
Time bar (total: 12.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 2.0s | 15 598× | 0 | invalid |
| 1.4s | 8 256× | 0 | valid |
ival-div: 1.0s (41.8% of total)ival-mult: 931.0ms (38.6% of total)ival-sqrt: 205.0ms (8.5% of total)ival-acos: 197.0ms (8.2% of total)exact: 41.0ms (1.7% of total)ival-true: 19.0ms (0.8% of total)ival-assert: 9.0ms (0.4% 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 |
|---|---|---|---|---|---|
| 25 | 0 | - | 3 | (8.867569518712058e-237 -1.553983308627187e+83 1.407587180579822e-177 2.2919485750517967e-108) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 16 | 0 | - | 3 | (-5.898182129039209e-271 2.6803025348734816e-110 1.2806075920190008e+155 4003314446804525000.0) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 1 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 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 | - | #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 | 20 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 60 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 60 | |
*.f64 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | n*u | 13 | 0 |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | n/o | 1 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 | |
/.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 | |
/.f64 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | n/o | 1 | 0 |
| ↳ | (*.f64 y #s(literal 27 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 34 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 34 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 230 to 76 computations (67% saved)
ival-mult: 15.0ms (37.4% of total)ival-div: 12.0ms (29.9% of total)ival-acos: 8.0ms (19.9% of total)ival-sqrt: 4.0ms (10% of total)exact: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 17 to 13 computations (23.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.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)))) |
| ▶ | 97.7% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
Compiled 40 to 31 computations (22.5% saved)
| 1× | egg-herbie |
Found 8 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)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)) |
| ✓ | cost-diff | 0 | (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| 2 044× | *-lowering-*.f32 |
| 2 044× | *-lowering-*.f64 |
| 1 186× | associate-*l/ |
| 1 120× | associate-*r* |
| 1 096× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 134 |
| 1 | 55 | 130 |
| 2 | 156 | 128 |
| 3 | 482 | 128 |
| 4 | 1540 | 128 |
| 5 | 3040 | 128 |
| 6 | 3079 | 128 |
| 7 | 3098 | 128 |
| 8 | 3098 | 128 |
| 9 | 3098 | 128 |
| 10 | 3658 | 128 |
| 11 | 3674 | 128 |
| 12 | 3674 | 128 |
| 0 | 3674 | 128 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))) |
1/3 |
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))) |
(* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
1/18 |
(/ (/ (* x (sqrt t)) z) y) |
(/ (* x (sqrt t)) z) |
(* x (sqrt t)) |
x |
(sqrt t) |
t |
z |
y |
(* (/ 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 (* 1/18 (/ (/ (* x (sqrt t)) z) y)))) |
(*.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) |
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))) |
(* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)) |
1/18 |
#s(literal 1/18 binary64) |
(/ (/ (* x (sqrt t)) z) y) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y) |
(/ (* x (sqrt t)) z) |
(/.f64 (*.f64 x (sqrt.f64 t)) z) |
(* x (sqrt t)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt t) |
(sqrt.f64 t) |
t |
z |
y |
(* (/ 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 #s(literal 1/18 binary64) (/.f64 x 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 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (/.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 | 95.3% | (*.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 | 91.5% | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)) |
| ✓ | accuracy | 98.5% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| ✓ | accuracy | 95.0% | (/.f64 (*.f64 x (sqrt.f64 t)) z) |
| ✓ | accuracy | 92.7% | (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y) |
| 263.0ms | 256× | 0 | valid |
Compiled 152 to 28 computations (81.6% saved)
ival-mult: 16.0ms (43.4% of total)ival-div: 8.0ms (21.7% of total)const: 6.0ms (16.3% of total)ival-acos: 4.0ms (10.9% of total)ival-sqrt: 2.0ms (5.4% 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 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))> |
#<alt (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))> |
#<alt (* 1/18 (/ (/ (* x (sqrt t)) z) y))> |
#<alt (/ (/ (* x (sqrt t)) z) y)> |
#<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 (/ (* x (sqrt t)) z)> |
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))> |
#<alt (/ x (* y 27))> |
| 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))))))> |
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#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
#<alt (* 1/27 (/ x y))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | 0 | (* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
| 4.0ms | y | @ | 0 | (* 3 (/ x (* y 27))) |
| 3.0ms | t | @ | -inf | (* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
| 2.0ms | x | @ | 0 | (* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
| 1.0ms | z | @ | 0 | (* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
