ b (* -1 b)) a)) 1) (pow a 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 a a)) |
(/ (- (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ (- (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ 1 (+ (* -1 (/ b a)) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 0 binary64))) (*.f64 a a)) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(/.f64 (fma.f64 b (/.f64 (PI.f64) a) (neg.f64 (PI.f64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (*.f64 b b) (/.f64 (PI.f64) a) (*.f64 (neg.f64 (PI.f64)) b)) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (PI.f64) a) (*.f64 (*.f64 (neg.f64 b) b) (PI.f64))) (neg.f64 a)) (*.f64 (PI.f64) b)) a)) (neg.f64 a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b (/.f64 (PI.f64) a)) (PI.f64))) (neg.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 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 b b) (/.f64 (PI.f64) a) (*.f64 (neg.f64 (PI.f64)) b))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a)) |
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 a a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 b b #s(literal 0 binary64))) a) a)) (*.f64 a a)) |
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2)) |
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(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (neg.f64 b)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b))) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) b) (*.f64 (PI.f64) a)) b)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow (+ a (* -1 a)) 2) b))) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 a) a #s(literal 0 binary64)) b) b)) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (* -1 (+ a (* -1 a)))) b))) (pow b 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b)) b)) (*.f64 b b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 323 |
| 0 | 82 | 321 |
| 1 | 306 | 313 |
| 0 | 2610 | 313 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.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 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (PI.f64) (*.f64 a a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(/.f64 (PI.f64) b) |
(/.f64 (PI.f64) a) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (/.f64 (-.f64 b a) a) b) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a))) |
(*.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (-.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 b a)) |
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) |
(*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (-.f64 b a)) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 (-.f64 b a) (neg.f64 (PI.f64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (PI.f64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (-.f64 b a) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a (+.f64 b a))))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (PI.f64))) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (PI.f64)) (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (neg.f64 (PI.f64))) (*.f64 (+.f64 b a) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (PI.f64)) (*.f64 (+.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b)) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) b)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (*.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (*.f64 b a))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) b) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 b a) b) a)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (PI.f64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 b #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) b) a) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) a) b) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) a)) b) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 b a)) (*.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.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 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (-.f64 b a) (neg.f64 a))) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (-.f64 b a) a)) b) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) b) a)) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))) (neg.f64 (*.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) (neg.f64 a))) (*.f64 #s(literal 2 binary64) (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 #s(literal 2 binary64) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 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 b a))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
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(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (+.f64 b a) (*.f64 b a))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (+.f64 b a) (*.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))) |
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (neg.f64 (-.f64 b a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a))) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (-.f64 b a))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(neg.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (neg.f64 (-.f64 b a)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64))) |
Compiled 17 978 to 2 452 computations (86.4% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 21 | 559 |
| Fresh | 8 | 0 | 8 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 551 | 21 | 572 |
| Status | Accuracy | Program |
|---|---|---|
| 81.4% | (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) b)) #s(literal 2 binary64)) | |
| ▶ | 98.6% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
| 89.1% | (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 a (+.f64 b b))) | |
| 42.9% | (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) | |
| 85.6% | (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) | |
| ▶ | 86.0% | (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
| 56.0% | (/.f64 (*.f64 (PI.f64) #s(approx (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) a)))) #s(literal 2 binary64)) | |
| ▶ | 60.8% | (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
| 56.1% | (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) | |
| 55.9% | #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b)))) | |
| 54.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) a) b)) | |
| 56.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) b) a)) | |
| ▶ | 55.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
| ▶ | 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
| 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (neg.f64 (PI.f64)) b))) (*.f64 a a))) | |
| 59.2% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64))) | |
| 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) | |
| 58.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) | |
| 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) | |
| 54.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) a))) | |
| 52.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
Compiled 1 248 to 838 computations (32.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (-.f64 b a) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| cost-diff | 6 | (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) b) | |
| cost-diff | 0 | #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (+.f64 b a)) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) | |
| cost-diff | 8 | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 352 |
| 0 | 83 | 344 |
| 1 | 189 | 340 |
| 2 | 740 | 294 |
| 3 | 3425 | 278 |
| 0 | 8650 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 b a) |
b |
a |
(-.f64 b a) |
(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 b a) |
#s(literal 2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
#s(literal 2 binary64) |
(*.f64 a b) |
a |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
a |
#s(literal -1/2 binary64) |
(*.f64 b (*.f64 b a)) |
(*.f64 b a) |
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(PI.f64) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
