
Time bar (total: 13.5s)
| 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)
| 2.9s | 15 596× | 0 | invalid |
| 1.4s | 8 256× | 0 | valid |
ival-mult: 1.2s (40.6% of total)ival-div: 1.1s (38.4% of total)ival-acos: 324.0ms (11.1% of total)ival-sqrt: 210.0ms (7.2% of total)exact: 46.0ms (1.6% of total)ival-true: 17.0ms (0.6% of total)ival-assert: 10.0ms (0.3% of total)adjust: 8.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 5 | (-1.0057016714014768e-272 6.738833252369026e+43 2.800163257760013e-107 8.068302574525666e+252) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 15 | 0 | - | 3 | (-1.218456750631455e+61 -1.143994459586684e+231 -5.614171384010489e+150 245564.80059002744) | (*.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 | 18 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 47 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 47 | |
*.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 | 12 | 0 |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | o/n | 1 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | overflow | 1 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 30 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 30 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 260.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-mult: 201.0ms (85.2% of total)ival-acos: 15.0ms (6.4% of total)ival-div: 14.0ms (5.9% of total)ival-sqrt: 4.0ms (1.7% of total)exact: 1.0ms (0.4% 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 | 0.24609375 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| accuracy | 0.96875 | (*.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 | 3.231701476280575 | (*.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 | 4.911115779611312 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 60.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-sqrt: 26.0ms (62.2% of total)ival-mult: 7.0ms (16.7% of total)ival-div: 6.0ms (14.4% of total)ival-acos: 2.0ms (4.8% 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 | |
|---|---|---|---|---|
| 5.0ms | 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 | 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 | @ | 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))) |
| 2.0ms | 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))) |
| 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))) |
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(*.f64 #s(literal -3 binary64) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (/.f64 (sqrt.f64 t) #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 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)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 529 | 4 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 530 | 4 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (*.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)))) |
| ▶ | 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 97.5% | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
| ▶ | 97.2% | #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 155 to 95 computations (38.7% saved)
| 1× | egg-herbie |
Found 16 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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 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 | 59 | 628 |
| 0 | 95 | 628 |
| 1 | 166 | 618 |
| 2 | 420 | 608 |
| 3 | 1307 | 608 |
| 4 | 5134 | 608 |
| 0 | 8249 | 608 |
| 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 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.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 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.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))) #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 (-.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 16 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 | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.878729606900312 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.26400375976844204 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.96875 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| accuracy | 3.231701476280575 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 5.399496917120444 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.40072250976844204 | (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) | |
| accuracy | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.878729606900312 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.28353500976844204 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.96875 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 3.3928482762960837 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.669207881822668 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 167.0ms | 256× | 0 | valid |
Compiled 592 to 54 computations (90.9% saved)
ival-div: 31.0ms (25.2% of total)ival-mult: 23.0ms (18.7% of total)const: 23.0ms (18.7% of total)ival-acos: 20.0ms (16.3% of total)ival-pow: 13.0ms (10.6% of total)ival-pow2: 4.0ms (3.3% of total)ival-asin: 2.0ms (1.6% of total)ival-sub: 2.0ms (1.6% of total)ival-sqrt: 2.0ms (1.6% of total)ival-pi: 1.0ms (0.8% of total)ival-add: 1.0ms (0.8% of total)exact: 1.0ms (0.8% 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 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.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) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(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)) |
(* 1/18 (/ 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 | |
|---|---|---|---|---|
| 32.0ms | 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) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4)) |
| 26.0ms | 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) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4)) |
| 16.0ms | 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) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4)) |
| 14.0ms | 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) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (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) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (* (- (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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (pow (/ (PI) 2) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 598 |
| 1 | 192 | 554 |
| 2 | 589 | 544 |
| 3 | 2555 | 544 |
| 4 | 7024 | 544 |
| 0 | 8320 | 542 |
| 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)) |
(* 1/18 (/ 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 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(* 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)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* (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 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 1/3 binary64)) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) |
(* 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 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) (*.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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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) (/.f64 (sqrt.f64 t) z)) y) x)) #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) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 | 59 | 385 |
| 0 | 95 | 385 |
| 1 | 283 | 377 |
| 2 | 1564 | 369 |
| 0 | 8256 | 369 |
| 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 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.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) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(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))))))) |
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(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal -3 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.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 75 080 to 3 481 computations (95.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 817 | 4 | 821 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 820 | 5 | 825 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (*.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)))) |
| ▶ | 98.4% | (*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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)))) |
| ▶ | 98.0% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 96.5% | #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))))) |
| ✓ | 97.2% | #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 410 to 200 computations (51.2% saved)
| 1× | egg-herbie |
Found 16 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 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 | #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| 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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1569 |
| 0 | 176 | 1569 |
| 1 | 307 | 1555 |
| 2 | 787 | 1547 |
| 3 | 2258 | 1547 |
| 4 | 6239 | 1547 |
