
Time bar (total: 14.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 3.2s | 15 647× | 0 | invalid |
| 1.3s | 8 256× | 0 | valid |
ival-div: 1.1s (40.3% of total)ival-mult: 1.0s (36.7% of total)ival-sqrt: 295.0ms (10.6% of total)ival-acos: 260.0ms (9.4% of total)exact: 45.0ms (1.6% of total)ival-true: 20.0ms (0.7% of total)ival-assert: 10.0ms (0.4% of total)adjust: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 4 | (7.887092854786169e-241 -2.6601469572987695e+82 -7.056814837454031e-43 9.569322227499678e-116) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 19 | 0 | - | 5 | (1.3636241367004868e-249 6.649500850363917e-200 -5.972407563605891e+260 1.1011981063437892e+246) | (*.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 | 1 | (7.887092854786169e-241 -2.6601469572987695e+82 -7.056814837454031e-43 9.569322227499678e-116) | 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 | 58 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 57 | |
*.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 | 14 | 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 y #s(literal 27 binary64)) | overflow | 2 | |
| ↳ | (/.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 | |
*.f64 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 33 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 33 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 88.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-mult: 15.0ms (38.7% of total)ival-div: 14.0ms (36.2% of total)ival-sqrt: 4.0ms (10.3% of total)ival-acos: 4.0ms (10.3% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | 0.26171875 | (*.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 | 3.5226090079912167 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 4.059340446176752 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 28.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 7.0ms (41% of total)ival-div: 5.0ms (29.3% of total)ival-sqrt: 2.0ms (11.7% of total)ival-acos: 2.0ms (11.7% 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 | |
|---|---|---|---|---|
| 145.0ms | y | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 3.0ms | x | @ | inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 3.0ms | x | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 2.0ms | t | @ | -inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
| 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)) |
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(*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) |
(*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) #s(literal 54 binary64))) (neg.f64 z))) |
(*.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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 5 | 533 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 529 | 5 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.2% | (*.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 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 96.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
| ▶ | 98.2% | (*.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)))) |
| ▶ | 96.0% | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
| ▶ | 97.7% | #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 344 to 224 computations (34.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 | (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) | |
| cost-diff | 2 | (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) | |
| 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))) | |
| 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)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 697 |
| 0 | 112 | 691 |
| 1 | 198 | 681 |
| 2 | 525 | 671 |
| 3 | 1697 | 671 |
| 4 | 5834 | 671 |
| 0 | 8235 | 671 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 |
#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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) |
x |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(sqrt.f64 t) |
t |
#s(literal 3/2 binary64) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
z |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 |
|---|
(*.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 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x))))) |
(/.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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x))) |
#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) z) y) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) 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 |
#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)) |
(*.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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #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 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) |
x |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal 3/2 binary64) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
z |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.25390625 | (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) | |
| accuracy | 0.43687994741316827 | (*.f64 z (*.f64 #s(literal 27 binary64) y)) | |
| accuracy | 0.96875 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) | |
| accuracy | 9.490804530158636 | (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) | |
| accuracy | 0.40462875976844204 | (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.28744125976844204 | (*.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 | 3.032824479523482 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.6416059737885624 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.30078125 | (*.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 | 4.059340446176752 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 6.054262801396202 | (/.f64 x (*.f64 z y)) |
| 128.0ms | 256× | 0 | valid |
Compiled 665 to 62 computations (90.7% saved)
ival-mult: 32.0ms (33.2% of total)ival-div: 19.0ms (19.7% of total)ival-pow: 12.0ms (12.4% of total)ival-acos: 9.0ms (9.3% of total)const: 9.0ms (9.3% of total)ival-pow2: 7.0ms (7.3% of total)ival-asin: 2.0ms (2.1% of total)ival-sub: 2.0ms (2.1% of total)ival-sqrt: 2.0ms (2.1% of total)ival-pi: 1.0ms (1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #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)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (/.f64 x y) z) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 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)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 27 (* y z)) |
(* -1/18 (sqrt t)) |
(* 3/2 (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)))) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | inf | ((/ 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)) (* (/ 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) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* (/ 1 3) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* (/ (* (- (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)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* z (* 27 y)) (* (sqrt t) 3/2) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3)) |
| 13.0ms | t | @ | inf | ((/ 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)) (* (/ 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) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* (/ 1 3) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* (/ (* (- (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)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* z (* 27 y)) (* (sqrt t) 3/2) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3)) |
| 11.0ms | x | @ | 0 | ((/ 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)) (* (/ 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) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* (/ 1 3) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* (/ (* (- (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)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* z (* 27 y)) (* (sqrt t) 3/2) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3)) |