b |
a |
#s(literal 1 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 b a) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) |
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(/.f64 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 b a) |
(+.f64 a b) |
b |
a |
(-.f64 b a) |
(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) b) a) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 b a) |
(*.f64 a b) |
#s(literal 2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
#s(literal 2 binary64) |
(*.f64 a b) |
a |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (PI.f64) b) |
(PI.f64) |
b |
a |
#s(literal -1/2 binary64) |
(*.f64 b (*.f64 b a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 b a) |
(*.f64 a b) |
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a) b) |
(PI.f64) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) b) a) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(-.f64 b a) |
(-.f64 b a) |
b |
a |
#s(literal 1 binary64) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
(*.f64 (*.f64 (+.f64 a b) b) (*.f64 (-.f64 b a) a)) |
(*.f64 b a) |
(*.f64 a b) |
(*.f64 (-.f64 b a) (+.f64 b a)) |
(*.f64 (-.f64 b a) (+.f64 a b)) |
(+.f64 b a) |
(+.f64 a b) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) | |
| accuracy | 1.2727187915620144 | (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) | |
| accuracy | 7.631051874410018 | (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) | |
| accuracy | 0.21875 | (*.f64 (/.f64 (PI.f64) b) a) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) b) | |
| accuracy | 2.9719256519244786 | (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) | |
| accuracy | 29.24983879900505 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 2 binary64) (*.f64 a b)) | |
| accuracy | 0.1875 | (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) b) | |
| accuracy | 33.10911655014974 | #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.3372137452524038 | (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) | |
| accuracy | 6.986899754809383 | (*.f64 (*.f64 a a) b) | |
| accuracy | 22.374301783463324 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) | |
| accuracy | 0.12890625 | (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))) | |
| accuracy | 0.265625 | (/.f64 (PI.f64) (+.f64 b a)) | |
| accuracy | 0.296875 | (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) | |
| accuracy | 0.8305615573333269 | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
| 107.0ms | 256× | 0 | valid |
Compiled 320 to 49 computations (84.7% saved)
ival-mult: 30.0ms (51.1% of total)ival-div: 19.0ms (32.3% of total)ival-sub: 4.0ms (6.8% of total)ival-add: 3.0ms (5.1% of total)ival-pi: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (*.f64 a a) b) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.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)))) |
(/ (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 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (PI)) |
(+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) |
(* -1 (PI)) |
(- (/ (* a (PI)) b) (PI)) |
(/ 1 (* a (pow b 2))) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
b |
(+ b (* -1 a)) |
(* 2 (* a (pow b 2))) |
(* a (+ (* -2 (* a b)) (* 2 (pow b 2)))) |
(* (pow a 2) b) |
(* 2 (* a b)) |
(/ (* a (PI)) b) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(/ (+ (* -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)) (/ (* 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)))) |
(/ (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) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (* a (PI)) b)) |
(* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))) |
(* a (+ (* -1 (/ (PI) a)) (/ (PI) b))) |
(/ 1 (* (pow a 2) b)) |
(/ (- (/ 1 b) (/ 1 a)) (pow a 2)) |
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2)) |
(/ (PI) (* (pow a 2) b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) a)))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -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 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))) |
(* -1 (* a (+ (* -1 (/ (PI) b)) (/ (PI) a)))) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(/ (+ (* -1/2 (/ (* 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))))) |
(+ (* -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 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b) |
(/ (+ (* -1 (* b (PI))) (* a (PI))) b) |
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(- b a) |
(* b (+ (* -2 (pow a 2)) (* 2 (* a b)))) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(/ (+ (* -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)))) |
(/ (+ (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 a) (/ 1 b)) (pow b 2)) |
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(* b (+ 1 (* -1 (/ a b)))) |
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a))) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(/ (+ (* -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 (/ (+ (* -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 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | 0 | ((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) b) a) (PI)) -1/2) (* b (* b a))) (* (- (* (/ (PI) b) a) (PI)) -1/2) (- (* (/ (PI) b) a) (PI)) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a)))) (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) (* (- b a) 1) (/ (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) 2) (* (- b a) (* (* b a) 2)) (* (* a a) b) (* 2 (* a b)) (* (/ (PI) b) a) (* (* b a) (* (- b a) (+ b a)))) |
| 9.0ms | b | @ | -inf | ((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) b) a) (PI)) -1/2) (* b (* b a))) (* (- (* (/ (PI) b) a) (PI)) -1/2) (- (* (/ (PI) b) a) (PI)) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a)))) (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) (* (- b a) 1) (/ (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) 2) (* (- b a) (* (* b a) 2)) (* (* a a) b) (* 2 (* a b)) (* (/ (PI) b) a) (* (* b a) (* (- b a) (+ b a)))) |
| 5.0ms | a | @ | -inf | ((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) b) a) (PI)) -1/2) (* b (* b a))) (* (- (* (/ (PI) b) a) (PI)) -1/2) (- (* (/ (PI) b) a) (PI)) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a)))) (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) (* (- b a) 1) (/ (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) 2) (* (- b a) (* (* b a) 2)) (* (* a a) b) (* 2 (* a b)) (* (/ (PI) b) a) (* (* b a) (* (- b a) (+ b a)))) |
| 4.0ms | a | @ | inf | ((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) b) a) (PI)) -1/2) (* b (* b a))) (* (- (* (/ (PI) b) a) (PI)) -1/2) (- (* (/ (PI) b) a) (PI)) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a)))) (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) (* (- b a) 1) (/ (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) 2) (* (- b a) (* (* b a) 2)) (* (* a a) b) (* 2 (* a b)) (* (/ (PI) b) a) (* (* b a) (* (- b a) (+ b a)))) |
| 4.0ms | b | @ | inf | ((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) b) a) (PI)) -1/2) (* b (* b a))) (* (- (* (/ (PI) b) a) (PI)) -1/2) (- (* (/ (PI) b) a) (PI)) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a)))) (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) (* (- b a) 1) (/ (* (PI) (/ (* (- b a) 1) (* (* b a) (* (- b a) (+ b a))))) 2) (* (- b a) (* (* b a) 2)) (* (* a a) b) (* 2 (* a b)) (* (/ (PI) b) a) (* (* b a) (* (- b a) (+ b a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 2527 |
| 1 | 2112 | 2229 |
| 0 | 8044 | 2156 |
| 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)))) |
(/ (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 (/ (PI) (* (pow a 2) b))) |
(* 1/2 (PI)) |
(+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) |
(* -1 (PI)) |
(- (/ (* a (PI)) b) (PI)) |
(/ 1 (* a (pow b 2))) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
b |
(+ b (* -1 a)) |
(* 2 (* a (pow b 2))) |
(* a (+ (* -2 (* a b)) (* 2 (pow b 2)))) |
(* (pow a 2) b) |
(* 2 (* a b)) |