| 0 | 8415 | 1547 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 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) (/.f64 (sqrt.f64 t) z)) y) x)) #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)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) |
#s(literal 1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#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)))) |
(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)) |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(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 (/.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)) |
| 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 (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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #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 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 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 (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #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))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) |
(asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)) |
(*.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))) |
(acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.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 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #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 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #s(literal 2 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))) |
(neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #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)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #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)) |
(pow.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x z) y) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.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) z) #s(literal 1/18 binary64)) y) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.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) z) #s(literal 1/18 binary64)) y) x)) #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 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.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) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (-.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) z) #s(literal 1/18 binary64)) y) x)) #s(literal 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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64))) |
(-.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) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #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)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 x y) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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)) |
(*.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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 (-.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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #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 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 (-.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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) #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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x z) y) |
(*.f64 z y) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))) | |
| accuracy | 4.878729606900312 | (/.f64 (/.f64 x y) z) | |
| accuracy | 5.399496917120444 | (/.f64 x (*.f64 z y)) | |
| accuracy | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 3.3764000537733896 | (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) | |
| accuracy | 4.648391734433277 | (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) | |
| accuracy | 4.878729606900312 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.26400375976844204 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.96875 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| accuracy | 3.231701476280575 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 5.399496917120444 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.9765625 | (*.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 | 6.630687574077908 | (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
| 275.0ms | 256× | 0 | valid |
Compiled 1 385 to 84 computations (93.9% saved)
ival-mult: 37.0ms (23.6% of total)ival-pow: 35.0ms (22.3% of total)ival-add: 24.0ms (15.3% of total)ival-div: 19.0ms (12.1% of total)const: 10.0ms (6.4% of total)ival-pow2: 9.0ms (5.7% of total)ival-acos: 8.0ms (5.1% of total)ival-asin: 5.0ms (3.2% of total)ival-sub: 5.0ms (3.2% of total)ival-sqrt: 2.0ms (1.3% of total)ival-pi: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 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 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))) |
(*.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 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(*.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 x (*.f64 z y))) |
| Outputs |
|---|
(+ (* -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))) (- (* 1/16 (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 (* (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)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 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)) |
(* -1/18 (* (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)))))))) |
(/ x (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* 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))) (- (* 1/16 (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 (* (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)))) |
(* 1/3 (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 (/ (- (* 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)) |
(* 1/18 (* (sqrt t) (/ (* x (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)))))))) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | x | @ | -inf | ((+ (* (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))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* 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))) (/ (* (- (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)) (* (/ (* (- (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)) (* (* (/ 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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (/ (/ x y) z) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (sqrt t) -1/18) (/ x (* z y)))) |
| 48.0ms | z | @ | -inf | ((+ (* (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))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* 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))) (/ (* (- (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)) (* (/ (* (- (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)) (* (* (/ 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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (/ (/ x y) z) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (sqrt t) -1/18) (/ x (* z y)))) |
| 29.0ms | t | @ | inf | ((+ (* (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))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* 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))) (/ (* (- (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)) (* (/ (* (- (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)) (* (* (/ 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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (/ (/ x y) z) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (sqrt t) -1/18) (/ x (* z y)))) |
| 11.0ms | t | @ | -inf | ((+ (* (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))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* 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))) (/ (* (- (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)) (* (/ (* (- (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)) (* (* (/ 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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (/ (/ x y) z) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (sqrt t) -1/18) (/ x (* z y)))) |
| 9.0ms | y | @ | -inf | ((+ (* (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))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* 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))) (/ (* (- (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)) (* (/ (* (- (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)) (* (* (/ 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) (/ x (* z y)) (* (/ x (* z y)) 1/18) (/ (/ x y) z) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (* 1/18 (/ (sqrt t) z)) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (* (sqrt t) -1/18) (/ x (* z y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1002 |
| 1 | 229 | 924 |
| 2 | 713 | 876 |
| 3 | 2637 | 876 |
| 4 | 6391 | 876 |
