
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)
| 2.1s | 15 716× | 0 | invalid |
| 1.4s | 8 256× | 0 | valid |
ival-div: 1.0s (41.3% of total)ival-mult: 962.0ms (39.5% of total)ival-sqrt: 213.0ms (8.7% of total)ival-acos: 187.0ms (7.7% of total)exact: 43.0ms (1.8% of total)ival-true: 18.0ms (0.7% of total)ival-assert: 9.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 0 | - | 6 | (-1.1321041015195299e-67 -1.3986852180350706e+255 2.1963706353132213e-191 4.168171936374879e-248) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 17 | 0 | - | 3 | (-2.5695369129886328e-238 2.965685188159265e-61 4.783555631733301e+141 3.744704125144197e+292) | (*.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 | 21 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 60 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 60 | |
*.f64 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | n*u | 14 | 0 |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | o/n | 2 | 0 |
| ↳ | (/.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 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 34 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 34 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 512× | 0 | valid |
Compiled 207 to 58 computations (72% saved)
ival-mult: 14.0ms (39.9% of total)ival-div: 11.0ms (31.3% of total)ival-acos: 5.0ms (14.2% of total)ival-sqrt: 4.0ms (11.4% of total)ival-true: 1.0ms (2.8% of total)exact: 1.0ms (2.8% 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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(sort y z)
Compiled 23 to 18 computations (21.7% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (*.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 23 to 18 computations (21.7% 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 | 704 | (/.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 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(/.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 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 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 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 x (/.f64 #s(literal 1/9 binary64) y)) |
(/.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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | |
| accuracy | 0.96875 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| accuracy | 3.105644647744302 | (*.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 | 5.658191943841014 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 38.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 10.0ms (49.3% of total)ival-div: 5.0ms (24.7% of total)ival-sqrt: 2.0ms (9.9% of total)ival-acos: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#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 (* 1/18 (/ x (* y z))) (taylor 0 x) (#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 (* 1/18 (/ x (* y z))) (taylor 0 x) (#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 (* 1/18 (/ x (* y z))) (taylor 0 x) (#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 (* 1/18 (/ x (* y z))) (taylor inf x) (#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 (* 1/18 (/ x (* y z))) (taylor inf x) (#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 (* 1/18 (/ x (* y z))) (taylor inf x) (#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 (* 1/18 (/ x (* y z))) (taylor inf x) (#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 (* 1/18 (/ x (* y z))) (taylor -inf x) (#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 (* 1/18 (/ x (* y z))) (taylor -inf x) (#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 (* 1/18 (/ x (* y z))) (taylor -inf x) (#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 (* 1/18 (/ x (* y z))) (taylor -inf x) (#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 (* 1/18 (/ x (* y z))) (taylor 0 y) (#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 (* 1/18 (/ x (* y z))) (taylor 0 y) (#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 (* 1/18 (/ x (* y z))) (taylor 0 y) (#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 (* 1/18 (/ x (* y z))) (taylor 0 y) (#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 (* 1/18 (/ x (* y z))) (taylor inf y) (#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>) () ())) ()) |
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#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf 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 (pow (sqrt -1) 2)) (* y z)))) (taylor -inf 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 (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (/ x (* y 27)) |
| 5.0ms | x | @ | 0 | (* 3 (/ x (* y 27))) |
| 2.0ms | x | @ | inf | (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
| 1.0ms | z | @ | 0 | (/ (* 3 (/ x (* y 27))) (* z 2)) |
| 1.0ms | t | @ | -inf | (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
| 1× | egg-herbie |
| 4 158× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 3 468× | lower-/.f32 |
| 3 468× | lower-/.f64 |
| 1 212× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1616 |
| 1 | 66 | 1604 |
| 2 | 197 | 1596 |
| 3 | 725 | 1596 |
| 4 | 2560 | 1596 |
| 5 | 4452 | 1596 |
| 6 | 6233 | 1596 |
| 0 | 8092 | 1596 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/18 (/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* y z))) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 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)))))) |
(* 1/3 (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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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 (* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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 (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)))) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
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| 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 | 55 |
| 0 | 29 | 55 |
| 1 | 69 | 47 |
| 2 | 387 | 41 |
| 3 | 3742 | 41 |
| 0 | 8214 | 41 |
| 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)) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 x (/.f64 #s(literal 3/2 binary64) z)))) |
(/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 #s(literal 54 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) z)) |
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2/3 binary64))) |
