
Time bar (total: 30.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 2.3s | 15 759× | 0 | invalid |
| 1.8s | 8 256× | 0 | valid |
ival-mult: 1.1s (32.3% of total)ival-acos: 1.0s (31% of total)ival-div: 931.0ms (28.3% of total)ival-sqrt: 207.0ms (6.3% of total)exact: 44.0ms (1.3% of total)ival-true: 19.0ms (0.6% of total)ival-assert: 10.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 1 | (-4.8303509601674404e-297 -3.507047994321828e+94 2.38643788884909e-69 8.028612322521066e+70) | 2 | (1.2649063450702859e-191 -3.594589859619758e+118 4.854077234776438e-113 5.0112377850417955e-210) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 16 | 0 | - | 5 | (2.426551343649575e-234 1.2879055403508285e-221 -8.234233845562219e+298 4.3016911959014926e+30) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | u/n | 16 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 52 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 52 | |
*.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 | 11 | 0 |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | o/n | 2 | 0 |
| ↳ | (*.f64 y #s(literal 27 binary64)) | overflow | 1 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | overflow | 2 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | overflow | 2 | |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | n/o | 1 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 28 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 28 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-mult: 14.0ms (41% of total)ival-div: 10.0ms (29.3% of total)ival-sqrt: 4.0ms (11.7% of total)ival-acos: 4.0ms (11.7% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 044× | lower-*.f32 |
| 2 034× | lower-*.f64 |
| 1 530× | unsub-neg |
| 1 368× | associate-*r/ |
| 1 168× | associate-*r* |
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 |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 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)) |
| 2 044× | lower-*.f32 |
| 2 034× | lower-*.f64 |
| 1 368× | associate-*r/ |
| 1 168× | associate-*r* |
| 1 118× | associate-*l* |
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 | 0.25390625 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| accuracy | 0.9921875 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| accuracy | 3.122401547588632 | (*.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 | 5.8049167251283 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-div: 7.0ms (37.9% of total)ival-mult: 7.0ms (37.9% of total)ival-sqrt: 2.0ms (10.8% of total)ival-acos: 2.0ms (10.8% of total)exact: 1.0ms (5.4% of total)ival-true: 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>) () ())) ()) |
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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>) () ())) ()) |
#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 | |
|---|---|---|---|---|
| 5.0ms | 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 |
| 4 146× | lower-*.f64 |
| 4 146× | lower-*.f32 |
| 3 464× | lower-/.f32 |
| 3 464× | lower-/.f64 |
| 1 210× | associate-*r* |
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)))))) |
(*.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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/9 (/ x y)) |
(*.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)) |
(* 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)) |
| 5 832× | lower-*.f32 |
| 5 822× | lower-*.f64 |
| 3 672× | lower-/.f32 |
| 3 668× | lower-/.f64 |
| 1 650× | lower-pow.f64 |
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 |
|---|
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -3/2 binary64)) |
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(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t))) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (sqrt.f64 t)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) #s(literal 27 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x y)) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) x) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal 2/3 binary64)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))) |
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
Compiled 12 388 to 2 590 computations (79.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 671 | 3 | 674 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 672 | 3 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (/.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)))))) |
| ▶ | 98.1% | (*.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 63 to 50 computations (20.6% saved)
| 1× | egg-herbie |
Found 12 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 | (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))) |
| 3 388× | lower-*.f32 |
| 3 372× | lower-*.f64 |
| 1 832× | lower-fma.f32 |
| 1 830× | lower-fma.f64 |
| 1 520× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 307 |
| 0 | 68 | 307 |
| 1 | 116 | 305 |
| 2 | 265 | 303 |
| 3 | 672 | 303 |
| 4 | 1867 | 303 |
| 5 | 3498 | 303 |
| 6 | 3813 | 303 |
| 7 | 4221 | 303 |
| 8 | 4936 | 303 |
| 9 | 5626 | 303 |
| 10 | 6281 | 303 |
| 11 | 7035 | 303 |
| 12 | 7167 | 303 |
| 13 | 7167 | 303 |
| 14 | 7259 | 303 |
| 15 | 7352 | 303 |
| 16 | 7370 | 303 |
| 17 | 7462 | 303 |
| 18 | 7618 | 303 |
| 19 | 7618 | 303 |
| 0 | 8091 | 301 |
| 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 (-.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 (-.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 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25390625 | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.9921875 | (*.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 | 3.122401547588632 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 5.557562885397935 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.25390625 | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) | |
| accuracy | 0.9921875 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) | |
| accuracy | 3.122401547588632 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 5.557562885397935 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.9921875 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 105.0ms | 256× | 0 | valid |
Compiled 299 to 46 computations (84.6% saved)
ival-div: 35.0ms (45.2% of total)ival-mult: 20.0ms (25.8% of total)ival-acos: 6.0ms (7.7% of total)const: 6.0ms (7.7% of total)ival-asin: 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)ival-add: 1.0ms (1.3% of total)ival-sub: 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 #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 (-.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 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<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>) () ()) |
| 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>) () ())) ()) |
#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#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>) () ())) ()) |
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#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#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 (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#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 (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#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 (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor -inf x) (#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 (* 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | 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) (* (- (* 1/4 (* (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) (/ (sqrt t) z) (/ (/ x y) z) (* 1/18 (/ (/ x y) z))) |
| 11.0ms | 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) (* (- (* 1/4 (* (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) (/ (sqrt t) z) (/ (/ x y) z) (* 1/18 (/ (/ x y) z))) |
