
Time bar (total: 30.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 24 to 19 computations (20.8% saved)
ival-mult: 99.0ms (45.3% of total)ival-div: 60.0ms (27.5% of total)ival-acos: 25.0ms (11.4% of total)ival-sqrt: 24.0ms (11% of total)const: 9.0ms (4.1% of total)backward-pass: 1.0ms (0.5% of total)| 2.4s | 16001× | 0 | invalid |
| 1.2s | 8256× | 0 | valid |
ival-mult: 1.2s (49.5% of total)ival-div: 685.0ms (28% of total)ival-sqrt: 256.0ms (10.5% of total)ival-acos: 218.0ms (8.9% of total)const: 65.0ms (2.7% of total)backward-pass: 10.0ms (0.4% of total)| 2× | egg-herbie |
| 2044× | *-lowering-*.f32 |
| 2044× | *-lowering-*.f64 |
| 1430× | associate-*r/ |
| 1388× | fma-define |
| 1316× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 263 |
| 1 | 281 | 227 |
| 2 | 988 | 197 |
| 3 | 3692 | 197 |
| 4 | 4386 | 197 |
| 5 | 5771 | 197 |
| 6 | 7648 | 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 |
|---|---|---|---|---|---|
| 17 | 0 | - | 4 | (-2.926995733630166e-181 4.221731352304889e+60 3.0442486223256793e+75 4.363333032871618e+283) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 15 | 0 | - | 2 | (1.6267938921543781e-251 -9.850142861479107e+69 -8.20432283010082e-25 1.882448275559086e+131) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 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 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 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 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 1 | (8.92278807368921e-280 1.3460181212026333e+43 8.416173028883203e+275 1.4183075168338304e+224) | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | t |
| 95.0ms | 512× | 0 | valid |
Compiled 213 to 56 computations (73.7% saved)
ival-div: 23.0ms (46.1% of total)ival-mult: 16.0ms (32.1% of total)ival-acos: 5.0ms (10% of total)ival-sqrt: 4.0ms (8% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)Compiled 17 to 13 computations (23.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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)))) |
| ▶ | 96.3% | (*.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 | 256 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 256 | (*.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 | 256 | (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 | 384 | (*.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 | 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)))) |
| 2044× | *-lowering-*.f32 |
| 2044× | *-lowering-*.f64 |
| 1186× | associate-*l/ |
| 1120× | associate-*r* |
| 1096× | 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 | 99.6% | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| ✓ | accuracy | 98.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| ✓ | accuracy | 95.1% | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 94.2% | (*.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 | 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 | 95.9% | (/.f64 (*.f64 x (sqrt.f64 t)) z) |
| ✓ | accuracy | 92.4% | (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y) |
| 85.0ms | 256× | 0 | valid |
Compiled 155 to 27 computations (82.6% saved)
ival-mult: 18.0ms (38% of total)...c/correct-round.rkt:119:19: 13.0ms (27.4% of total)ival-div: 9.0ms (19% of total)ival-acos: 5.0ms (10.5% of total)ival-sqrt: 2.0ms (4.2% of total)const: 1.0ms (2.1% of total)backward-pass: 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) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))> |
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))> |
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))> |
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))> |
#<alt (/ (* x (sqrt t)) z)> |
#<alt (* 3 (/ 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))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
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#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))> |
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))> |
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* (sqrt t) (/ x z))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
#<alt (* 1/9 (/ x y))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | t | @ | 0 | (* 1/18 (/ (/ (* x (sqrt t)) z) y)) |
| 3.0ms | z | @ | 0 | (/ (* x (sqrt t)) z) |
| 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 |
| 5482× | *-lowering-*.f32 |
| 5482× | *-lowering-*.f64 |
| 3118× | /-lowering-/.f32 |
| 3118× | /-lowering-/.f64 |
| 1776× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 112 |
| 1 | 91 | 102 |
| 2 | 590 | 94 |
| 3 | 5340 | 94 |
| 0 | 8911 | 94 |
| 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) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) |
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) |
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) |
(/ (* 3 (/ x (* y 27))) (* z 2)) |
(/ (* x (sqrt t)) z) |
(* 3 (/ 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 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y)))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) 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 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 (*.f64 (-.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 0 binary64) (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)) (-.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)) (*.f64 (-.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 0 binary64) (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)) (-.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 z (*.f64 x (sqrt.f64 t)))))) #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 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) 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 z (*.f64 x (sqrt.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 #s(literal -3 binary64) (/.f64 (*.f64 y #s(literal -27 binary64)) x)) |
(/.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 27 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 27 binary64)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -27 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -27 binary64)) |
(/.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) y) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 y #s(literal -27 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 27 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal 27 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal -27 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 27 binary64)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) y) #s(literal -27 binary64)) |