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (*.f64 z #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) z)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 z #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 y x) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) z)) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal -27 binary64)) x) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)) z) |
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64)))) |
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) z)) |
(/.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) #s(literal 2/3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 #s(literal 54 binary64) z)) |
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal 27 binary64))) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) y)) |
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 y #s(literal 27 binary64)) z)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 y #s(literal -27 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 27 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 27 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 54 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 3/2 binary64)) (*.f64 y #s(literal 27 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal -27 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) x) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x y)) #s(literal 54 binary64)) |
(/.f64 (*.f64 x (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal 27 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) #s(literal 1 binary64)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) #s(literal -3 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 27 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) z)) #s(literal 54 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal -27 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) #s(literal -27 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 27 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z)) y) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal 27 binary64))) |
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x (*.f64 #s(literal 54 binary64) y))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) y) #s(literal 27 binary64)) |
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64)) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 x #s(literal 1/9 binary64)) y))) (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/9 binary64)))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -54 binary64) y))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) x))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64)))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64)))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))) |
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(pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/27 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64)))) |
(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/27 binary64)) |
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 #s(literal -1/27 binary64) (neg.f64 (/.f64 x y))) |
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/27 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
Compiled 14 668 to 3 054 computations (79.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 761 | 7 | 768 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 762 | 7 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
| 96.9% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) | |
| 97.0% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))) | |
| ▶ | 44.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| ▶ | 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
| ▶ | 97.5% | (*.f64 #s(literal 1/3 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)))) |
| ▶ | 96.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
Compiled 436 to 278 computations (36.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 704 | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) | |
| cost-diff | 320 | (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) | |
| cost-diff | 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))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 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 | 704 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 3 540× | lower-*.f32 |
| 3 504× | lower-*.f64 |
| 2 558× | associate-/r* |
| 2 544× | lower-/.f32 |
| 2 532× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 504 |
| 0 | 109 | 483 |
| 1 | 185 | 446 |
| 2 | 429 | 424 |
| 3 | 1162 | 424 |
| 4 | 2756 | 424 |
| 5 | 3449 | 424 |
| 6 | 3595 | 424 |
| 7 | 3664 | 424 |
| 8 | 3774 | 424 |
| 9 | 3828 | 424 |
| 10 | 5063 | 424 |
| 11 | 5361 | 424 |
| 12 | 6077 | 424 |
| 13 | 6106 | 424 |
| 14 | 6108 | 424 |
| 15 | 6108 | 424 |
| 16 | 6392 | 424 |
| 17 | 6392 | 424 |
| 18 | 6637 | 424 |
| 19 | 6664 | 424 |
| 20 | 6677 | 424 |
| 21 | 6679 | 424 |
| 22 | 6679 | 424 |
| 23 | 6679 | 424 |
| 0 | 8135 | 423 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
#s(literal 1/18 binary64) |
(/.f64 x (*.f64 y z)) |
x |
(*.f64 y z) |
y |
z |
(sqrt.f64 t) |
t |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
#s(literal 1/3 binary64) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
#s(literal 1/18 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y z) |
y |
z |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(literal 1/3 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)))) |
#s(literal 3 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 |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) |
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) |
#s(literal 3 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y (*.f64 z #s(literal 54 binary64))) |
y |
(*.f64 z #s(literal 54 binary64)) |
z |
#s(literal 54 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 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 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) |
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) |
(*.f64 (/.f64 y x) #s(literal 9 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 9 binary64) |
#s(literal -1 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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
#s(literal 1/18 binary64) |
(/.f64 x (*.f64 y z)) |
x |
(*.f64 y z) |
y |
z |
(sqrt.f64 t) |
t |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))) |
#s(literal 1/3 binary64) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) |
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
#s(literal 1/18 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y z) |
y |
z |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))) |