| 10.0ms | t | @ | -inf | ((/ 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)) (* (/ 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) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* (/ 1 3) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* (/ (* (- (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)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* z (* 27 y)) (* (sqrt t) 3/2) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3)) |
| 9.0ms | y | @ | -inf | ((/ 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)) (* (/ 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) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* (/ 1 3) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* (/ (* (- (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)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* z (* 27 y)) (* (sqrt t) 3/2) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 611 |
| 1 | 205 | 567 |
| 2 | 616 | 557 |
| 3 | 2601 | 557 |
| 4 | 7038 | 557 |
| 0 | 8334 | 555 |
| 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)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 27 (* y z)) |
(* -1/18 (sqrt t)) |
(* 3/2 (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)))) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
| 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 #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 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.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 (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.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 (* 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 (* 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))) |
(/ 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) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* 27 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 27 binary64)) |
(* -1/18 (sqrt t)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(* 3/2 (sqrt t)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) |
(* 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 #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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) |
(* 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) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 439 |
| 0 | 112 | 433 |
| 1 | 320 | 425 |
| 2 | 1722 | 417 |
| 0 | 8193 | 417 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (/.f64 x y) z) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) (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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #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 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 27 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3/2 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) z) (/.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -27 binary64) y))) |
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(*.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 (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))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(/.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
Compiled 73 573 to 3 799 computations (94.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 849 | 4 | 853 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 853 | 5 | 858 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.8% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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)))) |
| ▶ | 98.8% | (*.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)))) |
| ▶ | 96.9% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
| ▶ | 98.2% | (*.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)))) |
| ✓ | 97.7% | #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 257 to 153 computations (40.5% 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (- (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 | (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) | |
| cost-diff | 2 | (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) | |
| 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)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1094 |
| 0 | 131 | 1096 |
| 1 | 246 | 1080 |
| 2 | 639 | 1072 |
| 3 | 2011 | 1072 |
| 4 | 5321 | 1072 |
| 0 | 8003 | 1072 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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(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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
#s(literal 1/3 binary64) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) |
x |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(sqrt.f64 t) |
t |
#s(literal 3/2 binary64) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
z |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
(*.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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64)) |
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal -1/18 binary64) |
(sqrt.f64 t) |
t |
x |
(*.f64 z y) |
z |
y |
#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)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(/.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 |
|---|
(*.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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)))) #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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x))) |
#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) z) y) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) 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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) |
x |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal 3/2 binary64) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
z |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
(*.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 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 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 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 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))) |
(/.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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#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))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 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))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 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 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 3 binary64)) |
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal -1/18 binary64) |
(sqrt.f64 t) |
t |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) #s(literal 2 binary64)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
(/.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))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 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))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) (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 | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 9.297921687877974 | (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) | |
| accuracy | 3.034370909267737 | (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.657879641186102 | (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.25390625 | (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) | |
| accuracy | 0.43687994741316827 | (*.f64 z (*.f64 #s(literal 27 binary64) y)) | |
| accuracy | 0.96875 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) | |
| accuracy | 9.490804530158636 | (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) | |
| accuracy | 0.30078125 | (*.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 | 4.059340446176752 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 6.054262801396202 | (/.f64 x (*.f64 z y)) |
| 187.0ms | 256× | 0 | valid |
Compiled 988 to 72 computations (92.7% saved)