| 1× | batch-egg-rewrite |
| 5 440× | *-lowering-*.f32 |
| 5 440× | *-lowering-*.f64 |
| 3 118× | /-lowering-/.f32 |
| 3 118× | /-lowering-/.f64 |
| 1 956× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 103 |
| 1 | 91 | 95 |
| 2 | 578 | 89 |
| 3 | 5260 | 89 |
| 0 | 8071 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))) |
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))) |
(* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
(/ (/ (* x (sqrt t)) z) y) |
(/ 1 3) |
(/ (* 3 (/ x (* y 27))) (* z 2)) |
(* 3 (/ x (* y 27))) |
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(/ (* x (sqrt t)) z) |
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
(/ x (* y 27)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) |
(*.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y)))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64)))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y)))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) |
(-.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 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64))) |
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) |
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))))) |
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z (sqrt.f64 t)) x)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal -1/18 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))))) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) x) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal 1 binary64)) (*.f64 z y)) |
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(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
| 1× | egg-herbie |
| 3 468× | *-lowering-*.f32 |
| 3 468× | *-lowering-*.f64 |
| 3 064× | accelerator-lowering-fma.f32 |
| 3 064× | accelerator-lowering-fma.f64 |
| 2 180× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 3888 |
| 1 | 84 | 3840 |
| 2 | 282 | 3828 |
| 3 | 1050 | 3828 |
| 4 | 2472 | 3828 |
| 5 | 4847 | 3828 |
| 6 | 6229 | 3828 |
| 7 | 7267 | 3828 |
| 8 | 7880 | 3828 |
| 0 | 8066 | 3828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/9 (/ x y)) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
(* 1/27 (/ x y)) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) 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 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z))) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* (sqrt t) (/ x z)) |
(*.f64 (sqrt.f64 t) (/.f64 x z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(* 1/27 (/ x y)) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
Compiled 21 823 to 4 057 computations (81.4% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 251 | 2 | 1 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1 252 | 3 | 1 255 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
| ▶ | 97.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))) |
| ✓ | 97.7% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
Compiled 77 to 51 computations (33.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 t) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
| ✓ | cost-diff | 0 | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))) |
| 5 160× | accelerator-lowering-fma.f32 |
| 5 160× | accelerator-lowering-fma.f64 |
| 3 100× | *-lowering-*.f32 |
| 3 100× | *-lowering-*.f64 |
| 1 178× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 275 |
| 1 | 59 | 275 |
| 2 | 122 | 273 |
| 3 | 321 | 273 |
| 4 | 720 | 273 |
| 5 | 1298 | 273 |
| 6 | 1792 | 273 |
| 7 | 2328 | 273 |
| 8 | 3484 | 273 |
| 9 | 4508 | 273 |
| 10 | 5097 | 273 |
| 11 | 5353 | 273 |
| 12 | 5599 | 273 |
| 13 | 5758 | 273 |
| 14 | 6236 | 273 |
| 15 | 6366 | 273 |
| 16 | 6366 | 273 |
| 17 | 6366 | 273 |
| 18 | 6366 | 273 |
| 19 | 6366 | 273 |
| 20 | 6509 | 273 |
| 21 | 7069 | 273 |
| 22 | 7512 | 273 |
| 23 | 7588 | 273 |
| 24 | 7596 | 273 |
| 25 | 7596 | 273 |
| 26 | 7684 | 273 |
| 0 | 8120 | 268 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))) |
1/3 |
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
1 |
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))) |
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) |
(/ (PI) 2) |
(PI) |
2 |
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) |
(/ 1/18 (/ y (/ x (/ z (sqrt t))))) |
1/18 |
(/ y (/ x (/ z (sqrt t)))) |
y |
(/ x (/ z (sqrt t))) |
x |
(/ z (sqrt t)) |
z |
(sqrt t) |
t |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2) |
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3) |
(acos (/ (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 |
1/3 |
| Outputs |
|---|
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))) |
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -4 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))))) |
1/3 |
#s(literal 1/3 binary64) |
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))))) |
1 |
#s(literal 1 binary64) |
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))) |
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64)))) |
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) |
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) |
(/ 1/18 (/ y (/ x (/ z (sqrt t))))) |
(/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))) |
1/18 |
#s(literal 1/18 binary64) |
(/ y (/ x (/ z (sqrt t)))) |
(/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)) |
y |
