
Time bar (total: 18.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 3.0s | 15 442× | 0 | invalid |
| 1.8s | 8 256× | 0 | valid |
ival-mult: 1.5s (46.7% of total)ival-div: 1.1s (33% of total)ival-acos: 366.0ms (11.3% of total)ival-sqrt: 203.0ms (6.3% of total)exact: 50.0ms (1.5% of total)ival-true: 20.0ms (0.6% of total)ival-assert: 11.0ms (0.3% of total)adjust: 8.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 1 | (2.1295231773643447e-202 -6.934154655049225e+112 -1.5600774050567017e-109 3.2680210493857175e-201) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 18 | 0 | - | 1 | (-2.375858675114782e-26 -2.6300448418846604e+24 -6.46737476896318e+265 1.6128533376484025e+156) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | u/n | 19 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 61 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 61 | |
*.f64 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | n*u | 17 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 36 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 36 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 89.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-acos: 30.0ms (48.4% of total)ival-mult: 15.0ms (24.2% of total)ival-div: 11.0ms (17.8% of total)ival-sqrt: 4.0ms (6.5% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 246 |
| 1 | 259 | 212 |
| 2 | 897 | 184 |
| 3 | 3309 | 184 |
| 4 | 3881 | 184 |
| 5 | 4428 | 184 |
| 6 | 5423 | 184 |
| 7 | 7558 | 184 |
| 8 | 7773 | 184 |
| 9 | 7913 | 184 |
| 0 | 18 | 17 |
| 0 | 29 | 17 |
| 1 | 50 | 15 |
| 2 | 129 | 13 |
| 3 | 401 | 13 |
| 4 | 1320 | 13 |
| 5 | 2813 | 13 |
| 6 | 3117 | 13 |
| 7 | 3806 | 13 |
| 0 | 8352 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(sort y z)
Compiled 19 to 18 computations (5.3% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 2 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 29 | 86 |
| 1 | 50 | 76 |
| 2 | 129 | 68 |
| 3 | 401 | 68 |
| 4 | 1320 | 68 |
| 5 | 2813 | 68 |
| 6 | 3117 | 68 |
| 7 | 3806 | 68 |
| 0 | 8352 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
x |
(*.f64 y #s(literal 27 binary64)) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
x |
(*.f64 y #s(literal 27 binary64)) |
(*.f64 #s(literal 27 binary64) y) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| accuracy | 0.984375 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| accuracy | 4.031773102331918 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | |
| accuracy | 4.612039659465471 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 49.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-div: 18.0ms (50.1% of total)ival-mult: 7.0ms (19.5% of total)ival-sqrt: 7.0ms (19.5% of total)ival-acos: 2.0ms (5.6% 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 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 4.0ms | y | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 3.0ms | x | @ | inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 3.0ms | x | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 2.0ms | t | @ | -inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 63 |
| 1 | 63 | 60 |
| 2 | 198 | 58 |
| 3 | 728 | 58 |
| 4 | 2524 | 58 |
| 5 | 4527 | 58 |
| 6 | 5420 | 58 |
| 7 | 6319 | 58 |
| 8 | 6431 | 58 |
| 9 | 6435 | 58 |
| 10 | 6983 | 58 |
| 0 | 8249 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 63 | 42 |
| 2 | 240 | 36 |
| 3 | 1461 | 36 |
| 0 | 8680 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) z)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z)) (/.f64 x #s(literal 54 binary64))) |
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z)) |
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z)) |
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal -27 binary64)) z)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal -3 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (/.f64 x #s(literal 54 binary64)) z)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x y) #s(literal -54 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) #s(literal -3/2 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) (/.f64 #s(literal -3 binary64) z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (neg.f64 (/.f64 x #s(literal 54 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (/.f64 x #s(literal 54 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (/.f64 x #s(literal -54 binary64))) |
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(*.f64 (/.f64 x y) (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) z) (sqrt.f64 t))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) (sqrt.f64 t))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) #s(literal 54 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (neg.f64 (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal -3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3/2 binary64) z) (sqrt.f64 t))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) |
(*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) z) y))) |
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) #s(literal 2 binary64)) (sqrt.f64 t))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) (sqrt.f64 t))) |
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) z) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) #s(literal 27 binary64)) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) y) (*.f64 #s(literal 27 binary64) z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal 27 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) y) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal -27 binary64)) |
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal -27 binary64)) |
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) y) |
