
Time bar (total: 21.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 3.2s | 15 517× | 0 | invalid |
| 1.2s | 8 256× | 0 | valid |
ival-mult: 1.6s (54.9% of total)ival-div: 690.0ms (24.1% of total)ival-acos: 364.0ms (12.7% of total)ival-sqrt: 165.0ms (5.8% of total)exact: 41.0ms (1.4% of total)ival-true: 18.0ms (0.6% of total)ival-assert: 10.0ms (0.3% of total)| 2× | egg-herbie |
| 2 044× | *-lowering-*.f32 |
| 2 044× | *-lowering-*.f64 |
| 1 430× | associate-*r/ |
| 1 168× | associate-*r* |
| 1 118× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 263 |
| 1 | 281 | 227 |
| 2 | 988 | 197 |
| 3 | 3692 | 197 |
| 4 | 4350 | 197 |
| 5 | 5170 | 197 |
| 6 | 6243 | 197 |
| 0 | 19 | 17 |
| 1 | 39 | 15 |
| 2 | 117 | 13 |
| 3 | 392 | 13 |
| 4 | 1386 | 13 |
| 5 | 3148 | 13 |
| 6 | 3240 | 13 |
| 7 | 3290 | 13 |
| 8 | 3290 | 13 |
| 9 | 3290 | 13 |
| 10 | 3913 | 13 |
| 11 | 3952 | 13 |
| 12 | 3952 | 13 |
| 0 | 3952 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
| Outputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| Inputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z)))) |
| Outputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))) |
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))) |
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))) |
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))) |
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t))))) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))) |
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))) |
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))) |
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3) |
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))) |
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3) |
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t)))) |
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t)))) |
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x))))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x)))) |
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t)))) |
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y)))) |
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y)))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z)))) |
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z)))) |
(sort y z)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 2 | (-2.7797346304729475e-71 -2.1886396422820817e+288 2.2209804148589163e-38 7.28400782521429e-107) | 5 | (5.169688025586545e-276 -3.946332661082351e+42 5.907551236057106e-125 1.53941784825355e+49) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 13 | 0 | - | 2 | (3.3263555564639876e-281 1.890648596914153e-272 1.1775709013230325e+303 2.1807674732572765e+68) | (*.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 | 28 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 65 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 65 | |
*.f64 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | n*u | 11 | 0 |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | o/n | 1 | 0 |
| ↳ | (*.f64 y #s(literal 27 binary64)) | overflow | 1 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | overflow | 1 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 38 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 38 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 512× | 0 | valid |
Compiled 230 to 76 computations (67% saved)
ival-mult: 13.0ms (37.2% of total)ival-div: 12.0ms (34.3% of total)ival-acos: 5.0ms (14.3% of total)ival-sqrt: 4.0ms (11.4% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
Compiled 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 | 128 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 2 044× | *-lowering-*.f32 |
| 2 044× | *-lowering-*.f64 |
| 1 430× | associate-*r/ |
| 1 168× | associate-*r* |
| 1 118× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 86 |
| 1 | 39 | 76 |
| 2 | 117 | 68 |
| 3 | 392 | 68 |
| 4 | 1386 | 68 |
| 5 | 3148 | 68 |
| 6 | 3240 | 68 |
| 7 | 3290 | 68 |
| 8 | 3290 | 68 |
| 9 | 3290 | 68 |
| 10 | 3913 | 68 |
| 11 | 3952 | 68 |
| 12 | 3952 | 68 |
| 0 | 3952 | 68 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(/ 1 3) |
1 |
3 |
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
(/ (* 3 (/ x (* y 27))) (* z 2)) |
(* 3 (/ x (* y 27))) |
(/ x (* y 27)) |
x |
(* y 27) |
y |
27 |
(* z 2) |
z |
2 |
(sqrt t) |
t |
| Outputs |
|---|
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
(/ 1 3) |
#s(literal 1/3 binary64) |
1 |
#s(literal 1 binary64) |
3 |
#s(literal 3 binary64) |
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))) |
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)) |
(/ (* 3 (/ x (* y 27))) (* z 2)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) |
(* 3 (/ x (* y 27))) |
(*.f64 x (/.f64 #s(literal 1/9 binary64) y)) |
(/ x (* y 27)) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
x |
(* y 27) |
(*.f64 y #s(literal 27 binary64)) |
y |
27 |
#s(literal 27 binary64) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(sqrt t) |
(sqrt.f64 t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| ✓ | accuracy | 98.5% | (*.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)))) |
| ✓ | accuracy | 96.0% | (*.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 | 89.2% | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 62.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 40.0ms (80% of total)ival-div: 5.0ms (10% of total)ival-sqrt: 2.0ms (4% of total)ival-acos: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 3)> |
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))> |
#<alt (* 3 (/ x (* y 27)))> |
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))> |
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))> |
| Outputs |
|---|
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/18 (/ x (* y z)))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/ (* 3 (/ x (* y 27))) (* z 2)) |
| 2.0ms | x | @ | inf | (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
| 2.0ms | x | @ | 0 | (/ (* 3 (/ x (* y 27))) (* z 2)) |