(/ x (/ z (sqrt t))) |
(/.f64 x (/.f64 z (sqrt.f64 t))) |
x |
(/ z (sqrt t)) |
(/.f64 z (sqrt.f64 t)) |
z |
(sqrt t) |
(sqrt.f64 t) |
t |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #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) |
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2) |
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64)) |
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z))) |
(acos (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(acos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z)) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z) |
(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 |
1/3 |
#s(literal 1/3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 18 binary64) (/.f64 x y)) |
| ✓ | accuracy | 98.5% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 94.7% | (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
| ✓ | accuracy | 91.7% | (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
| ✓ | accuracy | 98.5% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))) |
| ✓ | accuracy | 98.3% | (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))) |
| ✓ | accuracy | 96.5% | (/.f64 x (/.f64 z (sqrt.f64 t))) |
| ✓ | accuracy | 93.5% | (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))) |
| 96.0ms | 256× | 0 | valid |
Compiled 279 to 34 computations (87.8% saved)
ival-mult: 34.0ms (48.3% of total)ival-div: 17.0ms (24.2% of total)const: 7.0ms (9.9% of total)ival-acos: 2.0ms (2.8% of total)ival-asin: 2.0ms (2.8% of total)ival-sqrt: 2.0ms (2.8% of total)ival-pow2: 2.0ms (2.8% of total)ival-pi: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% of total)ival-sub: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))> |
#<alt (* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))))> |
#<alt (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))> |
#<alt (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))> |
#<alt (* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)> |
#<alt (acos (/ (sqrt t) (* z (/ 18 (/ x y)))))> |
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))> |
#<alt (sqrt t)> |
#<alt (/ y (/ x (/ z (sqrt t))))> |
#<alt (/ x (/ z (sqrt t)))> |
#<alt (/ 1/18 (/ y (/ x (/ z (sqrt t)))))> |
#<alt (* z (/ 18 (/ x y)))> |
#<alt (/ 18 (/ x y))> |
| Outputs |
|---|
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
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#<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 x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
#<alt (* 18 (/ y x))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))) |
| 3.0ms | t | @ | -inf | (/ y (/ x (/ z (sqrt t)))) |
| 2.0ms | x | @ | 0 | (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
| 2.0ms | y | @ | 0 | (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
| 1.0ms | t | @ | -inf | (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
| 1× | batch-egg-rewrite |
| 5 300× | /-lowering-/.f32 |
| 5 300× | /-lowering-/.f64 |
| 4 658× | accelerator-lowering-fma.f32 |
| 4 658× | accelerator-lowering-fma.f64 |
| 4 528× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 196 |
| 1 | 187 | 124 |
| 2 | 1360 | 124 |
| 0 | 8463 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))) |
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))) |
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))) |
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) |
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3) |
(acos (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(sqrt t) |
(/ y (/ x (/ z (sqrt t)))) |
(/ x (/ z (sqrt t))) |
(/ 1/18 (/ y (/ x (/ z (sqrt t))))) |
(* z (/ 18 (/ x y))) |
(/ 18 (/ x y)) |
| Outputs |
|---|
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) |
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal -1 binary64))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 y x) (/.f64 (sqrt.f64 t) z))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 6 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))))) |
(-.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 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(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 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(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 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(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 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) |
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(*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) z) |
(*.f64 (/.f64 y x) (/.f64 z #s(literal 1/18 binary64))) |
(*.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 z x) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)) |
(*.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) |
(*.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (*.f64 #s(literal -18 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -18 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.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 z #s(literal -1 binary64)) (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (/.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 18 binary64) x))) |