(/ (* a (PI)) b) |
(* a (pow b 3)) |
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3))) |
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
(/ (+ (* -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)) (/ (* 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)))) |
(/ (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) (pow b 3))) |
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))) |
(* -1/2 (/ (* a (PI)) b)) |
(* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))) |
(* a (+ (* -1 (/ (PI) a)) (/ (PI) b))) |
(/ 1 (* (pow a 2) b)) |
(/ (- (/ 1 b) (/ 1 a)) (pow a 2)) |
(/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2)) |
(/ (PI) (* (pow a 2) b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* -2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) a)))) |
(* -1 (* (pow a 3) b)) |
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a))) |
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2))))) |
(/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -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 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))) |
(* -1 (* a (+ (* -1 (/ (PI) b)) (/ (PI) a)))) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) |
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a))))) |
(/ (+ (* -1/2 (/ (* 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))))) |
(+ (* -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 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3)) |
(/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b) |
(/ (+ (* -1 (* b (PI))) (* a (PI))) b) |
(/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(- b a) |
(* b (+ (* -2 (pow a 2)) (* 2 (* a b)))) |
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a)))))) |
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a))))))) |
(/ (+ (* -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)))) |
(/ (+ (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 a) (/ 1 b)) (pow b 2)) |
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(* b (+ 1 (* -1 (/ a b)))) |
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a))) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(/ (+ (* -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 (/ (+ (* -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 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(*.f64 (/.f64 (/.f64 (PI.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 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b)))) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a) |
(PI) |
(PI.f64) |
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))) |
(fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) 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 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b))) 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 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (/.f64 (neg.f64 (PI.f64)) b)) (/.f64 (PI.f64) b)) a (PI.f64)) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64)) b) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) |
(* -1 (PI)) |
(neg.f64 (PI.f64)) |
(- (/ (* a (PI)) b) (PI)) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(/ 1 (* a (pow b 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) a) |
(/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a) |
(/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a) |
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (-.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a) |
(/ (PI) (* a (pow b 2))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
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b |
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(* 2 (* a (pow b 2))) |
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(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* 2 (* a b)) |
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(/ (* a (PI)) b) |
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(* a (pow b 3)) |
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(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3))) |
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(* -1/2 (/ (PI) (pow b 3))) |
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(* a (- (/ b a) 1)) |
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(* -2 (* (pow a 2) b)) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) b) b) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (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)) |
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b)) |
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64)) |
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b)) |
(+.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)) (PI.f64)) |
(- (+ (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)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b))) (PI.f64)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/.f64 (-.f64 (PI.f64) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) b) (*.f64 (PI.f64) a)) b))) b) |
(/ (- (/ 1 a) (/ 1 b)) (pow b 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)) |
(/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)) |
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)) (*.f64 b b)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b) b) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)) (*.f64 b b)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)) (*.f64 b b)) |
(* b (+ 1 (* -1 (/ a b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) |
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a))) |
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 a (/.f64 a b)) a)) (*.f64 b b)) |
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b))) |
(*.f64 (-.f64 a (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -1 binary64) #s(literal 0 binary64)) b) a) (pow.f64 b #s(literal 3 binary64))) |
(/ (+ (* -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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (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 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (PI.f64) (*.f64 a (/.f64 a b))))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b)) |
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) |
(-.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) a (neg.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) 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))) |
(-.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (*.f64 a a) (*.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64))) a)) b))) b)) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64))) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (neg.f64 b)) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) b) b) |
(/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 a (/.f64 a b))) b)) b) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) b) b) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) b) b) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) (*.f64 b b)) |
(* -1 (* b (- (/ a b) 1))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal -1 binary64) #s(literal 0 binary64)) b) a))) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 285 |
| 0 | 83 | 277 |
| 1 | 310 | 217 |
| 0 | 2616 | 217 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a))) |
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) |
(/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))) |
(*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) |
(*.f64 (-.f64 b a) #s(literal 1 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
(*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (*.f64 a a) b) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) (-.f64 b a))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))) #s(literal 2 binary64)) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) |
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) a) b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a))) |