| 7.0ms | 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) (* (- (* 1/4 (* (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) (/ (sqrt t) z) (/ (/ x y) z) (* 1/18 (/ (/ x y) z))) |
| 6.0ms | 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) (* (- (* 1/4 (* (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) (/ (sqrt t) z) (/ (/ x y) z) (* 1/18 (/ (/ x y) z))) |
| 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) (* (- (* 1/4 (* (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) (/ (sqrt t) z) (/ (/ x y) z) (* 1/18 (/ (/ x y) z))) |
| 1× | egg-herbie |
| 3 940× | lower-*.f64 |
| 3 940× | lower-*.f32 |
| 2 940× | lower-/.f32 |
| 2 940× | lower-/.f64 |
| 2 720× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 9036 |
| 1 | 140 | 8772 |
| 2 | 444 | 8736 |
| 3 | 1877 | 8736 |
| 4 | 5127 | 8736 |
| 5 | 6969 | 8736 |
| 0 | 8397 | 8592 |
| 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 (- (* 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))) |
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(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))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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)) (+ (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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 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) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* (sqrt t) (/ 1 z)) |
(/.f64 (sqrt.f64 t) z) |
(* (sqrt t) (/ 1 z)) |
(/.f64 (sqrt.f64 t) z) |
(* (sqrt t) (/ 1 z)) |
(/.f64 (sqrt.f64 t) z) |
(* (sqrt t) (/ 1 z)) |
(/.f64 (sqrt.f64 t) z) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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)) (+ (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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 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) |
(/ 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)) |
| 5 262× | lower-fma.f32 |
| 5 260× | lower-fma.f64 |
| 4 664× | lower-*.f32 |
| 4 648× | lower-*.f64 |
| 4 322× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 212 |
| 0 | 68 | 189 |
| 1 | 211 | 187 |
| 2 | 1383 | 185 |
| 0 | 8521 | 185 |
| 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 (-.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 (sqrt.f64 t) z) |
(/.f64 (/.f64 x y) z) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (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 -1/2 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 -1/2 binary64))) |
(*.f64 (/.f64 (neg.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)))) #s(literal -1 binary64)) (/.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)))))) |
(*.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))) #s(literal -1 binary64)) (/.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)))))) |
(*.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 (*.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 (*.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 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 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 (*.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))) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 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 (*.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 (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 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (/.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 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(*.f64 (/.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))) #s(literal 1/3 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 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 (*.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))) #s(literal 1/3 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 (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 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 4 binary64))) (/.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)))))) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 6 binary64))) (/.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)))))) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.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 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.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 -1 binary64)) (pow.f64 (pow.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))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.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 -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))) #s(literal 1/3 binary64))) |
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(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)))) |
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal 54 binary64))) |
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64)) (*.f64 z y)) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z))) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 z (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)) z)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 54 binary64) z)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) z)) |
(/.f64 #s(literal 3/2 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) z) |
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) (neg.f64 z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x)) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)) z)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -27 binary64) y)) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) z)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 #s(literal 9 binary64) (/.f64 y x)))) |
(/.f64 (/.f64 x y) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64))) |
(/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 x y))) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) z)) |
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 x y)) #s(literal 1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64))) |
Compiled 106 502 to 8 102 computations (92.4% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 272 | 6 | 3 278 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 0 | 0 |
| Total | 3 274 | 7 | 3 281 |
| 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))) |
| ▶ | 96.5% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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)))))) |
| ▶ | 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))) (pow.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 -1 binary64))) #s(literal 1/3 binary64)) | |
| ▶ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 323 to 253 computations (21.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 1/4 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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) #s(literal 1/3 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)) |
| 2 728× | lower-fma.f32 |
| 2 726× | lower-fma.f64 |
| 2 180× | lower-*.f32 |
| 2 150× | lower-*.f64 |
| 938× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 574 |
| 0 | 92 | 580 |
| 1 | 158 | 566 |
| 2 | 338 | 566 |
| 3 | 585 | 566 |
| 4 | 877 | 566 |
| 5 | 1270 | 566 |
| 6 | 2001 | 566 |
| 7 | 2915 | 566 |
| 8 | 4481 | 566 |
| 9 | 5464 | 566 |
| 10 | 6063 | 566 |
| 11 | 6130 | 566 |
| 12 | 6134 | 566 |
| 13 | 6227 | 566 |
| 14 | 6369 | 566 |
| 15 | 6393 | 566 |
| 16 | 6393 | 566 |
| 17 | 6397 | 566 |
| 18 | 6435 | 566 |
| 19 | 6446 | 566 |
| 20 | 6460 | 566 |
| 0 | 6460 | 563 |
| 1× | iter limit |
| 1× | saturated |
| 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64)) |
(asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
x |
(*.f64 z y) |
z |
y |
#s(literal 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) |
(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))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(/.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) |