ival-mult: 62.0ms (40.8% of total)ival-pow: 37.0ms (24.4% of total)ival-div: 18.0ms (11.8% of total)const: 10.0ms (6.6% of total)ival-acos: 7.0ms (4.6% of total)ival-asin: 5.0ms (3.3% of total)ival-sub: 4.0ms (2.6% of total)ival-pow2: 4.0ms (2.6% of total)ival-sqrt: 2.0ms (1.3% of total)ival-pi: 1.0ms (0.7% of total)ival-add: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #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 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 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 #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(*.f64 (*.f64 (sqrt.f64 t) #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 x y) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(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)))) |
(* 1/18 (/ x (* y z))) |
(* 3/2 (* (sqrt t) x)) |
(* 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)) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 27 (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(* 3/2 (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)))) |
(* -3/2 (* (sqrt t) (* x (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)) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
(* 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 | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | ((* 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)) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* 1/3 (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* x (* (sqrt t) 3/2)) (* (/ (* (- (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* z (* 27 y)) (* (sqrt t) 3/2) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (/ x y) z) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (* (* -1/18 (sqrt t)) x) (* z y)) (pow (/ (PI) 2) 4)) |
| 23.0ms | z | @ | 0 | ((* 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)) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* 1/3 (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* x (* (sqrt t) 3/2)) (* (/ (* (- (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* z (* 27 y)) (* (sqrt t) 3/2) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (/ x y) z) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (* (* -1/18 (sqrt t)) x) (* z y)) (pow (/ (PI) 2) 4)) |
| 7.0ms | t | @ | -inf | ((* 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)) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* 1/3 (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* x (* (sqrt t) 3/2)) (* (/ (* (- (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* z (* 27 y)) (* (sqrt t) 3/2) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (/ x y) z) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (* (* -1/18 (sqrt t)) x) (* z y)) (pow (/ (PI) 2) 4)) |
| 6.0ms | z | @ | -inf | ((* 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)) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* 1/3 (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* x (* (sqrt t) 3/2)) (* (/ (* (- (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* z (* 27 y)) (* (sqrt t) 3/2) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (/ x y) z) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (* (* -1/18 (sqrt t)) x) (* z y)) (pow (/ (PI) 2) 4)) |
| 6.0ms | t | @ | inf | ((* 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)) (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))) (* 1/3 (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y))))) (acos (/ (* x (* (sqrt t) 3/2)) (* z (* 27 y)))) (* x (* (sqrt t) 3/2)) (* (/ (* (- (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* z (* 27 y)) (* (sqrt t) 3/2) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (* 1/18 (/ (sqrt t) z)) y) x) (/ (/ x y) z) (/ (* 1/18 (/ (sqrt t) z)) y) (/ (* (* -1/18 (sqrt t)) x) (* z y)) (pow (/ (PI) 2) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 565 |
| 1 | 203 | 525 |
| 2 | 599 | 501 |
| 3 | 2447 | 501 |
| 4 | 5994 | 501 |
| 0 | 8031 | 499 |
| 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)))) |
(* 1/18 (/ x (* y z))) |
(* 3/2 (* (sqrt t) x)) |
(* 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)) |
(/ x (* y z)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* 27 (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(* 3/2 (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)))) |
(* -3/2 (* (sqrt t) (* x (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)) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) |
(* 3/2 (* (sqrt t) x)) |
(*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(* 27 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 27 binary64)) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)) |
(* 3/2 (sqrt t)) |
(*.f64 #s(literal 3/2 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 y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)) |
(* -3/2 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) |
(* 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) z) #s(literal 1/18 binary64)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x 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 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) |
(* -3/2 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 634 |
| 0 | 131 | 636 |
| 1 | 415 | 620 |
| 2 | 2174 | 612 |
| 0 | 8127 | 612 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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)))) |
(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 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 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 #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) |
(*.f64 (*.f64 (sqrt.f64 t) #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 x y) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 27 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 z y)) (/.f64 (sqrt.f64 t) #s(literal 27 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 27 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) y) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 27 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 z #s(literal 27 binary64))) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 27 binary64) y)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) z) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 (*.f64 z #s(literal 27 binary64)))) (/.f64 #s(literal -3/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 27 binary64)))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 z)) (/.f64 #s(literal -3/2 binary64) (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 #s(literal -27 binary64) y)) (/.f64 #s(literal -3/2 binary64) z)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 z #s(literal 27 binary64)))) (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) y)) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal -27 binary64) y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3/2 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) z) (/.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -27 binary64) y))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 z y)) (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 27 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 27 binary64)) (/.f64 (/.f64 #s(literal 3/2 binary64) z) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 z y))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (*.f64 #s(literal -27 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (*.f64 z y)) (/.f64 x #s(literal 27 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 z #s(literal 27 binary64))) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) z) (/.f64 x (*.f64 #s(literal -27 binary64) y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) (*.f64 #s(literal 27 binary64) y)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) (*.f64 z #s(literal 27 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) #s(literal 27 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y)) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (neg.f64 z))) |
(*.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) (/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 27 binary64)) (/.f64 x z)) (/.f64 #s(literal 3/2 binary64) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 27 binary64)) (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) y) (/.f64 (/.f64 x z) #s(literal 27 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) y) (/.f64 x (*.f64 z #s(literal 27 binary64)))) |