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal 27 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) #s(literal 54 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal -27 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 27 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) y) #s(literal -54 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 27 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) y) #s(literal 54 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) #s(literal 27 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) y) (*.f64 #s(literal -54 binary64) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y)) (*.f64 #s(literal -54 binary64) z)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)))) (*.f64 (*.f64 z y) #s(literal -27 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) #s(literal -27 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal -54 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))) y) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -54 binary64) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) z) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -54 binary64) z) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal -2 binary64) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal 54 binary64) y))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 2 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(fma.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t))))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t)))) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t))))) |
Compiled 10 344 to 2 334 computations (77.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 3 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 3 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 97.1% | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
| ▶ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 128 to 71 computations (44.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 514 |
| 0 | 79 | 514 |
| 1 | 142 | 512 |
| 2 | 375 | 510 |
| 3 | 1249 | 510 |
| 4 | 5094 | 510 |
| 0 | 8205 | 510 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.42578125 | (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.265625 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.829424028380739 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.863336183033817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 113.0ms | 256× | 0 | valid |
Compiled 506 to 51 computations (89.9% saved)
ival-mult: 33.0ms (36.8% of total)ival-div: 18.0ms (20.1% of total)const: 10.0ms (11.2% of total)ival-pow: 8.0ms (8.9% of total)ival-acos: 7.0ms (7.8% of total)ival-pow2: 5.0ms (5.6% of total)ival-asin: 2.0ms (2.2% of total)ival-sub: 2.0ms (2.2% of total)ival-sqrt: 2.0ms (2.2% 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 |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (/.f64 x y) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* (sqrt t) (/ 1 (* y z))) |
(* -1/18 (sqrt t)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (pow (/ (PI) 2) 4)) |
| 11.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (pow (/ (PI) 2) 4)) |
| 11.0ms | x | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (pow (/ (PI) 2) 4)) |
| 10.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (pow (/ (PI) 2) 4)) |
| 10.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (pow (/ (PI) 2) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 591 |
| 1 | 188 | 547 |
| 2 | 573 | 537 |
| 3 | 2535 | 537 |
| 4 | 6917 | 537 |
| 0 | 8244 | 535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* (sqrt t) (/ 1 (* y z))) |
(* -1/18 (sqrt t)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y)) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* -1/18 (sqrt t)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y)) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 302 |
| 0 | 79 | 302 |
| 1 | 255 | 300 |
| 2 | 1480 | 298 |
| 0 | 8358 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (/.f64 x y) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) |
(*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 z y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x)) y) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x)) y) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) |
(*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/2 binary64))) |
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))))) |
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
Compiled 67 244 to 2 672 computations (96% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 5 | 657 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 0 | 0 |
| Total | 655 | 5 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
| ▶ | 99.4% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 99.4% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 97.6% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
| ▶ | 98.5% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 904 to 378 computations (58.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1806 |
| 0 | 204 | 1806 |
| 1 | 372 | 1798 |
| 2 | 861 | 1796 |
| 3 | 2494 | 1796 |
| 4 | 7452 | 1796 |
| 0 | 8127 | 1796 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) |
(/.f64 (sqrt.f64 t) (*.f64 z y)) |
(sqrt.f64 t) |
t |
(*.f64 z y) |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 x z) #s(literal -1/18 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
(neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/16 binary64) |
(/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal -1/18 binary64) |
(sqrt.f64 t) |
t |
z |
(/.f64 x y) |
x |
y |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (PI.f64) (PI.f64)) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 z y) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) |
(/.f64 (sqrt.f64 t) (*.f64 z y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(sqrt.f64 t) |
t |