| 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 -1/3 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 (*.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 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) #s(literal 1/3 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 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (PI.f64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 1/4 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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#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 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) |
#s(literal 1/2 binary64) |
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(/.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 #s(literal -1/3 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 (*.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 (*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.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)) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.98828125 | (/.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 | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.9921875 | (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 3.122401547588632 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 5.557562885397935 | (/.f64 (/.f64 x y) z) | |
| accuracy | 9.35438535435709 | (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.98828125 | (/.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 | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.3515625 | (*.f64 #s(literal 1/18 binary64) x) | |
| accuracy | 0.9921875 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) | |
| accuracy | 3.122401547588632 | (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) | |
| accuracy | 7.28061860966907 | (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) | |
| accuracy | 0.203125 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 120.0ms | 256× | 0 | valid |
Compiled 581 to 54 computations (90.7% saved)
ival-mult: 24.0ms (33.5% of total)ival-div: 14.0ms (19.5% of total)const: 7.0ms (9.8% of total)ival-pow2: 6.0ms (8.4% of total)ival-acos: 4.0ms (5.6% of total)ival-asin: 4.0ms (5.6% of total)ival-pow: 4.0ms (5.6% of total)ival-add: 2.0ms (2.8% of total)ival-sub: 2.0ms (2.8% of total)ival-sqrt: 2.0ms (2.8% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.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 (/.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 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) z) (patch (/.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>) () ()) |
| 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>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | -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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) (* 1/4 (* (PI) (PI))) (/ (- (* (* (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z)))) |
| 4.0ms | 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) (* 1/4 (* (PI) (PI))) (/ (- (* (* (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z)))) |
| 4.0ms | t | @ | 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) (* 1/4 (* (PI) (PI))) (/ (- (* (* (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z)))) |
| 4.0ms | 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) (* 1/4 (* (PI) (PI))) (/ (- (* (* (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z)))) |
| 4.0ms | 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)) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* (* 1/18 (sqrt t)) x) (* z y))) 2)) (* 1/4 (* (PI) (PI))) (/ (- (* (* (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (* 1/18 x) (* z y)) (* 1/18 x) (/ (* (* 1/18 (sqrt t)) x) (* z y)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z)))) |
| 1× | egg-herbie |
| 3 954× | lower-*.f64 |
| 3 954× | lower-*.f32 |
| 2 948× | lower-/.f32 |
| 2 948× | lower-/.f64 |
| 2 798× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 14068 |
| 1 | 146 | 13724 |
| 2 | 452 | 13668 |
| 3 | 1919 | 13668 |
| 4 | 5136 | 13668 |
| 5 | 7015 | 13668 |
| 0 | 8443 | 13428 |
| 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)))))) |
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(/ 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))))) |
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(* 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)))))) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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(* 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))) |
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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))))) |
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(- (* 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)) (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))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
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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)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(/ 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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(sqrt t) |
(sqrt t) |
(sqrt t) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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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))))) |
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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))))) |
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(* (sqrt t) (/ x (* y z))) |
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(* (sqrt t) (/ 1 (* y z))) |
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* 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))))) |
(* 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)) (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))) |
(* 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) |
(* 1/18 (* (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)))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ 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)))))) |
(/ 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))) |
(* 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 (/ (- (* 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))) |
(* 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) |
(* 1/18 (* (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)))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ 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) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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)) (+ (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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64))) |
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(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 1/3 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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)) (+ (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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64))) |
(* 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) 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) y) #s(literal 1/18 binary64)) x)) #s(literal 2 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)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(/ 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 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
| 4 586× | lower-*.f32 |
| 4 564× | lower-/.f32 |
| 4 556× | lower-*.f64 |
| 4 546× | lower-/.f64 |
| 3 400× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 314 |
| 0 | 92 | 282 |
| 1 | 320 | 260 |
| 2 | 2087 | 260 |
| 0 | 8148 | 260 |
| 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 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))) (*.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 (/.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) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