(*.f64 (/.f64 x (*.f64 z #s(literal 27 binary64))) (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) z) (/.f64 (/.f64 x #s(literal 27 binary64)) y)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 27 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 z y))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 z #s(literal 27 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3/2 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -27 binary64) y) z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) z) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x) y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3/2 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) x) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z)))) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) z)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 z y)) (/.f64 (sqrt.f64 t) #s(literal 27 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 27 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 z y))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 3/2 binary64) (*.f64 z #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 z #s(literal 27 binary64))) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 27 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3/2 binary64) z)) |
(*.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -27 binary64) y)) (/.f64 (sqrt.f64 t) z)) |
(*.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 (sqrt.f64 t) z) (/.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -27 binary64) y))) |
(*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) z)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))) (neg.f64 (*.f64 (*.f64 #s(literal -27 binary64) y) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) z) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) (*.f64 (*.f64 #s(literal -27 binary64) y) z)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) y) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal -1/18 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal -1/18 binary64) x) y)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64))) |
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal -1/18 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z)))) |
(/.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) y) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) y) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) |
(*.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 (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 3 binary64)) (/.f64 (PI.f64) #s(literal 2 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 (/.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)) |
(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 108 435 to 4 076 computations (96.2% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 088 | 5 | 1 093 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 091 | 7 | 1 098 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
| ▶ | 97.0% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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)))) |
| ▶ | 96.8% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
| ▶ | 97.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
| ✓ | 98.2% | (*.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)))) |
| ▶ | 98.2% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
| ✓ | 97.7% | #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 762 to 396 computations (48% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) | |
| cost-diff | 0 | (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) | |
| cost-diff | 1 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) | |
| cost-diff | 1 | (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) | |
| cost-diff | 1 | (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) | |
| cost-diff | 31 | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))) | |
| cost-diff | 0 | #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1796 |
| 0 | 182 | 1793 |
| 1 | 351 | 1783 |
| 2 | 966 | 1705 |
| 3 | 3083 | 1705 |
| 0 | 8555 | 1701 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
x |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
#s(literal 1/18 binary64) |
(*.f64 z y) |
z |
y |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) |
(*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(PI.f64) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
#s(literal 1/18 binary64) |
y |
x |
(*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 (PI.f64) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64)) |
(asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(/.f64 (*.f64 x #s(literal -1/18 binary64)) z) |
(*.f64 x #s(literal -1/18 binary64)) |
x |
#s(literal -1/18 binary64) |
z |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
#s(literal 3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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)) |
(/.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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64)) |
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) |
#s(literal -1/18 binary64) |
(sqrt.f64 t) |
t |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z 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) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(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))) |
(asin.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 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(/.f64 (*.f64 x #s(literal -1/18 binary64)) z) |
(*.f64 x #s(literal -1/18 binary64)) |
x |
#s(literal -1/18 binary64) |
z |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
(asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #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 #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 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 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 #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 #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)) |
#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 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
#s(literal 1/18 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t))) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) |
x |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
#s(literal 1/18 binary64) |
(*.f64 z y) |
z |
y |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (+.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(*.f64 (+.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(PI.f64) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(+.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
#s(literal 1/18 binary64) |
y |
x |
(*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #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 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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)))) |
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(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64))))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) 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) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x) |
(/.f64 (*.f64 x #s(literal -1/18 binary64)) z) |
(/.f64 (*.f64 #s(literal -1/18 binary64) x) z) |
(*.f64 x #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) x) |
x |
#s(literal -1/18 binary64) |
z |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
(asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64)))) #s(literal 1/3 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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 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)))) |
#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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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 (/.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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x 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)) |