#s(literal 1/3 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 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) |
(*.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 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(/.f64 x (*.f64 y #s(literal 9 binary64))) |
#s(literal 3 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 |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(*.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) #s(literal -1/3 binary64)) |
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) |
(neg.f64 (asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))))) |
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(asin.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) |
#s(literal 3 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y (*.f64 z #s(literal 54 binary64))) |
(*.f64 (*.f64 y z) #s(literal 54 binary64)) |
y |
(*.f64 z #s(literal 54 binary64)) |
z |
#s(literal 54 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 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 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64)))) |
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) |
(/.f64 x (*.f64 (*.f64 y z) #s(literal 18 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) |
(/.f64 x (*.f64 y #s(literal 9 binary64))) |
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (*.f64 y (/.f64 #s(literal 9 binary64) x)))) |
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) |
(log.f64 (*.f64 y (/.f64 #s(literal 9 binary64) x))) |
(*.f64 (/.f64 y x) #s(literal 9 binary64)) |
(*.f64 y (/.f64 #s(literal 9 binary64) x)) |
(/.f64 y x) |
y |
x |
#s(literal 9 binary64) |
#s(literal -1 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8106874611616213 | (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) | |
| accuracy | 1.9071359334385949 | (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | |
| accuracy | 2.6948578234740044 | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 8.093907335679189 | (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) | |
| accuracy | 0.1484375 | (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) | |
| accuracy | 0.43359375 | (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) | |
| accuracy | 2.8669547845216834 | (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) | |
| accuracy | 33.66324293489355 | (PI.f64) | |
| accuracy | 0.09765625 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | |
| accuracy | 0.4375 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| accuracy | 1.9071359334385949 | (*.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 | 2.6948578234740044 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.09375 | (*.f64 x (sqrt.f64 t)) | |
| accuracy | 0.12728500976844204 | (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) | |
| accuracy | 0.4375 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) | |
| accuracy | 2.9099235345216834 | (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) | |
| accuracy | 0.125 | (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) | |
| accuracy | 0.4375 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) | |
| accuracy | 1.9071359334385949 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) | |
| accuracy | 2.386801215611427 | (/.f64 x (*.f64 y z)) |
| 84.0ms | 139× | 0 | invalid |
| 49.0ms | 117× | 0 | valid |
Compiled 471 to 55 computations (88.3% saved)
ival-mult: 61.0ms (60% of total)ival-div: 15.0ms (14.8% of total)ival-acos: 6.0ms (5.9% of total)const: 6.0ms (5.9% of total)ival-exp: 3.0ms (3% of total)ival-asin: 2.0ms (2% of total)ival-log: 2.0ms (2% of total)ival-sqrt: 2.0ms (2% of total)ival-pi: 1.0ms (1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (patch (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) (patch (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) #<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 #s(literal 1/3 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 #s(literal 1/3 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 (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 (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 (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) #s(literal 1/2 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y z)) (patch (/.f64 x (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (patch (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sqrt.f64 t)) (patch (*.f64 x (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>) () ()) |
#s(alt (/.f64 x (*.f64 y #s(literal 27 binary64))) (patch (/.f64 x (*.f64 y #s(literal 27 binary64))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (patch (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) (patch (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 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 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) (patch (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
252 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | y | @ | 0 | (* (log (* (/ y x) 9)) -1) |
| 35.0ms | x | @ | -inf | (* (log (* (/ y x) 9)) -1) |
| 20.0ms | y | @ | -inf | (* (log (* (/ y x) 9)) -1) |
| 18.0ms | x | @ | 0 | (* (log (* (/ y x) 9)) -1) |
| 7.0ms | y | @ | inf | (* (log (* (/ y x) 9)) -1) |
| 1× | egg-herbie |
| 4 130× | lower-*.f64 |
| 4 130× | lower-*.f32 |
| 3 074× | lower-fma.f64 |
| 3 074× | lower-fma.f32 |
| 2 508× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 10196 |
| 1 | 197 | 10028 |
| 2 | 455 | 9980 |
| 3 | 1263 | 9980 |
| 4 | 2566 | 9980 |
| 5 | 5178 | 9980 |
| 6 | 6799 | 9968 |
| 0 | 8015 | 9920 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* 1/18 (/ 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 (* y z))) |
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(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
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(* 1/18 (/ 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 (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* -1 (+ (log y) (log (/ 9 x)))) |
(* -1 (+ (log y) (log (/ 9 x)))) |
(* -1 (+ (log y) (log (/ 9 x)))) |
(* -1 (+ (log y) (log (/ 9 x)))) |
(* -1 (+ (log (/ 9 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 9 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 9 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 9 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ -9 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -9 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -9 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (/ -9 x)) (* -1 (log (/ -1 y))))) |