(*.f64 z y) |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64)))) |
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z |
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x |
y |
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#s(literal 1/3 binary64) |
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#s(literal 4 binary64) |
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(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) |
(*.f64 (PI.f64) (PI.f64)) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 1.0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 1.0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 7.484979293289912 | (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) | |
| accuracy | 0.98046875 | (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (PI.f64) #s(literal 4 binary64)) | |
| accuracy | 5.851727696051918 | (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) | |
| accuracy | 0.265625 | (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 3.484905289634751 | (/.f64 (sqrt.f64 t) (*.f64 z y)) | |
| accuracy | 3.863336183033817 | (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 4.937435440996981 | (/.f64 x (*.f64 z y)) |
| 397.0ms | 256× | 0 | valid |
Compiled 1 725 to 104 computations (94% saved)
ival-mult: 106.0ms (35.3% of total)ival-acos: 88.0ms (29.3% of total)ival-div: 26.0ms (8.7% of total)ival-pow: 22.0ms (7.3% of total)ival-pow2: 22.0ms (7.3% of total)const: 10.0ms (3.3% of total)ival-sub: 7.0ms (2.3% of total)ival-add: 6.0ms (2% of total)ival-asin: 5.0ms (1.7% of total)ival-sqrt: 4.0ms (1.3% of total)ival-pi: 1.0ms (0.3% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% 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 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) |
(/.f64 (sqrt.f64 t) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(sqrt.f64 (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
| Outputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(asin (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | t | @ | inf | ((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) (* (* (/ (sqrt t) (* z y)) x) 1/18) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (pow (/ (PI) 2) 3) (sqrt (PI)) (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4))) |
| 32.0ms | z | @ | 0 | ((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) (* (* (/ (sqrt t) (* z y)) x) 1/18) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (pow (/ (PI) 2) 3) (sqrt (PI)) (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4))) |
| 11.0ms | t | @ | -inf | ((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) (* (* (/ (sqrt t) (* z y)) x) 1/18) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (pow (/ (PI) 2) 3) (sqrt (PI)) (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4))) |
| 9.0ms | x | @ | -inf | ((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) (* (* (/ (sqrt t) (* z y)) x) 1/18) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (pow (/ (PI) 2) 3) (sqrt (PI)) (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4))) |
| 9.0ms | y | @ | -inf | ((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* z y)) x) 1/18)) (* (* (/ (sqrt t) (* z y)) x) 1/18) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (neg (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (pow (acos (* (* (/ x z) -1/18) (/ (sqrt t) y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (pow (/ (PI) 2) 3) (sqrt (PI)) (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1102 |
| 1 | 228 | 988 |
| 2 | 728 | 961 |
| 3 | 2860 | 961 |
| 4 | 7369 | 961 |
| 0 | 8210 | 951 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(asin (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
| Outputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(asin (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (* 1/16 (pow (PI) 4))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1033 |
| 0 | 204 | 1018 |
| 1 | 648 | 1010 |
| 2 | 3343 | 1010 |
| 0 | 8231 | 1010 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) |
(/.f64 (sqrt.f64 t) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(sqrt.f64 (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)))) |
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (/.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
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(*.f64 (*.f64 (PI.f64) (PI.f64)) (fabs.f64 (/.f64 (PI.f64) #s(literal 8 binary64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (fabs.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))) |
(*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (PI.f64)))) (PI.f64)) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) (PI.f64)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (PI.f64))) (neg.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) |
(*.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fabs.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (PI.f64) (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(*.f64 (PI.f64) (fabs.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (log.f64 (PI.f64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 4 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 (PI.f64)) (log.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(log.f64 (pow.f64 (exp.f64 (neg.f64 (PI.f64))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (PI.f64))))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
Compiled 98 398 to 3 857 computations (96.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 868 | 7 | 875 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 872 | 8 | 880 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) | |
| ▶ | 99.1% | (/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