#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)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
#s(literal 1/18 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) 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 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.034370909267737 | (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) | |
| accuracy | 3.657879641186102 | (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) | |
| accuracy | 7.11784250451742 | (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 9.297921687877974 | (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 3.468474780054822 | (/.f64 (/.f64 x y) z) | |
| accuracy | 3.97718311812218 | (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) | |
| accuracy | 7.11784250451742 | (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) | |
| accuracy | 0.96875 | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) | |
| accuracy | 3.034370909267737 | (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) | |
| accuracy | 3.657879641186102 | (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) | |
| accuracy | 41.02725883193074 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) | |
| accuracy | 0.782973325039018 | (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) | |
| accuracy | 0.96875 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) | |
| accuracy | 4.059340446176752 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) | |
| accuracy | 5.928513683409751 | (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
| 395.0ms | 134× | 2 | valid |
| 229.0ms | 116× | 1 | valid |
| 5.0ms | 6× | 0 | valid |
Compiled 1 696 to 98 computations (94.2% saved)
ival-mult: 134.0ms (26% of total)adjust: 86.0ms (16.7% of total)ival-pow: 70.0ms (13.6% of total)ival-div: 65.0ms (12.6% of total)ival-acos: 32.0ms (6.2% of total)ival-pow2: 31.0ms (6% of total)const: 26.0ms (5% of total)ival-asin: 23.0ms (4.5% of total)ival-sub: 22.0ms (4.3% of total)ival-add: 14.0ms (2.7% of total)ival-sqrt: 7.0ms (1.4% of total)ival-neg: 3.0ms (0.6% of total)ival-pi: 2.0ms (0.4% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 x y) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
| 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)))) |
(* 1/18 (/ x (* y z))) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(/ x (* y z)) |
(/ 1/18 (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* 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)))) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (* (+ (* 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)) |
(+ (* 1/4 (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))))))) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 120.0ms | t | @ | -inf | ((* 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)) (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x))))) (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 1/3 (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))))) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 3)) (neg (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (* (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (* 1/3 (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (- (pow (/ (PI) 2) 4) (pow (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 2))))) (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* x -1/18) z) (/ (sqrt t) y)) (* x (/ 1/18 (* z y))) (/ 1/18 (* z y)) (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)) (* (/ (* (/ (sqrt t) z) 1/18) y) x) (/ (* (/ (sqrt t) z) 1/18) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (/ (/ x y) z) (pow (/ (PI) 2) 4) (/ (* (* -1/18 (sqrt t)) x) (* z y))) |
| 56.0ms | x | @ | inf | ((* 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)) (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x))))) (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 1/3 (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))))) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 3)) (neg (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (* (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (* 1/3 (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (- (pow (/ (PI) 2) 4) (pow (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 2))))) (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* x -1/18) z) (/ (sqrt t) y)) (* x (/ 1/18 (* z y))) (/ 1/18 (* z y)) (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)) (* (/ (* (/ (sqrt t) z) 1/18) y) x) (/ (* (/ (sqrt t) z) 1/18) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (/ (/ x y) z) (pow (/ (PI) 2) 4) (/ (* (* -1/18 (sqrt t)) x) (* z y))) |
| 39.0ms | y | @ | inf | ((* 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)) (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x))))) (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 1/3 (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))))) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 3)) (neg (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (* (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (* 1/3 (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (- (pow (/ (PI) 2) 4) (pow (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 2))))) (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* x -1/18) z) (/ (sqrt t) y)) (* x (/ 1/18 (* z y))) (/ 1/18 (* z y)) (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)) (* (/ (* (/ (sqrt t) z) 1/18) y) x) (/ (* (/ (sqrt t) z) 1/18) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (/ (/ x y) z) (pow (/ (PI) 2) 4) (/ (* (* -1/18 (sqrt t)) x) (* z y))) |
| 26.0ms | x | @ | -inf | ((* 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)) (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x))))) (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 1/3 (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))))) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 3)) (neg (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (* (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (* 1/3 (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (- (pow (/ (PI) 2) 4) (pow (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 2))))) (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* x -1/18) z) (/ (sqrt t) y)) (* x (/ 1/18 (* z y))) (/ 1/18 (* z y)) (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)) (* (/ (* (/ (sqrt t) z) 1/18) y) x) (/ (* (/ (sqrt t) z) 1/18) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (/ (/ x y) z) (pow (/ (PI) 2) 4) (/ (* (* -1/18 (sqrt t)) x) (* z y))) |
| 18.0ms | z | @ | 0 | ((* 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)) (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x))))) (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 1/3 (/ (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (* 2 (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))))) (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 3)) (neg (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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))) (/ (* (+ (* (* (PI) (PI)) (/ (PI) 8)) (pow (asin (neg (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (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 (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (/ (* (* -1/18 (sqrt t)) x) (* z y))) 3)) (* (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (* 1/3 (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (- (pow (/ (PI) 2) 4) (pow (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) 2))))) (+ (* (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (asin (* (/ (* x -1/18) z) (/ (sqrt t) y)))) (pow (/ (PI) 2) 2)) (acos (* (/ (* x -1/18) z) (/ (sqrt t) y))) (* (/ (* x -1/18) z) (/ (sqrt t) y)) (* x (/ 1/18 (* z y))) (/ 1/18 (* z y)) (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)) (* (/ (* (/ (sqrt t) z) 1/18) y) x) (/ (* (/ (sqrt t) z) 1/18) y) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (/ (/ x y) z) (pow (/ (PI) 2) 4) (/ (* (* -1/18 (sqrt t)) x) (* z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1421 |
| 1 | 337 | 1321 |
| 2 | 1145 | 1189 |
