
Time bar (total: 30.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 2.6s | 15 128× | 0 | invalid |
| 1.4s | 8 256× | 0 | valid |
ival-div: 1.2s (46.3% of total)ival-mult: 869.0ms (32.6% of total)ival-sqrt: 313.0ms (11.7% of total)ival-acos: 177.0ms (6.6% of total)exact: 42.0ms (1.6% of total)ival-true: 18.0ms (0.7% of total)ival-assert: 10.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 5 | (-4.883513143239877e-289 -1.3947683004450784e+34 3.2557896909175606e-248 1.7265198412272263e-37) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 11 | 0 | - | 3 | (4.120837851816028e-288 -5.063872055362705e-234 -6.186584813842627e+258 1.5584334238842113e+85) | (*.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 | (-4.883513143239877e-289 -1.3947683004450784e+34 3.2557896909175606e-248 1.7265198412272263e-37) | 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 | 56 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 55 | |
*.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 | 8 | 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 - | |
|---|---|---|
| + | 2 | 0 |
| - | 26 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 26 | 0 | 228 |
| number | freq |
|---|---|
| 0 | 228 |
| 1 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 104.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-mult: 20.0ms (43.7% of total)ival-div: 13.0ms (28.4% of total)ival-sqrt: 5.0ms (10.9% of total)ival-acos: 5.0ms (10.9% of total)ival-true: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 246 |
| 1 | 275 | 212 |
| 2 | 967 | 184 |
| 3 | 3633 | 184 |
| 4 | 4322 | 184 |
| 5 | 5222 | 184 |
| 6 | 6504 | 184 |
| 0 | 18 | 17 |
| 0 | 29 | 17 |
| 1 | 49 | 15 |
| 2 | 127 | 13 |
| 3 | 394 | 13 |
| 4 | 1401 | 13 |
| 5 | 3100 | 13 |
| 6 | 3190 | 13 |
| 7 | 3241 | 13 |
| 8 | 3241 | 13 |
| 9 | 3241 | 13 |
| 10 | 3840 | 13 |
| 11 | 3879 | 13 |
| 12 | 3879 | 13 |
| 0 | 3879 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #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 |
|---|---|---|
| ▶ | 98.0% | (*.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)))) |
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 | 320 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| cost-diff | 320 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 29 | 86 |
| 1 | 49 | 76 |
| 2 | 127 | 68 |
| 3 | 394 | 68 |
| 4 | 1401 | 68 |
| 5 | 3100 | 68 |
| 6 | 3190 | 68 |
| 7 | 3241 | 68 |
| 8 | 3241 | 68 |
| 9 | 3241 | 68 |
| 10 | 3840 | 68 |
| 11 | 3879 | 68 |
| 12 | 3879 | 68 |
| 0 | 3879 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(*.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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z)) |
(/.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) y) (/.f64 x z)) |
(*.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 | 0.19921875 | (*.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 | 1.9726340619861888 | (*.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 | 6.421896504120019 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 35.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 7.0ms (41.9% of total)ival-div: 5.0ms (29.9% of total)ival-sqrt: 2.0ms (12% of total)ival-acos: 2.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | 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 | 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))) |
| 2.0ms | t | @ | 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 | 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 | 1496 |
| 1 | 61 | 1484 |
| 2 | 190 | 1476 |
| 3 | 719 | 1476 |
| 4 | 2547 | 1476 |
| 5 | 4430 | 1476 |
| 6 | 6203 | 1476 |
| 0 | 8064 | 1476 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 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)))))) |
(* 1/3 (acos (* 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)))))) |
(* 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)))) |
(* -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) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
| Outputs |
|---|
(* 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 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 (* 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 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) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 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) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 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) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 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) y) x) #s(literal -1/18 binary64))) #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)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 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)) |
(* 1/3 (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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
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(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
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(* 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
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(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
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(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
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(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
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(*.f64 (/.f64 x y) #s(literal 1/9 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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/3 (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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
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(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* 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 | 69 | 42 |
| 2 | 387 | 36 |
| 3 | 3742 | 36 |
| 0 | 8214 | 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 |
|---|
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Compiled 12 388 to 2 590 computations (79.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 670 | 4 | 674 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 671 | 4 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
| ▶ | 98.4% | (*.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)))) |