| 0 | 8165 | 868 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -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))) (- (* 1/16 (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 (* (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)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 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)) |
(* -1/18 (* (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)))))))) |
(/ x (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* 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))) (- (* 1/16 (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 (* (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)))) |
(* 1/3 (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 (/ (- (* 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)) |
(* 1/18 (* (sqrt t) (/ (* x (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)))))))) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
| Outputs |
|---|
(+ (* -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 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 (/ (* (+ (* 1/4 (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 (/ (* (+ (* 1/4 (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 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 (* (+ (* 1/4 (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 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)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 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))) |
(* -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)))))))) |
(*.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)) |
(/ x (* y z)) |
(/.f64 x (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) |
(+ (* -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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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))) (- (* 1/16 (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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 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 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(* 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64))) |
(* 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)) |
(* 1/3 (+ (* 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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 954 |
| 0 | 176 | 954 |
| 1 | 515 | 940 |
| 2 | 3116 | 940 |
| 0 | 8186 | 940 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 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 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))) |
(*.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 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(*.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 x (*.f64 z y))) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64))))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 6 binary64)) (neg.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64))))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))))) (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))) (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 6 binary64))) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) |
(*.f64 (/.f64 x z) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) z) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal -1/18 binary64) x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x z)) y) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 x z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 y z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) |
(*.f64 (/.f64 x z) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) z) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal -1/18 binary64) x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x z)) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x z)) y) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 x z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 x z))) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 y z)) |
Compiled 114 183 to 3 730 computations (96.7% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 763 | 3 | 766 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 766 | 5 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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)))) |
| ✓ | 98.0% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 96.5% | #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 (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))))) |
| ▶ | 98.4% | #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) |
| ✓ | 97.2% | #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 496 to 228 computations (54% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 (*.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 (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 (*.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 (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 | 2 | (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) | |
| 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1636 |
| 0 | 174 | 1618 |
| 1 | 327 | 1618 |
| 2 | 803 | 1618 |
| 3 | 2833 | 1618 |
| 4 | 7739 | 1618 |
| 0 | 8018 | 1618 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
z |
(/.f64 x y) |
x |
y |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) |
(*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (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 (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 (*.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 (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 (*.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)))) |
(*.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 (*.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))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) |
(*.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)) |
#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 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 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) (sqrt.f64 t)) (*.f64 y z)) x)) #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)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 y z) |
y |
z |
x |
#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)))) |
(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)) |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(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 (* (/ (* (- (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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal -1/18 binary64) |
z |
(/.f64 x y) |
x |
y |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) 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 (*.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 (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 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.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 (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 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.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)))) |
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #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 (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.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))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (*.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))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)) |
(*.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))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) |
(*.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 (*.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))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.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)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #s(literal 3 binary64)) |
#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 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 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))) |
(neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #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)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #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)) |
(pow.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) #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 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 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) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) 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)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
x |
#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 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) 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)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) 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)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