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal 27 binary64))) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 9 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 27 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1/9 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (/.f64 y x))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/27 binary64) y) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal -27 binary64)))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (*.f64 x #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/9 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal -3 binary64)) |
(*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x) |
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
| 1× | egg-herbie |
| 3426× | *-lowering-*.f32 |
| 3426× | *-lowering-*.f64 |
| 1870× | /-lowering-/.f32 |
| 1870× | /-lowering-/.f64 |
| 1482× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 4316 |
| 1 | 79 | 4252 |
| 2 | 275 | 4236 |
| 3 | 1039 | 4236 |
| 4 | 2438 | 4236 |
| 5 | 5020 | 4236 |
| 6 | 7137 | 4236 |
| 0 | 8196 | 4236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(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))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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))))) |
(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))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* 1/18 (/ x (* y z))) |
(* (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))) |
(* (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)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
(* 1/9 (/ x y)) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(* 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)) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* 1/18 (/ x (* y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(* (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) |
(* (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) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
(* 1/9 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y) |
Compiled 21836 to 3747 computations (82.8% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1243 | 1 | 1244 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1245 | 1 | 1246 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
Found 4 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)) |
| 184× | *-lowering-*.f32 |
| 184× | *-lowering-*.f64 |
| 172× | /-lowering-/.f32 |
| 172× | /-lowering-/.f64 |
| 94× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 21 | 57 |
| 2 | 40 | 57 |
| 3 | 88 | 57 |
| 4 | 147 | 57 |
| 5 | 220 | 57 |
| 6 | 253 | 57 |
| 7 | 257 | 57 |
| 0 | 257 | 57 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (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 |
|---|
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64))) #s(literal 1/3 binary64)) |
(acos (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(acos.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64)) |
(sqrt t) |
(sqrt.f64 t) |
t |
(* z (/ 18 (/ x y))) |
(/.f64 (*.f64 z (*.f64 #s(literal 18 binary64) y)) x) |
z |
(/ 18 (/ x y)) |
(/.f64 #s(literal 18 binary64) (/.f64 x y)) |
18 |
#s(literal 18 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
1/3 |
#s(literal 1/3 binary64) |
Found 4 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 | 94.6% | (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
| ✓ | accuracy | 93.5% | (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
| 39.0ms | 256× | 0 | valid |
Compiled 62 to 14 computations (77.4% saved)
ival-div: 6.0ms (29.1% of total)ival-mult: 4.0ms (19.4% of total)...c/correct-round.rkt:119:19: 4.0ms (19.4% of total)ival-acos: 4.0ms (19.4% of total)ival-sqrt: 2.0ms (9.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<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 (* z (/ 18 (/ x y)))> |
#<alt (/ 18 (/ x y))> |
| 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 (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<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 (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 (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (sqrt t)> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 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))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (* z (/ 18 (/ x y))) |
| 1.0ms | y | @ | 0 | (* z (/ 18 (/ x y))) |
| 1.0ms | y | @ | 0 | (/ 18 (/ x y)) |
| 0.0ms | x | @ | 0 | (* z (/ 18 (/ x y))) |
| 0.0ms | x | @ | 0 | (/ 18 (/ x y)) |
| 1× | batch-egg-rewrite |
| 4808× | *-lowering-*.f32 |
| 4808× | *-lowering-*.f64 |
| 3728× | /-lowering-/.f32 |
| 3728× | /-lowering-/.f64 |
| 1834× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 51 | 48 |
| 2 | 299 | 48 |
| 3 | 2478 | 48 |
| 0 | 8820 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3) |
(acos (/ (sqrt t) (* z (/ 18 (/ x y))))) |
(/ (sqrt t) (* z (/ 18 (/ x y)))) |
(sqrt t) |
(* z (/ 18 (/ x y))) |
(/ 18 (/ x y)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #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) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #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 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(/.f64 (neg.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 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))))) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))) |
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 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 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) |
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(pow.f64 (/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
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(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 z y) x)) |
(*.f64 #s(literal 18 binary64) (/.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 18 binary64) (pow.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 y (/.f64 (*.f64 z #s(literal 18 binary64)) x)) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) z) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (neg.f64 (-.f64 #s(literal 0 binary64) z))) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (/.f64 z #s(literal 1 binary64))) |
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(*.f64 (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal 1 binary64)) |
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(*.f64 #s(literal -18 binary64) (/.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(*.f64 (/.f64 y x) (*.f64 z #s(literal 18 binary64))) |
(*.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 z y)) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 18 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64))) |
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(*.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) z)) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(*.f64 (*.f64 z #s(literal -18 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (/.f64 z x) (*.f64 #s(literal 18 binary64) y)) |