| 1.0ms | z | @ | 0 | (/ (* 3 (/ x (* y 27))) (* z 2)) |
| 1.0ms | t | @ | -inf | (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
| 1× | batch-egg-rewrite |
| 5 832× | *-lowering-*.f32 |
| 5 832× | *-lowering-*.f64 |
| 3 672× | /-lowering-/.f32 |
| 3 672× | /-lowering-/.f64 |
| 1 650× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 50 |
| 1 | 59 | 42 |
| 2 | 377 | 36 |
| 3 | 3741 | 36 |
| 0 | 8207 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 3) |
(/ (* 3 (/ x (* y 27))) (* z 2)) |
(* 3 (/ x (* y 27))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 54 binary64)))) |
(/.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 (*.f64 #s(literal 54 binary64) y) x))) |
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 54 binary64) y) x) z)) |
(/.f64 x (*.f64 (/.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (/.f64 z #s(literal 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 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal 9 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)) 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 (*.f64 #s(literal 54 binary64) y) x)) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 z #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 9 binary64) (/.f64 x y))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y))) |
(/.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 x y) (*.f64 (/.f64 z #s(literal 3 binary64)) #s(literal 54 binary64))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal -2/3 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z) #s(literal -2 binary64)) |
(/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) (*.f64 (/.f64 z #s(literal 3 binary64)) #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 (/.f64 #s(literal 27 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 #s(literal 54 binary64) y) x))) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 54 binary64) y) x) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 27 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 54 binary64)) z) |
(/.f64 #s(literal 3/2 binary64) (/.f64 z (/.f64 x (*.f64 y #s(literal 27 binary64))))) |
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y)) 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 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)) #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 #s(literal 27 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 z #s(literal 2 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 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 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 binary64)) (*.f64 z #s(literal 54 binary64))) |
(/.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 binary64)) (*.f64 y (*.f64 z #s(literal 2 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 54 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (/.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 z #s(literal 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 #s(literal 18 binary64) (/.f64 x 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 (*.f64 #s(literal 3 binary64) x) y) #s(literal 54 binary64))) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x 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 #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) x) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 54 binary64) y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 0 binary64) 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) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 54 binary64))) 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 (/.f64 x y) #s(literal 54 binary64)) #s(literal 1 binary64)) (/.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 #s(literal 27 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) #s(literal -27 binary64)) |
(/.f64 (*.f64 (/.f64 x #s(literal 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 (/.f64 x y) #s(literal 54 binary64))) (-.f64 #s(literal 0 binary64) z)) |
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(pow.f64 (/.f64 (/.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) (sqrt.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 z (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 #s(literal 54 binary64) y))) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 9 binary64) (/.f64 x y))))) |
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(*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) |
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(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))) |
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(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z))) #s(literal 3/2 binary64)) |
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(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z)) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2/3 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y)) |
| 1× | egg-herbie |
| 4 146× | *-lowering-*.f32 |
| 4 146× | *-lowering-*.f64 |
| 3 464× | /-lowering-/.f32 |
| 3 464× | /-lowering-/.f64 |
| 1 210× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 1496 |
| 1 | 61 | 1484 |
| 2 | 190 | 1476 |
| 3 | 715 | 1476 |
| 4 | 2529 | 1476 |
| 5 | 4417 | 1476 |
| 6 | 6206 | 1476 |
| 0 | 8065 | 1476 |
| 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))) |
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(* 1/18 (/ x (* y z))) |
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(* 1/18 (/ x (* y z))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (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)))) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y) |
(* 1/18 (/ x (* y z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) 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)) |
(/.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) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
Compiled 12 323 to 2 570 computations (79.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 2 | 674 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 673 | 2 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ▶ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