#s(literal -1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 x y) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) 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))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal -1/18 binary64) 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)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1472842969432144 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 4.648391734433277 | (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x) | |
| accuracy | 4.878729606900312 | (/.f64 (/.f64 x y) z) | |
| accuracy | 5.5495214898270815 | (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) | |
| accuracy | 0.9765625 | (*.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 | (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (PI.f64) #s(literal 4 binary64)) | |
| accuracy | 6.630687574077908 | (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) | |
| 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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 | 7.905923142089602 | (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
| 241.0ms | 256× | 0 | valid |
Compiled 1 402 to 85 computations (93.9% saved)
ival-div: 46.0ms (22.8% of total)ival-mult: 37.0ms (18.4% of total)ival-asin: 26.0ms (12.9% of total)ival-acos: 25.0ms (12.4% of total)ival-pow: 23.0ms (11.4% of total)ival-pow2: 19.0ms (9.4% of total)const: 10.0ms (5% of total)ival-sub: 6.0ms (3% of total)ival-add: 4.0ms (2% of total)ival-sqrt: 2.0ms (1% of total)ival-pi: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% 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 (* (/ (* (- (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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(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 (*.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 (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 (*.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 (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x 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))))) |
(* 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 (* (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 (/ (- (* 1/8 (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)) |
(* -1/18 (* (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)))))))) |
(/ x (* y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (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 (* (+ (* 1/4 (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 (* (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 (/ (- (* 1/8 (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)) |
(* 1/18 (* (sqrt t) (/ (* x (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)))))))) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | z | @ | -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 y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) (* (* (PI) (PI)) (PI)) (+ (* (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) (- (* (* (* (PI) (PI)) (PI)) 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))) (* (/ (* (- (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) -1/18) z) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (* (+ (* (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)) (* y z)) (/ (/ x y) z) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* (* (sqrt t) -1/18) (/ (/ x y) z))) |
| 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 y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) (* (* (PI) (PI)) (PI)) (+ (* (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) (- (* (* (* (PI) (PI)) (PI)) 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))) (* (/ (* (- (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) -1/18) z) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (* (+ (* (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)) (* y z)) (/ (/ x y) z) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* (* (sqrt t) -1/18) (/ (/ x y) z))) |
| 7.0ms | 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 y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) (* (* (PI) (PI)) (PI)) (+ (* (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) (- (* (* (* (PI) (PI)) (PI)) 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))) (* (/ (* (- (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) -1/18) z) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (* (+ (* (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)) (* y z)) (/ (/ x y) z) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* (* (sqrt t) -1/18) (/ (/ x y) z))) |
| 7.0ms | 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 y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) (* (* (PI) (PI)) (PI)) (+ (* (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) (- (* (* (* (PI) (PI)) (PI)) 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))) (* (/ (* (- (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) -1/18) z) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (* (+ (* (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)) (* y z)) (/ (/ x y) z) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* (* (sqrt t) -1/18) (/ (/ x y) z))) |
| 7.0ms | z | @ | 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 y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (/ (* (sqrt t) -1/18) z) (/ x y))) 3)) (+ (* (acos (* (/ (* (sqrt t) -1/18) z) (/ x y))) (asin (* (/ (* (sqrt t) -1/18) z) (/ x y)))) (* 1/4 (* (PI) (PI))))) (* (* (PI) (PI)) (PI)) (+ (* (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) (- (* (* (* (PI) (PI)) (PI)) 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))) (* (/ (* (- (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) -1/18) z) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (* (/ x z) -1/18) (/ (sqrt t) y)) (* (+ (* (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)) (* y z)) (/ (/ x y) z) (* (/ (* 1/18 (sqrt t)) (* y z)) x) (* (* (sqrt t) -1/18) (/ (/ x y) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1050 |
| 1 | 219 | 969 |
| 2 | 691 | 919 |
| 3 | 2623 | 919 |
| 4 | 6390 | 919 |
| 0 | 8180 | 909 |
| 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 (* (+ (* 1/4 (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 (* (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 (/ (- (* 1/8 (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)) |
(* -1/18 (* (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)))))))) |
(/ x (* y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (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 (* (+ (* 1/4 (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 (* (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 (/ (- (* 1/8 (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)) |
(* 1/18 (* (sqrt t) (/ (* x (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)))))))) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* -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 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 (* (+ (* 1/4 (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 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)))) |
(* (+ (* 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 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 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)))) |
(+ (* -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 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 (/ (* (+ (* 1/4 (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 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))) |
(* -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)))))))) |
(*.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)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) 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 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 (* (+ (* 1/4 (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 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)))) |
(* (+ (* 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 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 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)))) |
(+ (* -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 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 (/ (* (+ (* 1/4 (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 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 (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 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 (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 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 (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 z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))) |
(* 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)) |
(* 1/3 (+ (* 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 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)) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) 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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 982 |
| 0 | 174 | 972 |
| 1 | 605 | 970 |