(* -1 (+ (log (* 9 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 9 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 9 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 9 y)) (* -1 (log x)))) |
(* -1 (+ (log (* 9 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 9 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 9 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* 9 y)) (log (/ 1 x)))) |
(* -1 (+ (log (* -9 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -9 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -9 y)) (log (/ -1 x)))) |
(* -1 (+ (log (* -9 y)) (log (/ -1 x)))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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 (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)))) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* 3 (* (sqrt t) x)) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(+ (log y) (log (/ 9 x))) |
(+ (log y) (log (/ 9 x))) |
(+ (log y) (log (/ 9 x))) |
(+ (log y) (log (/ 9 x))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(+ (log (* 9 y)) (* -1 (log x))) |
(+ (log (* 9 y)) (* -1 (log x))) |
(+ (log (* 9 y)) (* -1 (log x))) |
(+ (log (* 9 y)) (* -1 (log x))) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(+ (log (* -9 y)) (log (/ -1 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* -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)))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* 3 (* (sqrt t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) |
(+ (log y) (log (/ 9 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log y) (log (/ 9 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log y) (log (/ 9 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log y) (log (/ 9 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log (/ 9 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 9 binary64) x))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (/ -9 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -9 binary64) x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (* 9 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* 9 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 9 binary64))) (log.f64 x)) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -9 y)) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal -9 binary64))) (log.f64 (neg.f64 x))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
| 5 232× | lower-*.f32 |
| 5 196× | lower-*.f64 |
| 4 222× | lower-/.f32 |
| 4 210× | lower-/.f64 |
| 3 998× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 338 |
| 0 | 103 | 322 |
| 1 | 259 | 294 |
| 2 | 1450 | 273 |
| 0 | 8342 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(/.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 #s(literal 1/3 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 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64)) |
(/.f64 x (*.f64 y z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(*.f64 x (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 x (*.f64 y #s(literal 27 binary64))) |
(PI.f64) |
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) |
(log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) |
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))))) |
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(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) #s(literal 54 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y (neg.f64 z))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal 54 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y (neg.f64 z))) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 #s(literal -3 binary64) y)) |
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 54 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y (neg.f64 z))) (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal 54 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 y z)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (sqrt.f64 t) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 y z)) (/.f64 (sqrt.f64 t) #s(literal -54 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 z #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 y z)) (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -54 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) z)) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (neg.f64 z)) (/.f64 (neg.f64 (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) y) (/.f64 (sqrt.f64 t) (neg.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) z) (/.f64 (sqrt.f64 t) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))) |
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 54 binary64)) (/.f64 (*.f64 x (sqrt.f64 t)) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/54 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 54 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal -1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (/.f64 z x))) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64))) |
Compiled 77 653 to 6 666 computations (91.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 790 | 4 | 3 794 |
| Fresh | 2 | 0 | 2 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 797 | 4 | 3 801 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
| ▶ | 97.0% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
| ▶ | 98.0% | (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
| ▶ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
Compiled 88 to 67 computations (23.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) | |
| cost-diff | 320 | (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) | |
| cost-diff | 0 | (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
| 2 836× | lower-*.f32 |
| 2 802× | lower-*.f64 |
| 1 088× | lower-fma.f32 |
| 1 084× | lower-fma.f64 |
| 1 038× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 387 |
| 0 | 89 | 379 |
| 1 | 162 | 366 |
| 2 | 384 | 358 |
| 3 | 949 | 358 |
| 4 | 2091 | 358 |
| 5 | 3256 | 358 |
| 6 | 3446 | 358 |
| 7 | 3699 | 358 |
| 8 | 3981 | 358 |
| 9 | 4103 | 358 |
| 10 | 4610 | 358 |
| 11 | 4693 | 358 |
| 12 | 4707 | 358 |
| 13 | 4724 | 358 |
| 14 | 4733 | 358 |
| 15 | 4735 | 358 |
| 16 | 4735 | 358 |
| 17 | 4765 | 358 |
| 0 | 4765 | 357 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
z |
y |
(sqrt.f64 t) |
t |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
(*.f64 y z) |
y |
z |
(sqrt.f64 t) |
t |
#s(literal 1/3 binary64) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(PI.f64) |
#s(literal 1/6 binary64) |
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) |
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) |