Compiled 78 to 42 computations (46.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
| ✓ | cost-diff | 0 | (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
| 7 692× | accelerator-lowering-fma.f32 |
| 7 692× | accelerator-lowering-fma.f64 |
| 3 520× | *-lowering-*.f32 |
| 3 520× | *-lowering-*.f64 |
| 1 242× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 311 |
| 1 | 73 | 311 |
| 2 | 163 | 311 |
| 3 | 372 | 311 |
| 4 | 712 | 311 |
| 5 | 1061 | 311 |
| 6 | 1496 | 311 |
| 7 | 2354 | 311 |
| 8 | 4277 | 311 |
| 9 | 6202 | 311 |
| 10 | 7279 | 311 |
| 11 | 7729 | 311 |
| 12 | 7837 | 311 |
| 13 | 7902 | 311 |
| 0 | 8234 | 303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (/ (/ (* 1/18 (* x (sqrt t))) y) z))) |
1/3 |
(acos (/ (/ (* 1/18 (* x (sqrt t))) y) z)) |
(/ (/ (* 1/18 (* x (sqrt t))) y) z) |
(/ (* 1/18 (* x (sqrt t))) y) |
(* 1/18 (* x (sqrt t))) |
1/18 |
(* x (sqrt t)) |
x |
(sqrt t) |
t |
y |
z |
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
(PI) |
(* (PI) (PI)) |
8 |
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3) |
(asin (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(sqrt t) |
t |
(* z (/ 18 (/ x y))) |
z |
(/ 18 (/ x y)) |
18 |
(/ x y) |
x |
y |
3 |
1/3 |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))) |
(/ (* (PI) (PI)) 4) |
4 |
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))) |
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) |
(/ (PI) 2) |
2 |
| Outputs |
|---|
(* 1/3 (acos (/ (/ (* 1/18 (* x (sqrt t))) 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 |
#s(literal 1/3 binary64) |
(acos (/ (/ (* 1/18 (* x (sqrt t))) y) z)) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) |
(/ (/ (* 1/18 (* x (sqrt t))) y) z) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)) |
(/ (* 1/18 (* x (sqrt t))) y) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y)) |
(* 1/18 (* x (sqrt t))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
1/18 |
#s(literal 1/18 binary64) |
(* x (sqrt t)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt t) |
(sqrt.f64 t) |
t |
y |
z |
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))))))) |
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3) |
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) #s(literal 3 binary64)) |
(asin (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)) |
(sqrt t) |
(sqrt.f64 t) |
t |
(* z (/ 18 (/ x y))) |
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x) |
z |
(/ 18 (/ x y)) |
(/.f64 #s(literal 18 binary64) (/.f64 x y)) |
18 |
#s(literal 18 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
3 |
#s(literal 3 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))) |
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) |
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 95.4% | (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
| ✓ | accuracy | 88.1% | (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) |
| ✓ | accuracy | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
| ✓ | accuracy | 95.8% | (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) |
| ✓ | accuracy | 89.5% | (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z) |
| 86.0ms | 256× | 0 | valid |
Compiled 323 to 38 computations (88.2% saved)
ival-div: 18.0ms (34.4% of total)ival-mult: 13.0ms (24.8% of total)const: 6.0ms (11.5% of total)ival-pow: 4.0ms (7.6% of total)ival-add: 2.0ms (3.8% of total)ival-acos: 2.0ms (3.8% of total)ival-asin: 2.0ms (3.8% of total)ival-sqrt: 2.0ms (3.8% of total)ival-pi: 1.0ms (1.9% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/3 (acos (/ (/ (* 1/18 (* x (sqrt t))) y) z)))> |
#<alt (acos (/ (/ (* 1/18 (* x (sqrt t))) y) z))> |
#<alt (/ (/ (* 1/18 (* x (sqrt t))) y) z)> |
#<alt (/ (* 1/18 (* x (sqrt t))) y)> |
#<alt (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))> |
#<alt (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))> |
#<alt (/ (* (PI) (* (PI) (PI))) 8)> |
#<alt (* 1/18 (* x (sqrt t)))> |
#<alt (* z (/ 18 (/ x y)))> |
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))> |
#<alt (* (PI) (* (PI) (PI)))> |
| Outputs |
|---|
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/18 (* (sqrt t) (/ x y)))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 5.0ms | t | @ | 0 | (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 5.0ms | x | @ | inf | (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 3.0ms | t | @ | inf | (* 1/3 (acos (/ (/ (* 1/18 (* x (sqrt t))) y) z))) |
| 3.0ms | t | @ | -inf | (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 1× | batch-egg-rewrite |
| 5 018× | *-lowering-*.f32 |
| 5 018× | *-lowering-*.f64 |
| 4 998× | /-lowering-/.f32 |
| 4 998× | /-lowering-/.f64 |
| 3 928× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 168 |
| 1 | 201 | 126 |
| 2 | 1562 | 126 |
| 0 | 8544 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (/ (/ (* 1/18 (* x (sqrt t))) y) z))) |
(acos (/ (/ (* 1/18 (* x (sqrt t))) y) z)) |
(/ (/ (* 1/18 (* x (sqrt t))) y) z) |
(/ (* 1/18 (* x (sqrt t))) y) |
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* 1/18 (* x (sqrt t))) |
(* z (/ 18 (/ x y))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(* (PI) (* (PI) (PI))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) z))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y z))) (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (neg.f64 (*.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y))))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (neg.f64 (*.f64 y z))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64))) (neg.f64 (neg.f64 (*.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64))) (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (/.f64 #s(literal 1 binary64) z)) y) |
(/.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #s(literal 1 binary64))) (neg.f64 (*.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z)) |
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) |
(*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y))) |