| 2 | 3691 | 970 |
| 0 | 8180 | 970 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(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 (*.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 (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 (*.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 (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
| 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 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.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 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.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 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64)))) (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.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 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.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 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.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 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 4 binary64))))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))))) |
(+.f64 (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (*.f64 z y))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (neg.f64 y) z))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) z)) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) x) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) x) z) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y))) z) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t)) #s(literal -1/18 binary64)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x z) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 x z) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x z) y)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 x y))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (/.f64 x z) #s(literal -1/18 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) y)) z) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x #s(literal -1/18 binary64))) z) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) x) y) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) y) z) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/18 binary64)) (sqrt.f64 t)) y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y)) |
Compiled 117 471 to 3 751 computations (96.8% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 3 | 704 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 2 | 2 |
| Total | 704 | 5 | 709 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.0% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| 98.0% | #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 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))))) | |
| 96.5% | #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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) | |
| ✓ | 97.2% | #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 2 073 to 447 computations (78.4% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (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 (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 (-.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)))) |
| 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 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
13 calls:
| 47.0ms | t |
| 17.0ms | y |
| 5.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 4.0ms | (*.f64 z #s(literal 2 binary64)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (sqrt.f64 t) |
| 99.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.6% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.6% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.6% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.6% | 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)) |
| 99.6% | 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))) |
| 99.6% | 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)))) |
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (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 (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #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 (-.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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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)))) |
13 calls:
| 17.0ms | (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))) |
| 6.0ms | (*.f64 y #s(literal 27 binary64)) |
| 5.0ms | t |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (sqrt.f64 t) |
| 99.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.2% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.2% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.2% | 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)) |
| 99.2% | 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))) |
| 99.2% | 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)))) |
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (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 (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))))) |
| 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) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) |
13 calls:
| 7.0ms | (*.f64 y #s(literal 27 binary64)) |
| 5.0ms | y |
| 4.0ms | z |
| 3.0ms | (sqrt.f64 t) |
| 3.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (sqrt.f64 t) |
| 98.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.4% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.4% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.4% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.4% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.4% | 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)) |
| 98.4% | 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))) |
| 98.4% | 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)))) |
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
| 98.4% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (PI.f64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(literal -1/18 binary64)) (sqrt.f64 t)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 binary64))))) |
| 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)))) |
13 calls:
| 27.0ms | (sqrt.f64 t) |
| 6.0ms | (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))) |
| 3.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 3.0ms | x |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (sqrt.f64 t) |
| 98.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.1% | 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)) |
| 98.1% | 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))) |
| 98.1% | 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)))) |
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Total -1.3b remaining (-102.2%)
Threshold costs -1.3b (-102.2%)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
13 calls:
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | t |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | x |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (sqrt.f64 t) |
| 98.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.0% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.0% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.0% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.0% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.0% | 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)) |
| 98.0% | 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))) |
| 98.0% | 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)))) |
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 394 |
| 1 | 170 | 394 |
| 2 | 362 | 394 |
| 3 | 1045 | 394 |
| 4 | 4360 | 394 |
| 1× | node 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 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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)))) |
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| 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 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)) #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)))) |
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y)))) #s(literal 2 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 (pow.f64 #s(literal 3 binary64) #s(literal -1 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 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 385 |
| 0 | 95 | 385 |
| 1 | 283 | 377 |
| 2 | 1564 | 369 |
| 0 | 8256 | 369 |
| 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 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 63 | 42 |
| 2 | 240 | 36 |
| 3 | 1461 | 36 |
| 0 | 8680 | 36 |
| 0 | 105 | 954 |
| 0 | 176 | 954 |
| 1 | 515 | 940 |
| 2 | 3116 | 940 |
| 0 | 8186 | 940 |
| 0 | 83 | 598 |
| 1 | 192 | 554 |
| 2 | 589 | 544 |
| 3 | 2555 | 544 |
| 4 | 7024 | 544 |
| 0 | 8320 | 542 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 394 to 116 computations (70.6% saved)
(sort y z)
Compiled 1 188 to 420 computations (64.6% saved)
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