(*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) (*.f64 (*.f64 (-.f64 b a) a) b)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (-.f64 b a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (-.f64 b a)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) (*.f64 (-.f64 b a) (+.f64 a b))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a))) (neg.f64 (+.f64 a b))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) (-.f64 b a))) (+.f64 a b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.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) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.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 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b)))) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.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) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.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) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 b a)) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (-.f64 b a) (+.f64 a b))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 b a) (+.f64 a b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) (*.f64 a b)) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (+.f64 a b))) (*.f64 #s(literal -2 binary64) (*.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (PI.f64)) (neg.f64 (+.f64 a b)))) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (*.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (*.f64 (neg.f64 (+.f64 a b)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)))) |
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(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (-.f64 b a)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) (-.f64 b a))) |
(*.f64 (-.f64 b a) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a b)))) |
(*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b)) |
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (+.f64 a b)) |
(fma.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (*.f64 (*.f64 (-.f64 b a) a) b) #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (*.f64 (-.f64 b a) a) b (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (*.f64 (-.f64 b a) b) a (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (*.f64 a b) (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (-.f64 b a) (*.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 (-.f64 b a) (*.f64 a b) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 a (*.f64 (-.f64 b a) b) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(fma.f64 b (*.f64 (-.f64 b a) a) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(+.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 b (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) b)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 a b) a) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
(*.f64 (*.f64 #s(literal 2 binary64) b) a) |
(*.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (*.f64 a b) #s(literal 2 binary64)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(*.f64 a (+.f64 b b)) |
(*.f64 b (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (-.f64 (*.f64 a b) (*.f64 a b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a b) (*.f64 #s(literal 1 binary64) (*.f64 a b))) |
(fma.f64 (*.f64 a b) #s(literal 1 binary64) (*.f64 (*.f64 a b) #s(literal 1 binary64))) |
(fma.f64 a b (*.f64 a b)) |
(fma.f64 b a (*.f64 a b)) |
(-.f64 (*.f64 a b) (*.f64 (neg.f64 b) a)) |
(-.f64 (*.f64 a b) (*.f64 (neg.f64 a) b)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 a b)) (*.f64 #s(literal 1 binary64) (*.f64 a b))) |
(+.f64 (*.f64 (*.f64 a b) #s(literal 1 binary64)) (*.f64 (*.f64 a b) #s(literal 1 binary64))) |
(+.f64 (*.f64 a b) (*.f64 a b)) |
(*.f64 (/.f64 (PI.f64) b) a) |
(*.f64 a (/.f64 (PI.f64) b)) |
(*.f64 (PI.f64) (/.f64 a b)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) a) (neg.f64 b)) |
(/.f64 (*.f64 a (neg.f64 (PI.f64))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 a (PI.f64))) (neg.f64 b)) |
(/.f64 (*.f64 a (PI.f64)) b) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) b) a) |
(*.f64 (*.f64 (*.f64 a b) (+.f64 a b)) (-.f64 b a)) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) a) (+.f64 a b)) b) |
(*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)) |
(*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 a b)) |
(*.f64 (*.f64 a b) (*.f64 (-.f64 b a) (+.f64 a b))) |
(*.f64 (-.f64 b a) (*.f64 (+.f64 a b) (*.f64 a b))) |
(*.f64 (+.f64 a b) (*.f64 (*.f64 (-.f64 b a) a) b)) |
(*.f64 a (*.f64 b (*.f64 (-.f64 b a) (+.f64 a b)))) |
(*.f64 b (*.f64 (*.f64 (-.f64 b a) a) (+.f64 a b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a b)) (fma.f64 a a (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 (-.f64 b a) (+.f64 a b))) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (-.f64 b a) a) b) a (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) b)) |
(fma.f64 (*.f64 (*.f64 (-.f64 b a) a) b) b (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) a)) |
(fma.f64 (*.f64 (-.f64 b a) b) (*.f64 a b) (*.f64 (*.f64 (-.f64 b a) a) (*.f64 a b))) |
(fma.f64 (*.f64 b b) (*.f64 a b) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))) |
(fma.f64 (*.f64 a b) (*.f64 (-.f64 b a) b) (*.f64 (*.f64 a b) (*.f64 (-.f64 b a) a))) |
(fma.f64 (*.f64 a b) (*.f64 b b) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))) |
(fma.f64 a (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 b (*.f64 (*.f64 (-.f64 b a) a) b))) |
(fma.f64 b (*.f64 (*.f64 (-.f64 b a) a) b) (*.f64 a (*.f64 (*.f64 (-.f64 b a) a) b))) |
(+.f64 (*.f64 a (*.f64 (*.f64 (-.f64 b a) a) b)) (*.f64 b (*.f64 (*.f64 (-.f64 b a) a) b))) |
(+.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b a) a) b)) (*.f64 a (*.f64 (*.f64 (-.f64 b a) a) b))) |
(+.f64 (*.f64 (*.f64 (-.f64 b a) b) (*.f64 a b)) (*.f64 (*.f64 (-.f64 b a) a) (*.f64 a b))) |
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) a) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) b)) |
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) b) (*.f64 (*.f64 (*.f64 (-.f64 b a) a) b) a)) |
(+.f64 (*.f64 (*.f64 a b) (*.f64 (-.f64 b a) b)) (*.f64 (*.f64 a b) (*.f64 (-.f64 b a) a))) |
(+.f64 (*.f64 (*.f64 a b) (*.f64 b b)) (*.f64 (*.f64 a b) (*.f64 (neg.f64 a) a))) |
(+.f64 (*.f64 (*.f64 b b) (*.f64 a b)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a b))) |
Compiled 17 160 to 2 248 computations (86.9% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 14 | 563 |
| Fresh | 13 | 3 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 566 | 18 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| 94.0% | (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b) | |
| ▶ | 99.7% | (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
| 60.7% | (/.f64 (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) a)) b) | |
| 88.5% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) #s(approx (* (- b a) (* (* b a) 2)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 b (/.f64 b a)))) a) a))) | |
| 90.4% | (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) (+.f64 a b)))) #s(literal 2 binary64)) | |
| 87.9% | (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (+.f64 a b))) #s(literal 2 binary64)) | |
| 86.0% | (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) | |
| 60.8% | (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b b))) | |
| ▶ | 56.1% | (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
| 55.9% | #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b)))) | |
| 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b))) | |
| 64.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) | |
| ✓ | 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
| 60.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) | |
| ▶ | 58.3% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
| 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) | |
| ▶ | 59.1% | #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))) |
| ▶ | 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