| ▶ | 98.0% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
| ▶ | 97.3% | #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 79 to 66 computations (16.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) | |
| cost-diff | 128 | (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 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 | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 t) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| cost-diff | 0 | (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 421 |
| 0 | 84 | 421 |
| 1 | 138 | 411 |
| 2 | 297 | 401 |
| 3 | 714 | 401 |
| 4 | 1890 | 401 |
| 5 | 3491 | 401 |
| 6 | 3805 | 401 |
| 7 | 4210 | 401 |
| 8 | 4930 | 401 |
| 9 | 5618 | 401 |
| 10 | 6269 | 401 |
| 11 | 7023 | 401 |
| 12 | 7160 | 401 |
| 13 | 7160 | 401 |
| 14 | 7252 | 401 |
| 15 | 7345 | 401 |
| 16 | 7363 | 401 |
| 17 | 7455 | 401 |
| 18 | 7620 | 401 |
| 19 | 7620 | 401 |
| 0 | 8072 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #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 (sqrt.f64 t) (*.f64 #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 (sqrt.f64 t) (*.f64 #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)) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #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))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #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 (sqrt.f64 t) (*.f64 #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)) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27962875976844204 | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) | |
| accuracy | 1.0 | (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 1.9726340619861888 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 6.369352476688737 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.27962875976844204 | (*.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 | 1.9726340619861888 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 3.330995418342762 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.27962875976844204 | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.96875 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) | |
| accuracy | 1.9726340619861888 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 6.369352476688737 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.234375 | (*.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 | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 4.0s | 256× | 0 | valid |
Compiled 385 to 49 computations (87.3% saved)
ival-pow2: 3.9s (98.2% of total)ival-mult: 34.0ms (0.9% of total)ival-div: 15.0ms (0.4% of total)ival-acos: 8.0ms (0.2% of total)const: 6.0ms (0.2% of total)ival-asin: 2.0ms (0.1% of total)ival-sqrt: 2.0ms (0.1% of total)ival-pi: 1.0ms (0% of total)ival-add: 1.0ms (0% of total)ival-sub: 1.0ms (0% of total)exact: 1.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 13.0ms | t | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 5.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 5.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 5.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 10996 |
| 1 | 129 | 10748 |
| 2 | 391 | 10704 |
| 3 | 1785 | 10704 |
| 4 | 4879 | 10704 |
| 5 | 7222 | 10704 |
| 0 | 8275 | 10560 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 291 |
| 0 | 84 | 268 |
| 1 | 241 | 260 |
| 2 | 1470 | 252 |
| 0 | 8422 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(sqrt.f64 t) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (/.f64 x y) z) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
| Outputs |
|---|
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Compiled 120 861 to 9 873 computations (91.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 953 | 5 | 3 958 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 3 956 | 6 | 3 962 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
| ▶ | 97.3% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) |
| ▶ | 97.3% | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
| ▶ | 97.3% | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) |
| ▶ | 98.4% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.0% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 325 to 213 computations (34.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) | |
| cost-diff | 128 | (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 6848 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) | |
| cost-diff | 128 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 t) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) | |
| cost-diff | 0 | (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 6848 | (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 742 |
| 0 | 84 | 748 |
| 1 | 146 | 730 |
| 2 | 320 | 730 |
| 3 | 683 | 730 |
| 4 | 1542 | 730 |
| 5 | 6113 | 730 |
| 0 | 8277 | 723 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.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 binary64) |
#s(literal 3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(*.f64 #s(literal 1/18 binary64) x) |
#s(literal 1/18 binary64) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.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 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.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 2 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.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 2 binary64) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(*.f64 #s(literal 1/18 binary64) x) |
(*.f64 x #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
#s(literal 1/3 binary64) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 2 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64)) |
(fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #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 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.984375 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.234375 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 0.96484375 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.234375 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 0.9609375 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.38671875 | (*.f64 #s(literal 1/18 binary64) x) | |
| accuracy | 0.96875 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) | |
| accuracy | 1.9726340619861888 | (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) | |