| ▶ | 99.1% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 99.4% | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| 99.1% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) | |
| ▶ | 96.8% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
| ▶ | 99.1% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
| ✓ | 98.5% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 1 807 to 762 computations (57.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) | |
| cost-diff | 1 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 2608 |
| 0 | 240 | 2595 |
| 1 | 460 | 2588 |
| 2 | 1054 | 2576 |
| 3 | 3472 | 2564 |
| 0 | 8307 | 2564 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 (PI.f64) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 x z) #s(literal -1/18 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
(acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 x y) #s(literal -1/18 binary64)) |
(/.f64 x y) |
(/.f64 (sqrt.f64 t) z) |
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
#s(literal 2 binary64) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 x y) #s(literal -1/18 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1/16 binary64) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 x y) #s(literal -1/18 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 (PI.f64) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)) |
(asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 x y) #s(literal -1/18 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) #s(literal 3 binary64)))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 (PI.f64) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
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#s(literal 2 binary64) |
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(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 (PI.f64) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
(neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (/.f64 x y) #s(literal -1/18 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(/.f64 (/.f64 x y) z) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 7.557769852071744 | (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) | |
| accuracy | 1.0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 7.484979293289912 | (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) | |
| accuracy | 7.557769852071744 | (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) | |
| accuracy | 0.9765625 | (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (PI.f64) #s(literal 4 binary64)) | |
| accuracy | 7.557769852071744 | (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 1.0 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) | |
| accuracy | 5.851727696051918 | (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) | |
| accuracy | 7.557769852071744 | (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 3.9784312391337586 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) | |
| accuracy | 4.591197170586375 | (/.f64 (/.f64 x y) z) | |
| accuracy | 4.937435440996981 | (/.f64 x (*.f64 z y)) |
| 365.0ms | 256× | 0 | valid |
Compiled 2 372 to 116 computations (95.1% saved)
ival-div: 59.0ms (24.3% of total)ival-mult: 55.0ms (22.6% of total)ival-pow: 33.0ms (13.6% of total)const: 32.0ms (13.2% of total)ival-asin: 16.0ms (6.6% of total)ival-acos: 12.0ms (4.9% of total)ival-sub: 10.0ms (4.1% of total)ival-pow2: 10.0ms (4.1% of total)ival-add: 9.0ms (3.7% of total)ival-sqrt: 4.0ms (1.6% of total)ival-neg: 2.0ms (0.8% of total)ival-pi: 1.0ms (0.4% of total)exact: 1.0ms (0.4% 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) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((* (* (PI) (PI)) (/ (PI) 8)) (* (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (+ (* (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) (acos (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) (neg (* (* (/ x y) -1/18) (/ (sqrt t) z))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 3) (pow (PI) 4) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (sqrt (PI))) |
| 12.0ms | x | @ | 0 | ((* (* (PI) (PI)) (/ (PI) 8)) (* (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (+ (* (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) (acos (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) (neg (* (* (/ x y) -1/18) (/ (sqrt t) z))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 3) (pow (PI) 4) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (sqrt (PI))) |
| 10.0ms | t | @ | -inf | ((* (* (PI) (PI)) (/ (PI) 8)) (* (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (+ (* (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) (acos (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) (neg (* (* (/ x y) -1/18) (/ (sqrt t) z))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 3) (pow (PI) 4) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (sqrt (PI))) |
| 10.0ms | y | @ | -inf | ((* (* (PI) (PI)) (/ (PI) 8)) (* (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (+ (* (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) (acos (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) (neg (* (* (/ x y) -1/18) (/ (sqrt t) z))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 3) (pow (PI) 4) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (sqrt (PI))) |
| 10.0ms | z | @ | inf | ((* (* (PI) (PI)) (/ (PI) 8)) (* (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) (acos (* (* (/ x z) -1/18) (/ (sqrt t) y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ x z) -1/18) (/ (sqrt t) y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (/ (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) 2))) (* (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3)) (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (+ (* (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) (acos (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) (neg (* (* (/ x y) -1/18) (/ (sqrt t) z))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 3)) 1/3) (- (* (* (PI) (PI)) (pow (/ (sqrt (PI)) 2) 4)) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (/ x (* z y)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (pow (PI) 3) (pow (PI) 4) (* (/ (* -1/18 (sqrt t)) z) (/ x y)) (pow (/ (PI) 2) 4) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) 3)) 1/3) (sqrt (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1149 |