(*.f64 (/.f64 z x) (/.f64 (*.f64 #s(literal 18 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)) z) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (*.f64 z y) x) #s(literal 18 binary64)) |
(*.f64 (*.f64 z y) (/.f64 #s(literal 18 binary64) x)) |
(*.f64 (*.f64 #s(literal 18 binary64) y) (/.f64 z x)) |
(*.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) x) y) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (/.f64 z (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 z #s(literal -18 binary64)) x) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 (*.f64 z #s(literal -18 binary64)) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal -18 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 z #s(literal 18 binary64)) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 18 binary64) (/.f64 x 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) y)) |
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 18 binary64) x)) |
(*.f64 (*.f64 (/.f64 (*.f64 z #s(literal -18 binary64)) x) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (/.f64 z (/.f64 x (-.f64 #s(literal 0 binary64) y))) #s(literal -18 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 z #s(literal 18 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 18 binary64) x)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal -1 binary64)) (*.f64 #s(literal 18 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -18 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -18 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -18 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 18 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(neg.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(/.f64 #s(literal 18 binary64) (/.f64 x y)) |
(/.f64 y (/.f64 x #s(literal 18 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 x #s(literal 18 binary64)))) |
(/.f64 #s(literal -18 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(/.f64 (/.f64 y x) #s(literal 1/18 binary64)) |
(/.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/18 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y))) |
(/.f64 (*.f64 #s(literal 18 binary64) y) x) |
(/.f64 (/.f64 #s(literal -18 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)))) |
(/.f64 (*.f64 #s(literal -18 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -18 binary64) y)) x) |
(/.f64 (*.f64 y #s(literal -18 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y #s(literal -18 binary64))) x) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 18 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 18 binary64) x)) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -18 binary64) x)) |
(*.f64 #s(literal -18 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (/.f64 y x) #s(literal 18 binary64)) |
(*.f64 (/.f64 #s(literal 18 binary64) x) y) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -18 binary64) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -18 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 18 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 18 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -18 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -18 binary64) 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 -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -18 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/18 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -18 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -18 binary64) x) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
| 1× | egg-herbie |
| 3298× | *-lowering-*.f32 |
| 3298× | *-lowering-*.f64 |
| 1732× | fnmsub-define |
| 1626× | fma-lowering-fma.f32 |
| 1626× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 2068 |
| 1 | 72 | 2036 |
| 2 | 216 | 2028 |
| 3 | 785 | 2028 |
| 4 | 1967 | 2028 |
| 5 | 4466 | 2028 |
| 6 | 6038 | 2028 |
| 0 | 8630 | 2028 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(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))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
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(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(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))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(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))) |
(* 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 |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(sqrt t) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* -1 (* (sqrt t) (pow (sqrt -1) 2))) |
(sqrt.f64 t) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) |
(* 18 (/ (* y z) x)) |
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y 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) |
(* 18 (/ y x)) |
(/.f64 (*.f64 y #s(literal 18 binary64)) x) |
Compiled 17142 to 2612 computations (84.8% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 772 | 1 | 773 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 772 | 2 | 774 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
| ✓ | 98.5% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
Compiled 122 to 47 computations (61.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 6464 | (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) |
| ✓ | cost-diff | 12544 | (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) |
| ✓ | cost-diff | 40576 | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) |
| ✓ | cost-diff | 40576 | (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
| 2652× | *-lowering-*.f32 |
| 2652× | *-lowering-*.f64 |
| 1872× | sum4-define |
| 1362× | fma-lowering-fma.f32 |
| 1362× | fma-lowering-fma.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 539 |
| 1 | 89 | 511 |
| 2 | 291 | 443 |
| 3 | 940 | 441 |
| 4 | 3331 | 439 |
| 0 | 8233 | 439 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(PI) |
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(sqrt t) |
t |
(/ z (/ (/ x y) 18)) |
z |
(/ (/ x y) 18) |
(/ x y) |
x |
y |
18 |
2 |
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))) |
(/ (PI) 2) |
(* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
8 |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
3 |
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
1/3 |
| Outputs |
|---|
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))))))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(PI) |
(PI.f64) |
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) |
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(sqrt t) |
(sqrt.f64 t) |
t |
(/ z (/ (/ x y) 18)) |
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
z |
(/ (/ x y) 18) |
(/.f64 (/.f64 x y) #s(literal 18 binary64)) |
(/ x y) |
(/.f64 x y) |
x |
y |
18 |
#s(literal 18 binary64) |
2 |
#s(literal 2 binary64) |