Compiled 925 to 630 computations (31.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.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 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) | |
| cost-diff | 0 | #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (PI.f64) (*.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) | |
| cost-diff | 0 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) | |
| cost-diff | 0 | (*.f64 (*.f64 a a) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 297 |
| 0 | 75 | 297 |
| 1 | 151 | 291 |
| 2 | 425 | 287 |
| 3 | 1572 | 287 |
| 4 | 7650 | 287 |
| 0 | 8169 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 a b) |
a |
b |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
#s(literal 2 binary64) |
(*.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 #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 |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 (PI.f64) (*.f64 a b)) |
(PI.f64) |
(*.f64 a b) |
b |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(PI.f64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 (PI.f64) b) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 b a) a)) |
(/.f64 (PI.f64) (+.f64 a b)) |
(/.f64 (PI.f64) (+.f64 b a)) |
(PI.f64) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a b) |
(*.f64 b a) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.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 |
(PI.f64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) a) |
#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) |
b |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)) #s(literal 2 binary64)) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b) |
(PI.f64) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 2 binary64) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(PI.f64) |
a |
(/.f64 (PI.f64) b) |
b |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) | |
| accuracy | 0.2578125 | (/.f64 (PI.f64) a) | |
| accuracy | 0.26171875 | (/.f64 (PI.f64) b) | |
| accuracy | 26.635040055265236 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) | |
| accuracy | 0.4978306819625981 | (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) | |
| accuracy | 7.320073767737825 | (*.f64 (*.f64 b b) a) | |
| accuracy | 25.05501175474316 | #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) | |
| accuracy | 0.49806540452348025 | (/.f64 (PI.f64) (*.f64 a b)) | |
| accuracy | 22.374301783463324 | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) | |
| accuracy | 0.17578125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) | |
| accuracy | 0.35692318831372843 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) | |
| accuracy | 6.986899754809383 | (*.f64 (*.f64 a a) b) | |
| accuracy | 22.374301783463324 | #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))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 2 binary64) (*.f64 a b)) | |
| accuracy | 0.1875 | (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) | |
| accuracy | 0.265625 | (/.f64 (PI.f64) (+.f64 a b)) |
| 108.0ms | 256× | 0 | valid |
Compiled 249 to 46 computations (81.5% saved)
ival-div: 63.0ms (70.7% of total)ival-mult: 18.0ms (20.2% of total)ival-sub: 4.0ms (4.5% of total)ival-pi: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 #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 a a) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (*.f64 b b) a) |
(/.f64 (PI.f64) b) |
(/.f64 (PI.f64) 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) 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)) |
b |
(+ a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(/ 1/2 a) |
(/ (PI) (* a b)) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (PI) (pow a 2)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow a 2)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* 2 (* a b)) |
(* a (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/ (+ (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) |
a |
(* a (+ 1 (/ b a))) |
(/ (PI) (* (pow a 2) b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(* -1 (/ (PI) (* a b))) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (+ (* -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 (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 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) 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 (/ (* 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 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* -1 (/ (PI) a)) (/ (* b (PI)) (pow a 2))) b) |
(/ (- (/ (* b (PI)) a) (PI)) 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)) |
(/ (+ (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) |
(* b (+ 1 (/ a b))) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1 (/ (PI) (* a b))) (/ (PI) (pow a 2))) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (+ (* -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 (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 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | a | @ | -inf | ((/ (/ (PI) (+ a b)) (* 2 (* a b))) (/ (PI) (+ a b)) (PI) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* 2 (* a b)) (* (* b b) a) (/ (PI) b) (/ (PI) a)) |
| 4.0ms | b | @ | -inf | ((/ (/ (PI) (+ a b)) (* 2 (* a b))) (/ (PI) (+ a b)) (PI) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* 2 (* a b)) (* (* b b) a) (/ (PI) b) (/ (PI) a)) |
| 4.0ms | a | @ | inf | ((/ (/ (PI) (+ a b)) (* 2 (* a b))) (/ (PI) (+ a b)) (PI) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* 2 (* a b)) (* (* b b) a) (/ (PI) b) (/ (PI) a)) |
| 4.0ms | a | @ | 0 | ((/ (/ (PI) (+ a b)) (* 2 (* a b))) (/ (PI) (+ a b)) (PI) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* 2 (* a b)) (* (* b b) a) (/ (PI) b) (/ (PI) a)) |
| 4.0ms | b | @ | inf | ((/ (/ (PI) (+ a b)) (* 2 (* a b))) (/ (PI) (+ a b)) (PI) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 (* (* a a) b)) (PI)) (/ 1/2 (* (* a a) b)) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ 1/2 a) (/ (PI) (* a b))) (/ 1/2 a) (/ (PI) (* a b)) (/ (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) 2) (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/ (PI) (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* 2 (* a b)) (* (* b b) a) (/ (PI) b) (/ (PI) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 1406 |
| 1 | 1109 | 1326 |
| 2 | 3957 | 1292 |
| 0 | 8553 | 1259 |
| 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) 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)) |
b |
(+ a b) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(/ 1/2 (* (pow a 2) b)) |
(* (pow a 2) b) |
(/ 1/2 a) |
(/ (PI) (* a b)) |
(/ (PI) (* a (pow b 2))) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/ (PI) (pow a 2)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow a 2)) |
(/ (PI) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(* 2 (* a b)) |
(* a (pow b 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/ (+ (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) |
a |
(* a (+ 1 (/ b a))) |
(/ (PI) (* (pow a 2) b)) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(* -1 (/ (PI) (* a b))) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a) |
(* -1 (/ (PI) b)) |
(- (/ (PI) a) (/ (PI) b)) |
(/ (+ (* -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 (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 (* a (- (* -1 (/ b a)) 1))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) 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 (/ (* 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 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/ (+ (* -1 (/ (PI) a)) (/ (* b (PI)) (pow a 2))) b) |
(/ (- (/ (* b (PI)) a) (PI)) 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)) |
(/ (+ (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) |
(* b (+ 1 (/ a b))) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(+ (* -1 (/ (PI) (* a b))) (/ (PI) (pow a 2))) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(/ (+ (* -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 (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 (* b (- (* -1 (/ a b)) 1))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