x |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
(sqrt.f64 t) |
t |
#s(literal 1/18 binary64) |
(*.f64 y z) |
y |
z |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) |
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) |
#s(literal 3 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y (*.f64 z #s(literal 54 binary64))) |
y |
(*.f64 z #s(literal 54 binary64)) |
z |
#s(literal 54 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
z |
y |
(sqrt.f64 t) |
t |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(sqrt.f64 t) |
t |
#s(literal 1/3 binary64) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(PI.f64) |
#s(literal 1/6 binary64) |
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) |
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
x |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(sqrt.f64 t) |
t |
#s(literal 1/18 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
(neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) |
(neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) |
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y (*.f64 z #s(literal 54 binary64))) |
(*.f64 z (*.f64 y #s(literal 54 binary64))) |
y |
(*.f64 z #s(literal 54 binary64)) |
z |
#s(literal 54 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.96484375 | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) | |
| accuracy | 1.0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 7.422854746295888 | (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) | |
| accuracy | 0.2421875 | (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) | |
| accuracy | 0.33984375 | (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) | |
| accuracy | 0.96484375 | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) | |
| accuracy | 7.521900311953724 | (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) | |
| accuracy | 0.33203125 | (*.f64 x #s(literal 1/18 binary64)) | |
| accuracy | 0.96875 | (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) | |
| accuracy | 3.105644647744302 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) | |
| accuracy | 6.198893877080558 | (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) | |
| accuracy | 0.33203125 | (*.f64 x #s(literal 1/18 binary64)) | |
| accuracy | 0.96875 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) | |
| accuracy | 3.105644647744302 | (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) | |
| accuracy | 5.254065385274179 | (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
| 108.0ms | 256× | 0 | valid |
Compiled 359 to 56 computations (84.4% saved)
ival-mult: 37.0ms (46.6% of total)const: 12.0ms (15.1% of total)ival-div: 11.0ms (13.9% of total)ival-sqrt: 6.0ms (7.6% of total)ival-acos: 4.0ms (5% of total)ival-asin: 3.0ms (3.8% of total)ival-add: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) (patch (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) (patch (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) (patch (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) (patch (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) (patch (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (patch #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) (patch (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (patch (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/18 binary64)) (patch (*.f64 x #s(literal 1/18 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (patch (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) (patch (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (patch (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (patch (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/18 (* (sqrt t) x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor 0 t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) x)) (taylor inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) (taylor -inf t) (#s(alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (patch (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ()) |
195 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | -inf | (* (sqrt t) 1/18) |
| 0.0ms | x | @ | -inf | (* x 1/18) |
| 0.0ms | x | @ | inf | (* x 1/18) |
| 0.0ms | x | @ | 0 | (* x 1/18) |
| 0.0ms | t | @ | 0 | (* (sqrt t) 1/18) |
| 1× | egg-herbie |
| 4 002× | lower-*.f64 |
| 4 002× | lower-*.f32 |
| 3 084× | lower-fma.f64 |
| 3 084× | lower-fma.f32 |
| 2 428× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 8796 |
| 1 | 87 | 8688 |
| 2 | 233 | 8616 |
| 3 | 951 | 8616 |
| 4 | 2138 | 8616 |
| 5 | 3887 | 8616 |
| 6 | 5133 | 8616 |
| 7 | 7364 | 8616 |
| 0 | 8010 | 8520 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/18 (/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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 (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)))))) |
(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))))) |
(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))))) |
(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))))) |
(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))))) |
(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))))) |
(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))))) |
(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))))) |
(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))))) |
(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 (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
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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)))) |
(* 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 (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)))) |
(* 1/3 (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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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)))))) |
(* 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 (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)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 x) |
(* 1/18 (/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)))) |
(* 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)))) |
(* 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 (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 (* 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)))) |
(* 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)))) |
(* 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)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* 1/18 (sqrt t)) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* 1/18 (* (sqrt t) x)) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/18 (/ x (* y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* 1/18 (* (sqrt t) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