| Outputs |
|---|
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(*.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1/18 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 y z))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t)))) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (/.f64 y (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 y x))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 (/.f64 y (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 x y) (sqrt.f64 t))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 x (sqrt.f64 t)) y)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) z) (/.f64 (*.f64 #s(literal -1/18 binary64) x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 18 binary64)))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) |
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (sqrt.f64 t))) |
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t)))))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1/18 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) #s(literal 1 binary64))) (*.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 z (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y) z) |
(/.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)) y) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) z))) y) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) z) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x) y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)) z) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 (*.f64 z (/.f64 y x)))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (*.f64 (sqrt.f64 t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (sqrt.f64 t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t))))) |
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (/.f64 z (sqrt.f64 t)))) #s(literal -1 binary64))) |
Compiled 192 049 to 9 029 computations (95.3% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 311 | 4 | 5 315 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 5 316 | 6 | 5 322 |
| 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)) |
| ▶ | 97.8% | (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64)) |
| ▶ | 98.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
| ▶ | 97.3% | (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 106 to 98 computations (7.5% saved)
| 1× | egg-herbie |
Found 16 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #s(literal -1 binary64)) | |
| 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 (*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) | |
| cost-diff | 512 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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)) | |
| 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)) |
| 20 152× | lower-fma.f32 |
| 20 150× | lower-fma.f64 |
| 3 192× | lower-*.f32 |
| 3 176× | lower-*.f64 |
| 1 376× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 455 |
| 0 | 81 | 453 |
| 1 | 128 | 449 |
| 2 | 244 | 449 |
| 3 | 461 | 449 |
| 4 | 761 | 449 |
| 5 | 997 | 449 |
| 6 | 1334 | 449 |
| 7 | 1926 | 449 |
| 8 | 3126 | 449 |
| 9 | 4358 | 449 |
| 10 | 5021 | 449 |
| 11 | 5449 | 449 |
| 12 | 5490 | 449 |
| 13 | 5491 | 449 |
| 14 | 5865 | 449 |
| 15 | 6023 | 449 |
| 16 | 6023 | 449 |
| 17 | 6023 | 449 |
| 18 | 6061 | 449 |
| 19 | 6084 | 449 |
| 20 | 6088 | 449 |
| 21 | 6382 | 449 |
| 0 | 8221 | 447 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (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 (*.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 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.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 (*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) |
#s(literal 1/2 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))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) |
#s(literal 3 binary64) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 (*.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 |
#s(literal -1/18 binary64) |
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 (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 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.f64 #s(literal 1/4 binary64) (*.f64 (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 (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 (*.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 (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) |
(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)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
#s(literal -1/18 binary64) |
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 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.203125 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| accuracy | 0.30306625976844204 | (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) | |
| accuracy | 0.6666769903784888 | #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) | |
| accuracy | 3.5750831204802416 | (*.f64 (/.f64 (sqrt.f64 t) y) x) | |
| accuracy | 6.547517732106588 | (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) | |
| accuracy | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 3.122401547588632 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) | |
| accuracy | 4.133972335213674 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| accuracy | 5.557562885397935 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.98046875 | (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) | |
| accuracy | 2.7565543466909266 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.133972335213674 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
| 111.0ms | 256× | 0 | valid |
Compiled 431 to 49 computations (88.6% saved)
ival-mult: 32.0ms (39.8% of total)ival-div: 17.0ms (21.2% of total)const: 7.0ms (8.7% of total)ival-acos: 6.0ms (7.5% of total)ival-pow: 6.0ms (7.5% of total)ival-asin: 4.0ms (5% of total)ival-sqrt: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.2% of total)ival-add: 1.0ms (1.2% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (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 (pow.f64 #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) (patch #s(approx (* (pow (acos (* 1/18 (* (/ (/ (sqrt t) z) y) x))) -1) 3) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) (patch (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) (patch (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) z) (patch (/.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 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #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 (/.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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#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 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#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 (* (sqrt t) (/ x (* y z))) (taylor 0 t) (#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 (* (sqrt t) (/ x (* y z))) (taylor 0 t) (#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 (* (sqrt t) (/ x (* y z))) (taylor 0 t) (#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 (* (sqrt t) (/ x (* y z))) (taylor 0 t) (#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 (* 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor -inf x) (#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 (/ 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 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#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 (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#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 (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) (patch (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt t) (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sqrt.f64 t) y) x) (patch (*.f64 (/.f64 (sqrt.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ x y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | -inf | ((/ (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)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* (* (PI) (PI)) 1/4) (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 (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) 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) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18)) |