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/8 binary64)) |
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(*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 18 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 18 binary64)))) |
(*.f64 (*.f64 z (/.f64 #s(literal 18 binary64) x)) y) |
(*.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) x) y) |
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(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 18 binary64) x)) |
(*.f64 (/.f64 z (/.f64 x y)) #s(literal 18 binary64)) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (/.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))) (sqrt.f64 t))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y)))) (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y))))) |
(neg.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y))))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 (/.f64 y x) z)))) |
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))) (sqrt.f64 t)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (neg.f64 (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y))))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 t) z)) (neg.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))) |
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y))) z) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 18 binary64)) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) x)) y) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (neg.f64 (neg.f64 (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 t) z))) (neg.f64 (neg.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64))) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 18 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) x))) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))) (sqrt.f64 t)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))) (sqrt.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x y))))) |
(*.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) z) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) z) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x (*.f64 #s(literal 18 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 18 binary64) x))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 18 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 18 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1 binary64)) (/.f64 x (*.f64 #s(literal 18 binary64) y))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -18 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z)) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 18 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) z))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y z))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 #s(literal 18 binary64) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sqrt.f64 t) (neg.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) z)) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -18 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) x))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 4 372× | *-lowering-*.f32 |
| 4 372× | *-lowering-*.f64 |
| 3 476× | accelerator-lowering-fma.f32 |
| 3 476× | accelerator-lowering-fma.f64 |
| 2 140× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 7496 |
| 1 | 153 | 7412 |
| 2 | 407 | 7356 |
| 3 | 1313 | 7356 |
| 4 | 2447 | 7356 |
| 5 | 4391 | 7356 |
| 6 | 6092 | 7356 |
| 0 | 8105 | 7164 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 1/18 (* (sqrt t) x)) |
(* 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)))) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) 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 (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) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y)) |
Compiled 61 533 to 3 060 computations (95% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 268 | 1 | 1 269 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1 268 | 3 | 1 271 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ✓ | 98.1% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ✓ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
Compiled 141 to 75 computations (46.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| 4 628× | accelerator-lowering-fma.f32 |
| 4 628× | accelerator-lowering-fma.f64 |
| 3 060× | *-lowering-*.f32 |
| 3 060× | *-lowering-*.f64 |
| 1 268× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 30064771215 |
| 1 | 60 | 30064771215 |
| 2 | 118 | 30064771215 |
| 3 | 241 | 30064771215 |
| 4 | 484 | 30064771215 |
| 5 | 817 | 30064771215 |
| 6 | 1256 | 30064771215 |
| 7 | 2071 | 30064771215 |
| 8 | 3728 | 30064771215 |
| 9 | 5292 | 30064771215 |
| 10 | 6754 | 30064771215 |
| 11 | 7792 | 30064771215 |
| 12 | 7932 | 30064771215 |
| 0 | 8014 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) |
(* (pow (PI) 2/3) (pow (PI) 7/3)) |
(pow (PI) 2/3) |
(PI) |
2/3 |
(pow (PI) 7/3) |
7/3 |
8 |
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3) |
(asin (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(sqrt t) |
t |
(* z (/ 18 (/ x y))) |
z |
(/ 18 (/ x y)) |
18 |
(/ x y) |
x |
y |
3 |
1/3 |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))) |
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) |
(/ (PI) 2) |
2 |
| Outputs |
|---|
(/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/24 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) #s(literal 3 binary64))) |
(/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) |
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) |
(* (pow (PI) 2/3) (pow (PI) 7/3)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(pow (PI) 2/3) |
(pow.f64 (PI.f64) #s(literal 2/3 binary64)) |
(PI) |
(PI.f64) |
2/3 |
#s(literal 2/3 binary64) |
(pow (PI) 7/3) |
(pow.f64 (PI.f64) #s(literal 7/3 binary64)) |
7/3 |
#s(literal 7/3 binary64) |
8 |
#s(literal 8 binary64) |
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3) |
(pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) #s(literal 3 binary64)) |