| 5 324× | lower-*.f32 |
| 5 290× | lower-*.f64 |
| 4 560× | lower-/.f32 |
| 4 550× | lower-/.f64 |
| 2 414× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 280 |
| 0 | 89 | 247 |
| 1 | 262 | 232 |
| 2 | 1636 | 224 |
| 0 | 8492 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(PI.f64) |
(*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)) |
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/18 binary64)) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 y))) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z y))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z)) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 18 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 z (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x #s(literal 1/18 binary64))) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))) y))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) (neg.f64 (*.f64 z (neg.f64 y)))) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z))) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 18 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z #s(literal 18 binary64)) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64))) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/18 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 y (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 z (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) (*.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (*.f64 z (neg.f64 y))))) |
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(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 18 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y (*.f64 x #s(literal 1/18 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y (*.f64 x #s(literal -1/18 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) (neg.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 y)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) z)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 z y))) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -1/18 binary64)))) (/.f64 (sqrt.f64 t) (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/54 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 54 binary64) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 (/.f64 (sqrt.f64 t) y) #s(literal 54 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (*.f64 z y) #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 54 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 54 binary64)) (/.f64 (/.f64 (sqrt.f64 t) y) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 y #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 #s(literal 54 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) #s(literal 54 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (sqrt.f64 t)) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 #s(literal -3 binary64) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 z (neg.f64 y))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal 54 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 z #s(literal 54 binary64)))) (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z (neg.f64 y))) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (neg.f64 y))) (/.f64 (neg.f64 (sqrt.f64 t)) #s(literal 54 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) y) (/.f64 x (*.f64 z #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 z y)) (*.f64 x #s(literal 1/54 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (*.f64 z y)) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) z)) |
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -3 binary64) (*.f64 z y)) (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -54 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 y #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -54 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 54 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 54 binary64))) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 54 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) z) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 x #s(literal 3 binary64)) z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) y) (/.f64 (sqrt.f64 t) (neg.f64 (*.f64 z #s(literal 54 binary64))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 z y)) (/.f64 (sqrt.f64 t) #s(literal -54 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 z #s(literal 54 binary64))) (/.f64 (sqrt.f64 t) (neg.f64 y))) |
(*.f64 (/.f64 x (*.f64 y #s(literal 54 binary64))) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) z)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 (*.f64 z y) #s(literal 54 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 y #s(literal 54 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 54 binary64)) (/.f64 (*.f64 x (sqrt.f64 t)) z)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (PI.f64)) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
Compiled 63 453 to 6 319 computations (90% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 740 | 3 | 2 743 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 2 741 | 6 | 2 747 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
| ▶ | 98.4% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
| ✓ | 97.0% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
| ▶ | 99.5% | (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
| ✓ | 98.0% | (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
| ✓ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
Compiled 144 to 108 computations (25% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 128 | (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) | |
| cost-diff | 768 | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) | |
| cost-diff | 1600 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 (PI.f64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
| 17 986× | lower-fma.f32 |
| 17 978× | lower-fma.f64 |
| 3 642× | lower-*.f32 |
| 3 612× | lower-*.f64 |
| 1 334× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 465 |
| 0 | 90 | 468 |
| 1 | 165 | 440 |
| 2 | 339 | 426 |
| 3 | 717 | 423 |
| 4 | 1331 | 419 |
| 5 | 2753 | 419 |
| 6 | 3569 | 419 |
| 7 | 4547 | 419 |
| 8 | 6552 | 419 |
| 9 | 7913 | 419 |
| 0 | 8022 | 416 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))) |
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) |
(sqrt.f64 t) |
t |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