(/.f64 #s(literal 18 binary64) (/.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(/.f64 #s(literal -18 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 18 binary64) y) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 18 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 18 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(pow.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 y (/.f64 #s(literal 18 binary64) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 y x)) |
(*.f64 #s(literal -18 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 y x) #s(literal 18 binary64)) |
(*.f64 (/.f64 #s(literal 18 binary64) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 18 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
| 1× | egg-herbie |
| 4 312× | *-lowering-*.f32 |
| 4 312× | *-lowering-*.f64 |
| 3 906× | accelerator-lowering-fma.f32 |
| 3 906× | accelerator-lowering-fma.f64 |
| 2 528× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 9240 |
| 1 | 137 | 9096 |
| 2 | 363 | 9060 |
| 3 | 1151 | 9060 |
| 4 | 2787 | 9060 |
| 5 | 5930 | 9060 |
| 6 | 7802 | 9060 |
| 0 | 8223 | 8820 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
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(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(sqrt t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* (sqrt t) (/ x z)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (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)))) |
(* 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)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
(* 18 (/ y x)) |
| Outputs |
|---|
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.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)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
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(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt (/ 1 t)) (/ (* y z) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y z) x)) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* (sqrt t) (/ x z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))) |
(/.f64 (*.f64 (sqrt.f64 t) x) z) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ (* y z) x)) |
(*.f64 (/.f64 (*.f64 y z) x) #s(literal 18 binary64)) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
Compiled 61 157 to 4 632 computations (92.4% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 559 | 2 | 1 561 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 1 | 1 |
| Total | 1 560 | 4 | 1 564 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
| ▶ | 99.2% | (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
| ✓ | 98.1% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
| ✓ | 97.7% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
Compiled 96 to 66 computations (31.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
| ✓ | cost-diff | 0 | (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
| 2 728× | accelerator-lowering-fma.f32 |
| 2 728× | accelerator-lowering-fma.f64 |
| 2 192× | *-lowering-*.f32 |
| 2 192× | *-lowering-*.f64 |
| 924× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 244 |
| 1 | 51 | 244 |
| 2 | 104 | 244 |
| 3 | 281 | 244 |
| 4 | 698 | 244 |
| 5 | 1197 | 244 |
| 6 | 1659 | 244 |
| 7 | 2299 | 244 |
| 8 | 3596 | 244 |
| 9 | 4534 | 244 |
| 10 | 4890 | 244 |
| 11 | 5057 | 244 |
| 12 | 5273 | 244 |
| 13 | 5273 | 244 |
| 14 | 5391 | 244 |
| 15 | 5423 | 244 |
| 16 | 5423 | 244 |
| 17 | 5423 | 244 |
| 18 | 5454 | 244 |
| 19 | 5474 | 244 |
| 20 | 5474 | 244 |
| 21 | 5490 | 244 |
| 0 | 5490 | 239 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2))) |
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
1/3 |
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
1 |
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
(/ (PI) 2) |
(PI) |
2 |
(asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) |
(/ (/ 1/18 y) (/ z (* x (sqrt t)))) |
(/ 1/18 y) |
1/18 |
y |
(/ z (* x (sqrt t))) |
z |
(* x (sqrt t)) |
x |
(sqrt t) |
t |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2) |
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
1/3 |
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
1 |
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))) |
(/ (/ 1/18 y) (/ z (* x (sqrt t)))) |
(/ 1/18 y) |
1/18 |
y |
(/ z (* x (sqrt t))) |
z |
(* x (sqrt t)) |
x |
(sqrt t) |
t |
| Outputs |
|---|
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
1/3 |
#s(literal 1/3 binary64) |
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
1 |
#s(literal 1 binary64) |
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI) |
(PI.f64) |
2 |
#s(literal 2 binary64) |
(asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) |
(asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(/ (/ 1/18 y) (/ z (* x (sqrt t)))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
1/18 |
#s(literal 1/18 binary64) |
y |
(/ z (* x (sqrt t))) |
(/.f64 z (*.f64 x (sqrt.f64 t))) |
z |
(* x (sqrt t)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt t) |
(sqrt.f64 t) |
t |
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)) |
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) |
(/ (* (PI) (PI)) 4) |
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2) |
(pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) |
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
1/3 |
#s(literal 1/3 binary64) |
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
1 |
#s(literal 1 binary64) |
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))) |