| 5.0ms | y | @ | 0 | ((/ (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)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* (* (PI) (PI)) 1/4) (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 (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) 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) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18)) |
| 4.0ms | t | @ | inf | ((/ (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)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* (* (PI) (PI)) 1/4) (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 (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) 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) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18)) |
| 4.0ms | t | @ | 0 | ((/ (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)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* (* (PI) (PI)) 1/4) (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 (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) 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) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18)) |
| 4.0ms | y | @ | -inf | ((/ (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)) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (/ (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) 3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (* x (/ (/ (sqrt t) z) y)) 1/18)) 2)) (* (* (PI) (PI)) 1/4) (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 (/ (* (* (/ (sqrt t) y) x) -1/18) z))) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) 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) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (sqrt t) y) x) (* (* (/ (sqrt t) y) x) -1/18)) |
| 1× | egg-herbie |
| 3 946× | lower-*.f64 |
| 3 946× | lower-*.f32 |
| 2 946× | lower-fma.f64 |
| 2 946× | lower-fma.f32 |
| 1 834× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 11576 |
| 1 | 158 | 11344 |
| 2 | 482 | 11316 |
| 3 | 1641 | 11316 |
| 4 | 4040 | 11316 |
| 5 | 6449 | 11316 |
| 0 | 8019 | 11172 |
| 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)))))) |
(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 (- (* 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)))))) |
(/ 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)))))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 z)) |
(* (sqrt t) (/ 1 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 (* (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))) |
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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))))) |
(- (* 1/4 (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)))))) |
(/ 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)))))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ 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 (* (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 (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 (- (* 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)))))) |
(/ 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)))))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ 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 (* (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 (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 (- (* 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)))))) |
(/ 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)))))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ 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 (* (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 (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) (/ 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)) |
(* 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))) |
(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)) (+ (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)) |
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(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 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 (* (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) |
(* -1/18 (* (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) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* 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) (/ 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)) |
(* 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))) |
(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)) (+ (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))) |
(* 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)) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x))) |
(/ 3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (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)) |
(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)) |
(* 1/3 (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)) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))) |
(/ 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 (* (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) |
(* -1/18 (* (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) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* (sqrt t) (/ x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(* -1/18 (* (sqrt t) (/ x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
| 5 128× | lower-/.f32 |
| 5 106× | lower-/.f64 |
| 4 822× | lower-*.f32 |
| 4 806× | lower-*.f64 |
| 3 844× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 284 |
| 0 | 81 | 278 |
| 1 | 263 | 278 |
| 2 | 1528 | 278 |
| 0 | 8144 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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) |
(/.f64 (sqrt.f64 t) z) |
(/.f64 (/.f64 x y) z) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #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 -1/2 binary64))) #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 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.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 binary64)) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (pow.f64 (neg.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 binary64))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(*.f64 (neg.f64 (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)) |
(*.f64 (*.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)) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/2 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 -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/2 binary64))) |
(*.f64 #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 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(*.f64 (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1 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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(*.f64 (*.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 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.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)) |
(pow.f64 (*.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 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.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 (neg.f64 (neg.f64 (neg.f64 (acos.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 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 9 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.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 binary64)) |