| 1 | 220 | 1065 |
| 2 | 789 | 1009 |
| 3 | 4137 | 1009 |
| 0 | 8614 | 993 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
| Outputs |
|---|
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))) |
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1370 |
| 0 | 240 | 1344 |
| 1 | 851 | 1322 |
| 2 | 4354 | 1322 |
| 0 | 8214 | 1316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (neg.f64 (PI.f64))) (neg.f64 (PI.f64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (PI.f64)) (PI.f64)) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64))) |
(*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) |
(*.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (PI.f64))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64)) |
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) |
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(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (PI.f64)) |
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(*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) |
(pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (PI.f64))))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (+.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 9 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 9 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 6 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
Compiled 107 542 to 4 150 computations (96.1% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 819 | 5 | 824 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 824 | 8 | 832 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) | |
| ✓ | 99.4% | (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| 99.1% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) | |
| 98.3% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) | |
| 96.8% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) | |
| 96.7% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) | |
| 99.1% | #s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) | |
| ✓ | 98.5% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 3 377 to 689 computations (79.6% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
13 calls:
| 10.0ms | y |
| 7.0ms | (*.f64 z #s(literal 2 binary64)) |
| 6.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 5.0ms | z |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (sqrt.f64 t) |
| 99.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.4% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.4% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.4% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.4% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.4% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.4% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | z |
| 99.4% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
13 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (sqrt.f64 t) |
| 99.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
| 99.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
13 calls:
| 67.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 6.0ms | z |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | y |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (sqrt.f64 t) |
| 99.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | z |
| 99.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Total -1.6b remaining (-166.3%)
Threshold costs -1.6b (-166.3%)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (acos.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
13 calls:
| 30.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | t |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (sqrt.f64 t) |
| 98.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.5% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.5% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.5% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.5% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.5% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.5% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 395 |
| 1 | 199 | 395 |
| 2 | 436 | 395 |
| 3 | 1297 | 395 |
| 4 | 5251 | 395 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (asin (* (/ (* -1/18 (sqrt t)) z) (/ x y))) (acos (* (/ (* -1/18 (sqrt t)) z) (/ x y)))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1102 |
| 1 | 228 | 988 |
| 2 | 728 | 961 |
| 3 | 2860 | 961 |
| 4 | 7369 | 961 |
| 0 | 8210 | 951 |
| 0 | 121 | 1033 |
| 0 | 204 | 1018 |
| 1 | 648 | 1010 |
| 2 | 3343 | 1010 |
| 0 | 8231 | 1010 |
| 0 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 63 | 42 |
| 2 | 240 | 36 |
| 3 | 1461 | 36 |
| 0 | 8680 | 36 |
| 0 | 29 | 63 |
| 1 | 63 | 60 |
| 2 | 198 | 58 |
| 3 | 728 | 58 |
| 4 | 2524 | 58 |
| 5 | 4527 | 58 |
| 6 | 5420 | 58 |
| 7 | 6319 | 58 |
| 8 | 6431 | 58 |
| 9 | 6435 | 58 |
| 10 | 6983 | 58 |
| 0 | 8249 | 58 |
| 0 | 82 | 591 |
| 1 | 188 | 547 |
| 2 | 573 | 537 |
| 3 | 2535 | 537 |
| 4 | 6917 | 537 |
| 0 | 8244 | 535 |
| 0 | 51 | 302 |
| 0 | 79 | 302 |
| 1 | 255 | 300 |
| 2 | 1480 | 298 |
| 0 | 8358 | 298 |
| 0 | 136 | 1370 |
| 0 | 240 | 1344 |
| 1 | 851 | 1322 |
| 2 | 4354 | 1322 |
| 0 | 8214 | 1316 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 397 to 128 computations (67.8% saved)
(sort y z)
Compiled 1 034 to 398 computations (61.5% saved)
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