| Outputs |
|---|
(* 1/2 (/ (PI) (* a (pow b 2)))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)) a) |
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a) |
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) 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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a) |
(/ (PI) b) |
(/.f64 (PI.f64) b) |
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b)) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b) |
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b)) |
b |
(+ a b) |
(+.f64 b a) |
(* 1/2 (/ (PI) (* (pow a 2) b))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(/ 1/2 (* (pow a 2) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (PI) (* a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/ (PI) (* a (pow b 2))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/ (+ (* -1 (/ (* a (PI)) (pow b 3))) (/ (PI) (pow b 2))) a) |
(/.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b) b) a) |
(/ (+ (* a (- (/ (* a (PI)) (pow b 4)) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a) |
(/ (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 5))) (* -1 (/ (PI) (pow b 4))))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a) |
(* -1/2 (/ (PI) (pow a 3))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) (pow.f64 a #s(literal 3 binary64))) |
(/ (PI) (pow a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) (pow a 2)) |
(/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) a) a) |
(/ (PI) a) |
(/.f64 (PI.f64) a) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) a) |
(* 2 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) a) a) |
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) a) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a)) |
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a) |
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64)) a) |
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a) |
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) a) (*.f64 (PI.f64) b)) a))) a) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 (/.f64 b a) a a) |
(/ (PI) (* (pow a 2) b)) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)) a) a) |
(/ (- (+ (/ (PI) b) (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)) (*.f64 a a)) |
(/ (- (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 3))) (/ (PI) b)) (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) b)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)) (*.f64 a a)) |
(* -1 (/ (PI) (* a b))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 b a)) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) a) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) a) |
(* -1 (/ (PI) b)) |
(/.f64 (neg.f64 (PI.f64)) b) |
(- (/ (PI) a) (/ (PI) b)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) a) a) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)))) a)) (neg.f64 a))) a) a) |
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))) a) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a)) a) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) b) b)) a)) a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)) (/ (PI) b)) (pow a 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a) (/.f64 (PI.f64) b)) a) a) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (/ (PI) b)) (pow a 2)) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64)) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)) (*.f64 a a)) |
(* -1 (/ (+ (* -1 (/ (PI) a)) (/ (PI) b)) a)) |
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64) (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b) |
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) b (*.f64 (/.f64 (PI.f64) (*.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 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b) |
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a) |
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) (/.f64 (PI.f64) (*.f64 a a))) b (/.f64 (PI.f64) a)) |
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (PI.f64) (*.f64 a a))) b (/.f64 (PI.f64) a)) |
(/ (+ (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2))) b) |
(/.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a) a) b) |
(/ (+ (* b (- (/ (* b (PI)) (pow a 4)) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (PI.f64) (*.f64 a a))) b) |
(/ (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 5))) (* -1 (/ (PI) (pow a 4))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) b (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (PI.f64) (*.f64 a a))) b) |
(/ (+ (* -1 (/ (PI) a)) (/ (* b (PI)) (pow a 2))) b) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) a) b) |
(/ (- (/ (* b (PI)) a) (PI)) b) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) b) |
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b)) |
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) b)) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b))) (*.f64 b b)) |
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b) |
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) b) |
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b) |
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) b) (*.f64 (PI.f64) a)) b))) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(/ (+ (* -1 (/ (PI) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b) b) |
(/ (- (+ (/ (PI) a) (/ (* a (PI)) (pow b 2))) (/ (PI) b)) (pow b 2)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)) (*.f64 b b)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 3))) (/ (PI) a)) (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)) (*.f64 b b)) |
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(+ (* -1 (/ (PI) (* a b))) (/ (PI) (pow a 2))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) a) |
(+ (* -1 (/ (PI) b)) (/ (PI) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) |
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) b)) 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 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)))) b)) (neg.f64 b))) (*.f64 b b)) |
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b)) b) |
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (PI.f64) (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b) #s(literal -1 binary64) (*.f64 (*.f64 a a) (PI.f64))) b)) b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) b) (/.f64 (PI.f64) a)) (*.f64 b b)) |
(/ (+ (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (PI)) b)) (* a (PI))) b))) b)) (/ (PI) a)) (pow b 2)) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) b) #s(literal -1 binary64) (/.f64 (PI.f64) a)) (*.f64 b b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 263 |
| 0 | 75 | 263 |
| 1 | 279 | 253 |
| 0 | 2338 | 253 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (PI.f64) (+.f64 a b)) |
(PI.f64) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (/.f64 #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 a a) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 #s(literal 1/2 binary64) a) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(*.f64 (*.f64 b b) a) |
(/.f64 (PI.f64) b) |
(/.f64 (PI.f64) a) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64)) b) a) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64)) a) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 b a)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64)) (*.f64 b a)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 b a)) (*.f64 #s(literal -2 binary64) (*.f64 b a))) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 b a)))) |
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal -2 binary64) (*.f64 b a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b)) |
(*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 b a))) |
(/.f64 (PI.f64) (+.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (+.f64 b a))) |