| accuracy | 3.421757357038844 | (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) | |
| accuracy | 0.18359375 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.234375 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 379.0ms | 256× | 0 | valid |
Compiled 754 to 51 computations (93.2% saved)
ival-mult: 20.0ms (26.5% of total)ival-pow: 20.0ms (26.5% of total)ival-div: 10.0ms (13.2% of total)const: 7.0ms (9.3% of total)ival-acos: 4.0ms (5.3% of total)ival-add: 3.0ms (4% of total)ival-asin: 2.0ms (2.6% of total)ival-sub: 2.0ms (2.6% of total)ival-sqrt: 2.0ms (2.6% of total)ival-pow2: 2.0ms (2.6% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) (patch (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 t) (patch (sqrt.f64 t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (patch (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) (patch (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) x) (patch (*.f64 #s(literal 1/18 binary64) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.4s | t | @ | 0 | ((pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1/3 (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1)) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1)) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (pow (PI) 3)) |
| 40.0ms | z | @ | 0 | ((pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1/3 (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1)) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1)) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (pow (PI) 3)) |
| 13.0ms | y | @ | inf | ((pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1/3 (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1)) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1)) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (pow (PI) 3)) |
| 10.0ms | x | @ | inf | ((pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1/3 (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1)) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1)) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (pow (PI) 3)) |
| 10.0ms | z | @ | -inf | ((pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ 1/3 (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1)) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) 3)) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1)) (* (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (/ 1/3 (pow (+ (* (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI)))) (* (* (PI) (PI)) 1/4)) -1))) (- (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) (* 1/2 (PI))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 3))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (pow (PI) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 17204 |
| 1 | 216 | 16780 |
| 2 | 646 | 16704 |
| 3 | 2615 | 16704 |
| 4 | 7442 | 16704 |
| 0 | 8067 | 16224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
| 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 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)) |
(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)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) |
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(*.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) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.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) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.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)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64))) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)) |
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)))) |
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) (asin.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)))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(- (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 2 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) (/.f64 (sqrt.f64 t) z)) y) x)) #s(literal 3 binary64)))) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/18 x) |
(*.f64 x #s(literal 1/18 binary64)) |
(* 1/18 x) |
(*.f64 x #s(literal 1/18 binary64)) |
(* 1/18 x) |
(*.f64 x #s(literal 1/18 binary64)) |
(* 1/18 x) |
(*.f64 x #s(literal 1/18 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 375 |
| 0 | 84 | 300 |
| 1 | 303 | 280 |
| 2 | 2151 | 280 |
| 0 | 8807 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) |
(sqrt.f64 t) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) |
(-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(*.f64 #s(literal 1/18 binary64) x) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
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Compiled 258 098 to 7 098 computations (97.2% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 826 | 5 | 4 831 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 830 | 7 | 4 837 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
| ▶ | 97.4% | (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) |
| ▶ | 98.8% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
| ▶ | 97.3% | (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
| ▶ | 97.0% | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
| ✓ | 98.4% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.0% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 216 to 190 computations (12% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) | |
| cost-diff | 6848 | (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) | |
| cost-diff | 0 | #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) | |
| cost-diff | 0 | (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) | |
| cost-diff | 384 | (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) | |
| cost-diff | 512 | (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 492 |
| 0 | 86 | 488 |
| 1 | 133 | 484 |
| 2 | 254 | 484 |
| 3 | 498 | 484 |
| 4 | 774 | 484 |
| 5 | 997 | 484 |
| 6 | 1340 | 484 |
| 7 | 1935 | 484 |
| 8 | 3137 | 484 |
| 9 | 4357 | 484 |
| 10 | 5021 | 484 |
| 11 | 5452 | 484 |
| 12 | 5493 | 484 |
| 13 | 5494 | 484 |
| 14 | 5868 | 484 |
| 15 | 6026 | 484 |
| 16 | 6026 | 484 |
| 17 | 6026 | 484 |
| 18 | 6064 | 484 |
| 19 | 6087 | 484 |
| 20 | 6091 | 484 |
| 21 | 6385 | 484 |
| 0 | 8014 | 482 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.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 |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.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 |