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(/ (/ 1/18 y) (/ z (* x (sqrt t)))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
1/18 |
#s(literal 1/18 binary64) |
y |
(/ z (* x (sqrt t))) |
(/.f64 z (*.f64 x (sqrt.f64 t))) |
z |
(* x (sqrt t)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt t) |
(sqrt.f64 t) |
t |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/18 binary64) y) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
| ✓ | accuracy | 95.0% | (/.f64 z (*.f64 x (sqrt.f64 t))) |
| ✓ | accuracy | 92.4% | (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
| ✓ | accuracy | 99.6% | (*.f64 x (sqrt.f64 t)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/18 binary64) y) |
| ✓ | accuracy | 95.0% | (/.f64 z (*.f64 x (sqrt.f64 t))) |
| ✓ | accuracy | 92.4% | (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
| 59.0ms | 256× | 0 | valid |
Compiled 252 to 30 computations (88.1% saved)
ival-div: 13.0ms (33.9% of total)ival-mult: 7.0ms (18.3% of total)const: 6.0ms (15.7% of total)ival-acos: 2.0ms (5.2% of total)ival-asin: 2.0ms (5.2% of total)ival-sqrt: 2.0ms (5.2% of total)ival-pow2: 2.0ms (5.2% of total)ival-pi: 1.0ms (2.6% of total)ival-add: 1.0ms (2.6% of total)ival-sub: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))))> |
#<alt (* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)))> |
#<alt (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))> |
#<alt (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))> |
#<alt (/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))> |
#<alt (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))> |
#<alt (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))> |
#<alt (/ (/ 1/18 y) (/ z (* x (sqrt t))))> |
#<alt (/ z (* x (sqrt t)))> |
#<alt (/ 1/18 y)> |
#<alt (* x (sqrt t))> |
| Outputs |
|---|
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))> |
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))> |
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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 (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 (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 (* 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))))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (* (sqrt (/ 1 t)) (/ z x))> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (/ 1/18 y)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* (sqrt t) x)> |
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
| 2.0ms | x | @ | 0 | (/ z (* x (sqrt t))) |
| 1.0ms | t | @ | -inf | (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
| 1.0ms | t | @ | -inf | (/ z (* x (sqrt t))) |
| 1.0ms | y | @ | 0 | (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
| 1× | batch-egg-rewrite |
| 7 780× | accelerator-lowering-fma.f32 |
| 7 780× | accelerator-lowering-fma.f64 |
| 4 434× | *-lowering-*.f32 |
| 4 434× | *-lowering-*.f64 |
| 3 650× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 170 |
| 1 | 159 | 170 |
| 2 | 1117 | 122 |
| 0 | 8510 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) |
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2))) |
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))) |
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))) |
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))) |
(/ (/ 1/18 y) (/ z (* x (sqrt t)))) |
(/ z (* x (sqrt t))) |
(/ 1/18 y) |
(* x (sqrt t)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
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(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
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(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
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(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (/.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64))))) |
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(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
(/.f64 (*.f64 x (sqrt.f64 t)) (/.f64 z (/.f64 #s(literal 1/18 binary64) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal -1/18 binary64) y))) |
(/.f64 #s(literal -1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))) |
(/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t)))) |
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) |
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) z)) (/.f64 y #s(literal -1/18 binary64))) |
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) z) |
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) y) |
(/.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) z)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) y) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x))) |
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x))))) |
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 18 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 x (sqrt.f64 t))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x) (sqrt.f64 t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (sqrt.f64 t)) x) |
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1/18 binary64) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 (pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))) |
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z x)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1/18 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 x z) #s(literal 18 binary64))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 18 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal 18 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 18 binary64))) |