| 3 | 5487 | 1189 |
| 0 | 8508 | 1161 |
| 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)))) |
(* 1/18 (/ x (* y z))) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(/ x (* y z)) |
(/ 1/18 (* y z)) |
(* 1/18 (* (sqrt t) (/ 1 (* 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)))) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/3 (/ (* (+ (* 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)) |
(+ (* 1/4 (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))))))) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))))) (PI.f64)) #s(literal 1/2 binary64)) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (PI.f64))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(fma.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64) (PI.f64)) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))))) (PI.f64))) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ x (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1/3 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 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (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 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ 1/18 (* y z)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(* 1/18 (* (sqrt t) (/ 1 (* y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)) |
(* 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) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(* 1/2 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))))) (PI.f64)) #s(literal 1/2 binary64)) |
(- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))) (PI.f64))) |
(* 2 (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64) (PI.f64)) |
(* 1/6 (/ (- (* (PI) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))))) (PI.f64)) #s(literal 1/6 binary64)) |
(+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) |
(* 1/3 (/ (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (+ (* 1/8 (pow (PI) 3)) (pow (asin (neg (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1/3 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x 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))))))) |
(fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) |
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 837 |
| 0 | 182 | 836 |
| 1 | 642 | 806 |
| 2 | 4153 | 806 |
| 0 | 8196 | 804 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
(fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 x y) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 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 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x))))) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)) |
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(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (neg.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) (neg.f64 y))) z) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (sqrt.f64 t)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y)) z) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x) y) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y) (neg.f64 z)) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 (neg.f64 y) z)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) y)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64))) |
(*.f64 x (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.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 z) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.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 (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 (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 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fabs.f64 (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) (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 (/.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 (fabs.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(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))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64))) |
(*.f64 x (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 z y))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.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 z) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
Compiled 81 402 to 4 001 computations (95.1% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 859 | 3 | 862 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 863 | 6 | 869 |
| Status | Accuracy | Program |
|---|---|---|
| 96.8% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| 99.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) | |
| 97.3% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) | |
| ✓ | 98.2% | (*.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)))) |
| ✓ | 98.2% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
| ✓ | 97.7% | #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 1 358 to 401 computations (70.5% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (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)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
#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 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(*.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) (/.f64 #s(approx (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) (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 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 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 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #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)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (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 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
13 calls:
| 22.0ms | z |
| 7.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 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))) |
| 5.0ms | y |
| 5.0ms | t |
| 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)
Total -2.7b remaining (-229.7%)
Threshold costs -2.7b (-229.7%)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (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)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
#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 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))))) |
(*.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) (/.f64 #s(approx (- (* (PI) (+ (/ (PI) 2) (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)))) (* 2 (- (pow (/ (PI) 2) 2) (pow (acos (* (/ (* (/ (sqrt t) z) 1/18) y) x)) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
13 calls:
| 46.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (sqrt.f64 t) |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | (sqrt.f64 t) |
| 98.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.2% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.2% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.2% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.2% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.2% | 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)) |
| 98.2% | 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))) |
| 98.2% | 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)))) |
| 98.2% | 1 | x |
| 98.2% | 1 | y |
| 98.2% | 1 | z |
| 98.2% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 100 |
| 1 | 72 | 100 |
| 2 | 132 | 100 |
| 3 | 252 | 100 |
| 4 | 502 | 100 |
| 5 | 818 | 100 |
| 6 | 1124 | 100 |
| 7 | 3262 | 100 |
| 8 | 7187 | 100 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) (sqrt.f64 t)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 837 |
| 0 | 182 | 836 |
| 1 | 642 | 806 |
| 2 | 4153 | 806 |
| 0 | 8196 | 804 |
| 0 | 81 | 634 |
| 0 | 131 | 636 |
| 1 | 415 | 620 |
| 2 | 2174 | 612 |
| 0 | 8127 | 612 |
| 0 | 67 | 439 |
| 0 | 112 | 433 |
| 1 | 320 | 425 |
| 2 | 1722 | 417 |
| 0 | 8193 | 417 |
| 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 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 100 to 45 computations (55% saved)
(sort y z)
Compiled 422 to 218 computations (48.3% saved)
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