#s(literal 1/18 binary64) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) |
#s(literal 1/18 binary64) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
(*.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) |
#s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
#s(literal 3 binary64) |
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
#s(literal -1/18 binary64) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
z |
#s(literal -1 binary64) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.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 |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/2 binary64) |
(/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/3 binary64) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
#s(literal 1/18 binary64) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
(*.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal -1 binary64)) |
#s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) |
#s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 3 binary64) |
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) |
#s(literal -1/18 binary64) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
z |
#s(literal -1 binary64) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18359375 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.234375 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) | |
| accuracy | 0.9529455760973743 | #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) | |
| accuracy | 2.942351857408418 | (*.f64 (/.f64 (sqrt.f64 t) y) x) | |
| accuracy | 5.8170874433652235 | (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) | |
| accuracy | 0.234375 | (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) | |
| accuracy | 0.24609375 | (*.f64 (sqrt.f64 t) x) | |
| accuracy | 0.9609375 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) | |
| accuracy | 6.378639424662362 | (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) | |
| accuracy | 0.234375 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.95703125 | (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| accuracy | 0.20607377930532605 | (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) | |
| accuracy | 0.234375 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 2.2826077978414827 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.7151479575230817 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
| 302.0ms | 256× | 0 | valid |
Compiled 468 to 52 computations (88.9% saved)
ival-mult: 118.0ms (45.1% of total)ival-sqrt: 92.0ms (35.2% of total)ival-div: 17.0ms (6.5% of total)const: 10.0ms (3.8% of total)ival-acos: 8.0ms (3.1% of total)ival-pow: 8.0ms (3.1% of total)ival-asin: 2.0ms (0.8% of total)ival-pow2: 2.0ms (0.8% of total)ival-pi: 1.0ms (0.4% of total)ival-add: 1.0ms (0.4% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) (patch (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) (patch (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) (patch (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) (patch #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (patch (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) (patch (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 t) x) (patch (*.f64 (sqrt.f64 t) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) (patch (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) (patch (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) (patch (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 706.0ms | x | @ | inf | ((/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* 1/4 (* (PI) (PI))) (/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (/ 1/3 (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1)) (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1) (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) (* 1/18 (/ (* (sqrt t) x) (* y z))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z))) (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2) (/ (* (sqrt t) x) (* y z)) (* (sqrt t) x) (/ (* -1/18 (* (/ (sqrt t) y) x)) z) (* (/ (sqrt t) y) x) (* -1/18 (* (/ (sqrt t) y) x)) (/ (sqrt t) z)) |
| 205.0ms | y | @ | 0 | ((/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* 1/4 (* (PI) (PI))) (/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (/ 1/3 (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1)) (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1) (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) (* 1/18 (/ (* (sqrt t) x) (* y z))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z))) (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2) (/ (* (sqrt t) x) (* y z)) (* (sqrt t) x) (/ (* -1/18 (* (/ (sqrt t) y) x)) z) (* (/ (sqrt t) y) x) (* -1/18 (* (/ (sqrt t) y) x)) (/ (sqrt t) z)) |
| 59.0ms | t | @ | -inf | ((/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* 1/4 (* (PI) (PI))) (/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (/ 1/3 (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1)) (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1) (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) (* 1/18 (/ (* (sqrt t) x) (* y z))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z))) (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2) (/ (* (sqrt t) x) (* y z)) (* (sqrt t) x) (/ (* -1/18 (* (/ (sqrt t) y) x)) z) (* (/ (sqrt t) y) x) (* -1/18 (* (/ (sqrt t) y) x)) (/ (sqrt t) z)) |
| 7.0ms | t | @ | inf | ((/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* 1/4 (* (PI) (PI))) (/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (/ 1/3 (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1)) (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1) (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) (* 1/18 (/ (* (sqrt t) x) (* y z))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z))) (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2) (/ (* (sqrt t) x) (* y z)) (* (sqrt t) x) (/ (* -1/18 (* (/ (sqrt t) y) x)) z) (* (/ (sqrt t) y) x) (* -1/18 (* (/ (sqrt t) y) x)) (/ (sqrt t) z)) |