(*.f64 (/.f64 (/.f64 x z) y) (/.f64 (sqrt.f64 t) #s(literal 18 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 t) (/.f64 z x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t)))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) |
(/.f64 z (*.f64 x (sqrt.f64 t))) |
(/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) |
(/.f64 (/.f64 z x) (sqrt.f64 t)) |
(/.f64 (/.f64 z x) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(/.f64 (/.f64 z (sqrt.f64 t)) x) |
(/.f64 (neg.f64 (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) |
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t)))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) z) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 z x) (pow.f64 t #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) |
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (sqrt.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 t)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (/.f64 z x))) |
(*.f64 (/.f64 z (pow.f64 t #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 t #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1/18 binary64) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/18 binary64))) |
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(/.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -1/18 binary64))) |
(/.f64 #s(literal -1/18 binary64) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 #s(literal -1/18 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/18 binary64) y)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64)) |
(*.f64 (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)) |
(/.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 t))) |
(*.f64 x (sqrt.f64 t)) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 (sqrt.f64 t) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 t)) |
| 1× | egg-herbie |
| 4 210× | *-lowering-*.f32 |
| 4 210× | *-lowering-*.f64 |
| 3 762× | accelerator-lowering-fma.f32 |
| 3 762× | accelerator-lowering-fma.f64 |
| 2 344× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 6964 |
| 1 | 118 | 6836 |
| 2 | 320 | 6804 |
| 3 | 1086 | 6804 |
| 4 | 2408 | 6804 |
| 5 | 5226 | 6804 |
| 6 | 7229 | 6804 |
| 0 | 8080 | 6564 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
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(* 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (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)))) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(/ 1/18 y) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* (sqrt t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(* (sqrt (/ 1 t)) (/ z x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(/ 1/18 y) |
(/.f64 #s(literal 1/18 binary64) y) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* (sqrt t) x) |
(*.f64 (sqrt.f64 t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 t) x) |
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 t) x) |
Compiled 68 042 to 3 858 computations (94.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 682 | 0 | 1 682 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 1 682 | 4 | 1 686 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.7% | (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
| ✓ | 99.2% | (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
| ✓ | 98.1% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
| ✓ | 97.7% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
Compiled 238 to 128 computations (46.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
13 calls:
| 24.0ms | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 3.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.2% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.2% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.2% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.2% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.2% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
13 calls:
| 44.0ms | y |
| 18.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
| 98.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.1% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
5 calls:
| 1.0ms | x |
| 1.0ms | t |
| 1.0ms | (sqrt.f64 t) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
| 97.7% | 1 | (sqrt.f64 t) |
Compiled 26 to 21 computations (19.2% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 65 |
| 1 | 50 | 65 |
| 2 | 54 | 65 |
| 3 | 56 | 65 |
| 4 | 57 | 65 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 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 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))) |
| 5 440× | *-lowering-*.f32 |
| 5 440× | *-lowering-*.f64 |
| 5 300× | /-lowering-/.f32 |
| 5 300× | /-lowering-/.f64 |
| 4 658× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 103 |
| 1 | 91 | 95 |
| 2 | 578 | 89 |
| 3 | 5260 | 89 |
| 0 | 8071 | 89 |
| 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 |
| 0 | 32 | 196 |
| 1 | 187 | 124 |
| 2 | 1360 | 124 |
| 0 | 8463 | 123 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 89 to 57 computations (36% saved)
(sort y z)
Compiled 484 to 292 computations (39.7% saved)
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