(/.f64 (*.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 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 (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.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 binary64) (neg.f64 (neg.f64 (/.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 1 binary64) (/.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 -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(/.f64 (*.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 binary64)) |
(/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) |
(neg.f64 (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.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 #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 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 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)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #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 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(/.f64 (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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (-.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 #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 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (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)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.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 #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 (neg.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #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 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) #s(literal -1 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/18 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/18 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/18 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 (neg.f64 y)) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 (/.f64 y (sqrt.f64 t))) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 z #s(literal -18 binary64)) (/.f64 y (sqrt.f64 t)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 t)) z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z #s(literal -18 binary64)) (/.f64 y (sqrt.f64 t)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)) y) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 (neg.f64 z) (/.f64 y (sqrt.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 t)) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (/.f64 y (sqrt.f64 t)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (*.f64 z #s(literal -18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) 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 y (*.f64 (sqrt.f64 t) x)) z)) |
(/.f64 #s(literal -1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x))))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y (*.f64 (sqrt.f64 t) x)))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) |
(neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 t) (/.f64 x y)) |
(*.f64 x (/.f64 (sqrt.f64 t) y)) |
(pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sqrt.f64 t)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (sqrt.f64 t)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y (sqrt.f64 t)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (sqrt.f64 t))) |
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 t)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 t)) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x (neg.f64 (sqrt.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 t)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 t)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)))) |
(/.f64 x (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/18 binary64) x) y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) y)) x) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/18 binary64) x) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.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)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 #s(literal -1/18 binary64) x)) |
(*.f64 (sqrt.f64 t) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1/18 binary64) x))) |
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x))) (neg.f64 (/.f64 y (sqrt.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)) (/.f64 y (sqrt.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) y) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal -1/18 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 t)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)))) |
Compiled 82 078 to 7 067 computations (91.4% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 945 | 3 | 2 948 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 2 | 2 |
| Total | 2 948 | 6 | 2 954 |
| 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)) |
| 99.6% | (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)) | |
| 98.0% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) #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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) | |
| 96.9% | (/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) | |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64)) |
Compiled 486 to 209 computations (57% 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) (*.f64 y z)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(/.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)))) |
(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 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) 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 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #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 #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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)) #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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) |
(*.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))) (pow.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 -1 binary64))) #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)) |
13 calls:
| 1.0s | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 842.0ms | y |
| 5.0ms | (*.f64 z #s(literal 2 binary64)) |
| 5.0ms | x |
| 5.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.6% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.6% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.6% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.6% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.6% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.6% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.6% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
Total -1.7b remaining (-139.1%)
Threshold costs -1.7b (-139.1%)
| 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) (*.f64 y z)) #s(literal 1/18 binary64))) #s(literal 3 binary64)) |
(/.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)))) |
| 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:
| 42.0ms | x |
| 42.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
| 98.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.1% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
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)))) |
| 5 832× | lower-*.f32 |
| 5 822× | lower-*.f64 |
| 5 262× | lower-fma.f32 |
| 5 260× | lower-fma.f64 |
| 5 128× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 284 |
| 0 | 81 | 278 |
| 1 | 263 | 278 |
| 2 | 1528 | 278 |
| 0 | 8144 | 278 |
| 0 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 69 | 42 |
| 2 | 387 | 36 |
| 3 | 3742 | 36 |
| 0 | 8214 | 36 |
| 0 | 45 | 212 |
| 0 | 68 | 189 |
| 1 | 211 | 187 |
| 2 | 1383 | 185 |
| 0 | 8521 | 185 |
| 0 | 51 | 314 |
| 0 | 92 | 282 |
| 1 | 320 | 260 |
| 2 | 2087 | 260 |
| 0 | 8148 | 260 |
| 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 177 to 116 computations (34.5% saved)
(sort y z)
Compiled 218 to 200 computations (8.3% saved)
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