(PI.f64) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (-.f64 b a)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(+.f64 b a) |
(+.f64 a b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) a) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) a) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (PI.f64)) b) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (PI.f64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)) b) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (neg.f64 a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)) (neg.f64 b)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 a (*.f64 (neg.f64 a) b)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (neg.f64 a) b)))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) b))) |
(*.f64 (*.f64 b (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (neg.f64 a) b) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) b)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 b a) a) |
(*.f64 b (*.f64 a a)) |
(*.f64 a (*.f64 b a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) b) (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) a) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) a) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 a a)) b) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) (*.f64 a a)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) a)) b) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (PI.f64)) b) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal -1/2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (PI.f64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)) b) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) a)) b) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b a))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 a) b) a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 b a) (neg.f64 a))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 a a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 (neg.f64 a) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64))) (*.f64 a (*.f64 (neg.f64 a) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (*.f64 b a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 1/2 binary64)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (*.f64 a a) b)) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 a)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1/2 binary64) a) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a))) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (/.f64 (PI.f64) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) (neg.f64 b)) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 a) b)) |
(/.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 b a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 b a))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 (neg.f64 a) b))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)))) #s(literal -2 binary64)) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal -2 binary64))) |
#s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b b)) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 b b))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b a))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 b b))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 b b) a))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 b b) a))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) b) b)) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 b (*.f64 (neg.f64 a) b)))) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 b (*.f64 (neg.f64 a) b))) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 b b) a))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 (neg.f64 a) b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) a))) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (neg.f64 a)) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (fabs.f64 a)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a)) |
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) a)) |
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (neg.f64 a)) (neg.f64 a)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (fabs.f64 a)) (fabs.f64 a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a)) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (neg.f64 a)) |
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) #s(literal 1/2 binary64)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (*.f64 a a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) #s(literal 1/2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) a)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) a) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 (/.f64 (PI.f64) a) a)) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)))) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 (PI.f64) (*.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 (/.f64 (PI.f64) a) a) (fma.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 (PI.f64) (*.f64 b a)) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 (PI.f64) (*.f64 b a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))) (neg.f64 (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) a) (*.f64 a (/.f64 (PI.f64) b))) (*.f64 a a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) a)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (neg.f64 a)) |
(/.f64 (fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64))) (*.f64 (*.f64 a a) b)) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) a)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 (PI.f64) (*.f64 b a))) |
(/.f64 (/.f64 (fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64))) b) a) |
(/.f64 (/.f64 (fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64))) a) b) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) b) (*.f64 (neg.f64 a) (PI.f64))) (*.f64 (neg.f64 a) b)) |
(/.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 b)) (*.f64 a (neg.f64 (PI.f64)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 b (PI.f64) (*.f64 (neg.f64 a) (PI.f64))) (*.f64 b a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 b (PI.f64)) (*.f64 b a)) (/.f64 (*.f64 a (PI.f64)) (*.f64 b a))) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(*.f64 (*.f64 #s(literal 2 binary64) b) a) |
(*.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 b a)) |
(*.f64 b (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a (*.f64 b #s(literal 2 binary64))) |
(*.f64 a (+.f64 b b)) |
(/.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (-.f64 (*.f64 b a) (*.f64 b a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b a) (*.f64 #s(literal 1 binary64) (*.f64 b a))) |
(fma.f64 (*.f64 b a) #s(literal 1 binary64) (*.f64 (*.f64 b a) #s(literal 1 binary64))) |
(fma.f64 b a (*.f64 b a)) |
(fma.f64 a b (*.f64 b a)) |
(-.f64 (*.f64 b a) (*.f64 (neg.f64 a) b)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 #s(literal 1 binary64) (*.f64 b a))) |
(+.f64 (*.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) #s(literal 1 binary64))) |
(+.f64 (*.f64 b a) (*.f64 b a)) |
(*.f64 (*.f64 a (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 (neg.f64 a) b) (neg.f64 b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 a) b)) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 (*.f64 b a) b) |
(*.f64 b (*.f64 b a)) |
(*.f64 a (*.f64 b b)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b)) |
(/.f64 (PI.f64) b) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b)) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 b))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a)) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a)) |
(/.f64 (PI.f64) a) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a)) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 a))) |
Compiled 9 924 to 1 246 computations (87.4% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 6 | 311 |
| Fresh | 2 | 10 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 309 | 20 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| 94.0% | (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) a)) b) | |