(asin (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z) |
(sqrt t) |
(sqrt.f64 t) |
t |
(* z (/ 18 (/ x y))) |
(/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z y)) x) |
z |
(/ 18 (/ x y)) |
(/.f64 #s(literal 18 binary64) (/.f64 x y)) |
18 |
#s(literal 18 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
3 |
#s(literal 3 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))) |
(*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) |
(+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 18 binary64)) z)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.4% | (pow.f64 (PI.f64) #s(literal 7/3 binary64)) |
| ✓ | accuracy | 95.4% | (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
| ✓ | accuracy | 88.1% | (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
| 77.0ms | 256× | 0 | valid |
Compiled 281 to 37 computations (86.8% saved)
ival-pow: 14.0ms (23.6% of total)ival-div: 13.0ms (22% of total)const: 10.0ms (16.9% of total)ival-mult: 9.0ms (15.2% of total)ival-sub: 4.0ms (6.8% of total)ival-add: 2.0ms (3.4% of total)ival-asin: 2.0ms (3.4% of total)ival-sqrt: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)ival-copysign: 1.0ms (1.7% of total)ival-fabs: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))> |
#<alt (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)> |
#<alt (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))> |
#<alt (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8)> |
#<alt (* z (/ 18 (/ x y)))> |
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))> |
#<alt (pow (PI) 7/3)> |
| Outputs |
|---|
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 0.0ms | t | @ | inf | (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 0.0ms | t | @ | -inf | (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 0.0ms | z | @ | 0 | (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 0.0ms | z | @ | inf | (/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
| 1× | batch-egg-rewrite |
| 4 842× | *-lowering-*.f32 |
| 4 842× | *-lowering-*.f64 |
| 4 594× | /-lowering-/.f32 |
| 4 594× | /-lowering-/.f64 |
| 3 930× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 122 |
| 1 | 187 | 80 |
| 2 | 1476 | 79 |
| 0 | 8544 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))) |
(* (- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) |
(- (/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) |
(/ (* (pow (PI) 2/3) (pow (PI) 7/3)) 8) |
(* z (/ 18 (/ x y))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(pow (PI) 7/3) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 6 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal -1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 9 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 6 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 7/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 7/6 binary64)) #s(literal 2 binary64))) |
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 14/3 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 2 binary64)) |
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(*.f64 (pow.f64 (PI.f64) #s(literal 7/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 7/6 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/9 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/18 binary64)) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 4 668× | *-lowering-*.f32 |
| 4 668× | *-lowering-*.f64 |
| 3 194× | accelerator-lowering-fma.f32 |
| 3 194× | accelerator-lowering-fma.f64 |
| 1 680× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 5392 |
| 1 | 124 | 5332 |
| 2 | 356 | 5292 |
| 3 | 1121 | 5292 |
| 4 | 2829 | 5292 |
| 5 | 4547 | 5292 |
| 6 | 5927 | 5292 |
| 0 | 8148 | 5100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) 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 (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) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
| Outputs |
|---|
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
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(/.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)) |
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(/.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)) |
Compiled 57 831 to 2 569 computations (95.6% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 931 | 0 | 931 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 931 | 3 | 934 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ✓ | 98.1% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| ✓ | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
Compiled 293 to 131 computations (55.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(*.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
13 calls:
| 4.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | x |
| 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)
Total -0.3b remaining (-31.2%)
Threshold costs -0.3b (-31.2%)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(*.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
13 calls:
| 8.0ms | t |
| 3.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | z |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 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)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 72 |
| 1 | 51 | 72 |
| 2 | 56 | 72 |
| 3 | 58 | 72 |
| 4 | 59 | 72 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))) |
| 5 832× | *-lowering-*.f32 |
| 5 832× | *-lowering-*.f64 |
| 5 018× | *-lowering-*.f32 |
| 5 018× | *-lowering-*.f64 |
| 4 998× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 50 |
| 1 | 59 | 42 |
| 2 | 377 | 36 |
| 3 | 3741 | 36 |
| 0 | 8207 | 36 |
| 0 | 29 | 1496 |
| 1 | 61 | 1484 |
| 2 | 190 | 1476 |
| 3 | 715 | 1476 |
| 4 | 2529 | 1476 |
| 5 | 4417 | 1476 |
| 6 | 6206 | 1476 |
| 0 | 8065 | 1476 |
| 0 | 36 | 168 |
| 1 | 201 | 126 |
| 2 | 1562 | 126 |
| 0 | 8544 | 126 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 156 to 86 computations (44.9% saved)
Compiled 618 to 346 computations (44% saved)
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