| 5.0ms | t | @ | 0 | ((/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* 1/4 (* (PI) (PI))) (/ (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 3) (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (* x (/ (/ (sqrt t) z) y)) (/ 1/3 (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1)) (pow (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) -1) (acos (* 1/18 (/ (* (sqrt t) x) (* y z)))) (* 1/18 (/ (* (sqrt t) x) (* y z))) (pow (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) -1) (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/ 3 (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z))) (acos (/ (* -1/18 (* (/ (sqrt t) y) x)) z)) (pow (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) -1) (/ 3 (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18))) (/ (/ (sqrt t) z) y) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2) (/ (* (sqrt t) x) (* y z)) (* (sqrt t) x) (/ (* -1/18 (* (/ (sqrt t) y) x)) z) (* (/ (sqrt t) y) x) (* -1/18 (* (/ (sqrt t) y) x)) (/ (sqrt t) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 14336 |
| 1 | 167 | 14056 |
| 2 | 522 | 14016 |
| 3 | 1848 | 14016 |
| 4 | 4685 | 14016 |
| 5 | 7131 | 14016 |
| 0 | 8308 | 13872 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
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(* (sqrt t) (/ x y)) |
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(* -1/18 (* (sqrt t) (/ x y))) |
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(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
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(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* (sqrt t) (/ x y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
(* -1/18 (* (sqrt t) (/ x y))) |
| Outputs |
|---|
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
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(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z))) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z)) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z)) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z)) |
(acos (* -1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64)) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z)))) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) |
(pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) |
(* (sqrt t) (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) z) |
(* (sqrt t) (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) z) |
(* (sqrt t) (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) z) |
(* (sqrt t) (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) z) |
(* (sqrt t) x) |
(*.f64 x (sqrt.f64 t)) |
(* (sqrt t) x) |
(*.f64 x (sqrt.f64 t)) |
(* (sqrt t) x) |
(*.f64 x (sqrt.f64 t)) |
(* (sqrt t) x) |
(*.f64 x (sqrt.f64 t)) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z) |
(* -1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) z) |
(* (sqrt t) (/ x y)) |
(/.f64 (*.f64 x (sqrt.f64 t)) y) |
(* (sqrt t) (/ x y)) |
(/.f64 (*.f64 x (sqrt.f64 t)) y) |
(* (sqrt t) (/ x y)) |
(/.f64 (*.f64 x (sqrt.f64 t)) y) |
(* (sqrt t) (/ x y)) |
(/.f64 (*.f64 x (sqrt.f64 t)) y) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal -1/18 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 343 |
| 0 | 86 | 404 |
| 1 | 276 | 312 |
| 2 | 1555 | 312 |
| 0 | 8220 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) |
#s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) |
(*.f64 (sqrt.f64 t) x) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(/.f64 (sqrt.f64 t) z) |
| Outputs |
|---|
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Compiled 146 262 to 8 511 computations (94.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 616 | 3 | 4 619 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 4 621 | 5 | 4 626 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) | |
| 97.2% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) | |
| 97.0% | (/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64)) | |
| ✓ | 98.4% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.0% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 503 to 206 computations (59% saved)
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #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)))) |
(/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (-.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) |
| Outputs |
|---|
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
13 calls:
| 41.0ms | t |
| 26.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 5.0ms | (*.f64 z #s(literal 2 binary64)) |
| 5.0ms | z |
| 5.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 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)))) |
| 99.8% | 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))) |
| 99.8% | 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)) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.8% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.8% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
Total -1.9b remaining (-181.5%)
Threshold costs -1.9b (-181.5%)
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
(/.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y z))) #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)))) |
(/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
13 calls:
| 29.0ms | (*.f64 y #s(literal 27 binary64)) |
| 12.0ms | y |
| 3.0ms | (sqrt.f64 t) |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
| 98.4% | 1 | t |
| 98.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.4% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.4% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.4% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.4% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.4% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.4% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.4% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 28 |
| 1 | 28 | 28 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)))) #s(literal -1 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) (sqrt.f64 t)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 375 |
| 0 | 84 | 300 |
| 1 | 303 | 280 |
| 2 | 2151 | 280 |
| 0 | 8807 | 278 |
| 0 | 53 | 343 |
| 0 | 86 | 404 |
| 1 | 276 | 312 |
| 2 | 1555 | 312 |
| 0 | 8220 | 312 |
| 0 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 69 | 42 |
| 2 | 387 | 36 |
| 3 | 3742 | 36 |
| 0 | 8214 | 36 |
| 0 | 53 | 291 |
| 0 | 84 | 268 |
| 1 | 241 | 260 |
| 2 | 1470 | 252 |
| 0 | 8422 | 252 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 222 to 127 computations (42.8% saved)
(sort y z)
Compiled 218 to 200 computations (8.3% saved)
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