| 99.7% | (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a (+.f64 b b))) | |
| 60.7% | (/.f64 (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) a)) b) | |
| 88.5% | (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) #s(approx (* (- b a) (* (* b a) 2)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 b (/.f64 b a)))) a) a))) | |
| 90.4% | (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) (+.f64 a b)))) #s(literal 2 binary64)) | |
| 87.9% | (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (+.f64 a b))) #s(literal 2 binary64)) | |
| 86.0% | (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) | |
| 98.6% | (/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) | |
| 60.8% | (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b b))) | |
| ✓ | 56.1% | (/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
| 55.9% | #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b)))) | |
| 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b))) | |
| 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 b a))) | |
| 64.6% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) | |
| ✓ | 59.1% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
| 60.4% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) | |
| 64.5% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) | |
| ✓ | 59.1% | #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))) |
| 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) b) a))) | |
| ✓ | 64.9% | #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
Compiled 2 001 to 633 computations (68.4% saved)
| Inputs |
|---|
#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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) 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) a) (PI.f64)) (*.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b))) |
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b)))) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a (+.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (neg.f64 (PI.f64)) b))) (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (PI.f64) #s(approx (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) a)))) #s(literal 2 binary64)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 (PI.f64) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b))) b) a)) |
(/.f64 (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) a)) b) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b (*.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))) |
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 a (+.f64 b b))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal 2 binary64)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) a) b)) |
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) a) (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) #s(approx (* (- b a) (* (* b a) 2)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 b (/.f64 b a)))) a) a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (+.f64 a b))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) 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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (-.f64 b a)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Outputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a (+.f64 b b))) |
3 calls:
| 52.0ms | b |
| 15.0ms | (*.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))) |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 99.7% | 1 | a |
| 99.7% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 a (+.f64 b b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 a b)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) 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) a) (PI.f64)) (*.f64 b a))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) (*.f64 a b))) |
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (*.f64 b b)))) |
(/.f64 #s(approx (* (PI) (* (/ (/ (- b a) a) b) (/ (/ 1 (+ a b)) (- b a)))) (/.f64 (PI.f64) (*.f64 (*.f64 b b) a))) #s(literal 2 binary64)) |
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) |
| Outputs |
|---|
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
3 calls:
| 5.0ms | 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 |
|---|---|---|
| 98.6% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 98.6% | 1 | a |
| 98.6% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
3 calls:
| 14.0ms | (*.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 | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 2 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 86.3% | 3 | a |
| 89.0% | 3 | b |
Compiled 23 to 19 computations (17.4% saved)
| Inputs |
|---|
#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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | b |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#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))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
| Outputs |
|---|
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
3 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 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))) |
| 64.5% | 1 | a |
| 64.5% | 1 | b |
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 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
| Outputs |
|---|
#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))) |
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 | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
| 59.1% | 1 | a |
| 59.1% | 1 | b |
Compiled 23 to 19 computations (17.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 25355.609020039523 | 8388169920791742000.0 |
| 18.0ms | -6995276851528762000.0 | -921496590370.8096 |
| 39.0ms | 304× | 0 | valid |
Compiled 1 392 to 1 008 computations (27.6% saved)
ival-div: 20.0ms (63.9% of total)ival-mult: 7.0ms (22.4% of total)ival-sub: 3.0ms (9.6% of total)ival-pi: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 25355.609020039523 | 8388169920791742000.0 |
| 1.0ms | -6995276851528762000.0 | -921496590370.8096 |
Compiled 1 392 to 1 008 computations (27.6% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 246 |
| 1 | 91 | 234 |
| 2 | 192 | 234 |
| 3 | 688 | 234 |
| 4 | 4581 | 234 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a (+.f64 b b))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(if (<=.f64 b #s(literal -135000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) (if (<=.f64 b #s(literal 225000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))))) |
(if (<=.f64 b #s(literal -135000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) (if (<=.f64 b #s(literal 225000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#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))) |
| Outputs |
|---|
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a (+.f64 b b))) |
(/.f64 (PI.f64) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a))) |
(if (<=.f64 b #s(literal -135000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) (if (<=.f64 b #s(literal 225000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.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 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))))) |
(if (or (<=.f64 b #s(literal -135000000000000 binary64)) (not (<=.f64 b #s(literal 225000000000000000 binary64)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a b) a)))) |
(if (<=.f64 b #s(literal -135000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) (if (<=.f64 b #s(literal 225000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))))) |
(if (or (<=.f64 b #s(literal -135000000000000 binary64)) (not (<=.f64 b #s(literal 225000000000000000 binary64)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (- (* (/ (PI) b) a) (PI)) -1/2) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64)))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a)) (PI.f64))) |
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64))) |
| 1× | fuel |
Compiled 246 to 60 computations (75.6% saved)
Compiled 534 to 150 computations (71.9% saved)
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