x |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
#s(literal 1/18 binary64) |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
(PI.f64) |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(*.f64 x (*.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 |
(*.f64 z y) |
z |
y |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) |
(neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) |
(asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
z |
(sqrt.f64 t) |
t |
y |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) |
(-.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))) |
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))) |
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))) |
(asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) |
(sqrt.f64 t) |
t |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) |
x |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
(/.f64 #s(literal 1/18 binary64) (*.f64 y z)) |
#s(literal 1/18 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 1/3 binary64) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(PI.f64) |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) #s(literal -1/6 binary64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)))) |
(neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 x (*.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 |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) |
(neg.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) |
(asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) |
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) z) |
(*.f64 x #s(literal 1/18 binary64)) |
x |
#s(literal 1/18 binary64) |
z |
(sqrt.f64 t) |
t |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 2.521544742295987 | (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) | |
| accuracy | 6.929263688478013 | (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) | |
| accuracy | 0.96484375 | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 7.521900311953724 | (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) | |
| accuracy | 59.43167113704145 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 1.1508916707312933 | (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) | |
| accuracy | 3.105644647744302 | (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) | |
| accuracy | 5.565429804012838 | (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
| 231.0ms | 138× | 2 | valid |
| 142.0ms | 105× | 1 | valid |
| 5.0ms | 13× | 0 | valid |
Compiled 426 to 57 computations (86.6% saved)
ival-mult: 97.0ms (30.6% of total)ival-div: 75.0ms (23.6% of total)ival-sqrt: 59.0ms (18.6% of total)adjust: 23.0ms (7.3% of total)const: 22.0ms (6.9% of total)ival-acos: 11.0ms (3.5% of total)ival-add: 11.0ms (3.5% of total)ival-neg: 9.0ms (2.8% of total)ival-asin: 7.0ms (2.2% of total)ival-pi: 3.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) (patch (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (patch (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (sqrt.f64 (PI.f64))) (patch (sqrt.f64 (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) (patch (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) (patch (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (patch (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) (patch (*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) (taylor -inf t) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) (patch (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/18 (* (sqrt t) (/ x z))) (taylor inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) (taylor -inf t) (#s(alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) (patch (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | t | @ | 0 | (* (+ (* (* (sqrt (sqrt (PI))) 1/2) (sqrt (* (PI) (sqrt (PI))))) (neg (asin (* (sqrt t) (/ (* 3 (/ x (* y 27))) (* z 2)))))) 1/3) |
| 1.0ms | t | @ | -inf | (* (/ (* x 1/18) z) (sqrt t)) |
| 1.0ms | x | @ | 0 | (* (/ (* x 1/18) z) (sqrt t)) |
| 1.0ms | x | @ | inf | (* (/ (* x 1/18) z) (sqrt t)) |
| 0.0ms | y | @ | inf | (/ 1/18 (* z y)) |
| 1× | egg-herbie |
| 4 924× | lower-fma.f64 |
| 4 924× | lower-fma.f32 |
| 3 534× | lower-*.f64 |
| 3 534× | lower-*.f32 |
| 2 468× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 7760 |
| 1 | 112 | 7676 |
| 2 | 291 | 7620 |
| 3 | 909 | 7428 |
| 4 | 2332 | 7236 |
| 5 | 3885 | 7236 |
| 6 | 5487 | 7236 |
| 7 | 7847 | 7236 |
| 0 | 8164 | 7092 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
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(* -1/3 (- (* 1/2 (PI)) (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 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 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)))) |
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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)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 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)))) |
(* 1/18 (* (sqrt t) (/ x (* 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 (* (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)))) |
(* 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 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* -1/3 (asin (* 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))) |
(* 1/18 (/ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 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)))) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* 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 (* (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)))) |
(* 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)))) |
(* 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)))) |
(* 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 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* y z)) |
(/ 1/18 (* 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)))) |
(* 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)))) |
(* 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 (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 (* y z)))) |
(* 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)))) |
(* 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)))) |
(* 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)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* 1/18 (* (sqrt t) (/ x z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
| Outputs |
|---|
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
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(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
| 8 556× | lower-fma.f32 |
| 8 548× | lower-fma.f64 |
| 4 768× | lower-*.f32 |
| 4 738× | lower-*.f64 |
| 4 104× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 270 |
| 0 | 90 | 243 |
| 1 | 282 | 182 |
| 2 | 1975 | 176 |
| 0 | 8202 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64)) |
(PI.f64) |
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
(sqrt.f64 (PI.f64)) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))))))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) |
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(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (PI.f64)) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
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(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
Compiled 66 033 to 5 877 computations (91.1% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 109 | 3 | 2 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 3 | 3 |
| Total | 2 112 | 6 | 2 118 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) | |
| 99.5% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) | |
| ✓ | 97.0% | (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
| 98.0% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) | |
| ✓ | 98.0% | (*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
| ✓ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
Compiled 557 to 242 computations (56.6% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64))) #s(literal -1 binary64))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
13 calls:
| 103.0ms | (sqrt.f64 t) |
| 100.0ms | t |
| 99.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 6.0ms | x |
| 6.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 100.0% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 100.0% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 100.0% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 100.0% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 100.0% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 100.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 100.0% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) |
13 calls:
| 109.0ms | (sqrt.f64 t) |
| 94.0ms | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 5.0ms | z |
| 5.0ms | (*.f64 z #s(literal 2 binary64)) |
| 5.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 100.0% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 100.0% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 100.0% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 100.0% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 100.0% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 100.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 100.0% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))))) #s(literal -1/3 binary64))) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
13 calls:
| 29.0ms | z |
| 17.0ms | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 4.0ms | (*.f64 z #s(literal 2 binary64)) |
| 4.0ms | y |
| 4.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.5% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.5% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.5% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.5% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.5% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.5% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.5% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))))))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
13 calls:
| 6.0ms | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 4.0ms | z |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
| 98.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.5% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.5% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.5% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.5% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.5% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.5% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.5% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
13 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | t |
| 98.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.0% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.0% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.0% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.0% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.0% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.0% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.0% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
13 calls:
| 4.0ms | z |
| 1.0ms | (*.f64 y #s(literal 27 binary64)) |
| 1.0ms | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 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)))) |
| 96.9% | 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))) |
| 96.9% | 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)) |
| 96.9% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 96.9% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 96.9% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 96.9% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 96.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.9% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 144 |
| 1 | 109 | 144 |
| 2 | 121 | 144 |
| 3 | 130 | 144 |
| 4 | 133 | 144 |
| 5 | 134 | 144 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y))) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) (neg.f64 #s(literal 1/3 binary64)))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))) x)))) #s(literal -1/3 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64)))))))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z y))))) |
| 8 556× | lower-fma.f32 |
| 8 548× | lower-fma.f64 |
| 5 832× | lower-*.f32 |
| 5 822× | lower-*.f64 |
| 5 324× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 270 |
| 0 | 90 | 243 |
| 1 | 282 | 182 |
| 2 | 1975 | 176 |
| 0 | 8202 | 176 |
| 0 | 53 | 280 |
| 0 | 89 | 247 |
| 1 | 262 | 232 |
| 2 | 1636 | 224 |
| 0 | 8492 | 224 |
| 0 | 31 | 1616 |
| 1 | 66 | 1604 |
| 2 | 197 | 1596 |
| 3 | 725 | 1596 |
| 4 | 2560 | 1596 |
| 5 | 4452 | 1596 |
| 6 | 6233 | 1596 |
| 0 | 8092 | 1596 |
| 0 | 18 | 55 |
| 0 | 29 | 55 |
| 1 | 69 | 47 |
| 2 | 387 | 41 |
| 3 | 3742 | 41 |
| 0 | 8214 | 41 |
| 0 | 64 | 338 |
| 0 | 103 | 322 |
| 1 | 259 | 294 |
| 2 | 1450 | 273 |
| 0 | 8342 | 273 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 595 to 333 computations (44% saved)
(sort y z)
Compiled 762 to 508 computations (33.3% saved)
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