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))) |
(+.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
8 |
#s(literal 8 binary64) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 95.2% | (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
| ✓ | accuracy | 93.5% | (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
| ✓ | accuracy | 36.5% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) |
| 465.0ms | 139× | 2 | valid |
| 102.0ms | 112× | 1 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 561 to 35 computations (93.8% saved)
ival-pow: 40.0ms (21% of total)ival-div: 37.0ms (19.4% of total)ival-mult: 32.0ms (16.8% of total)backward-pass: 20.0ms (10.5% of total)ival-acos: 14.0ms (7.4% of total)ival-pi: 12.0ms (6.3% of total)...c/correct-round.rkt:119:19: 11.0ms (5.8% of total)ival-sub: 9.0ms (4.7% of total)ival-add: 7.0ms (3.7% of total)ival-sqrt: 6.0ms (3.2% of total)const: 2.0ms (1.1% of total)| Inputs |
|---|
#<alt (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)> |
#<alt (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))> |
#<alt (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))> |
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))> |
#<alt (/ (sqrt t) (/ z (/ (/ x y) 18)))> |
#<alt (/ z (/ (/ x y) 18))> |
#<alt (* (PI) (* (PI) (PI)))> |
| Outputs |
|---|
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))> |
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#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
#<alt (* 18 (/ (* y z) x))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | t | @ | -inf | (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
| 8.0ms | x | @ | inf | (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
| 6.0ms | t | @ | inf | (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
| 6.0ms | x | @ | -inf | (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
| 5.0ms | t | @ | 0 | (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
| 1× | batch-egg-rewrite |
| 5542× | *-lowering-*.f32 |
| 5542× | *-lowering-*.f64 |
| 2978× | /-lowering-/.f32 |
| 2978× | /-lowering-/.f64 |
| 2102× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 328 |
| 1 | 240 | 304 |
| 2 | 2268 | 298 |
| 0 | 9569 | 298 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(/ z (/ (/ x y) 18)) |
(* (PI) (* (PI) (PI))) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/3 binary64))) |
(*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
(*.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
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(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal -18 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) |
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 z (/.f64 (/.f64 x y) #s(literal -18 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t))))) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z (*.f64 y #s(literal 18 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (*.f64 z #s(literal 18 binary64))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 z #s(literal -18 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) #s(literal 18 binary64)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (*.f64 y #s(literal 18 binary64))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -18 binary64)) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) #s(literal 18 binary64))) z) |
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))) #s(literal 18 binary64)) |
(pow.f64 (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 z (/.f64 x y)) (/.f64 #s(literal 18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 x y) #s(literal -18 binary64))))) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x y))) (pow.f64 (/.f64 #s(literal 18 binary64) (sqrt.f64 t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 x y) #s(literal -18 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 z (/.f64 (/.f64 x y) #s(literal -18 binary64)))) |
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 x y) #s(literal -18 binary64))) |
(/.f64 (/.f64 z (/.f64 x y)) #s(literal 1/18 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))))) |
(/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(pow.f64 (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal -18 binary64)))) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) z) |
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 x y)) #s(literal 18 binary64)) |
(*.f64 (/.f64 z x) (*.f64 y #s(literal 18 binary64))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -18 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal -18 binary64)))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 3632× | *-lowering-*.f32 |
| 3632× | *-lowering-*.f64 |
| 1818× | +-lowering-+.f64 |
| 1818× | +-lowering-+.f32 |
| 1728× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 14972 |
| 1 | 175 | 14492 |
| 2 | 559 | 11196 |
| 3 | 2318 | 10908 |
| 4 | 7964 | 10908 |
| 0 | 8036 | 10908 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 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)) |
| Outputs |
|---|
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (PI.f64))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(* 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)) |
(* 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)) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
(* 18 (/ (* y z) x)) |
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x))) |
Compiled 135729 to 3279 computations (97.6% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1244 | 2 | 1246 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 1245 | 3 | 1248 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
| ▶ | 98.5% | (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
| ✓ | 98.5% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
Compiled 220 to 82 computations (62.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 6464 | (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) |
| ✓ | cost-diff | 12544 | (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) |
| ✓ | cost-diff | 40576 | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) |
| ✓ | cost-diff | 40576 | (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 6208 | (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) |
| ✓ | cost-diff | 6208 | (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 6208 | (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
| 2652× | *-lowering-*.f32 |
| 2652× | *-lowering-*.f64 |
| 2342× | +-lowering-+.f64 |
| 2342× | +-lowering-+.f32 |
| 1540× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 1001 |
| 1 | 123 | 984 |
| 2 | 364 | 916 |
| 3 | 1173 | 910 |
| 4 | 3962 | 908 |
| 0 | 8362 | 908 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(PI) |
(+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(sqrt t) |
t |
(/ z (/ (/ x y) 18)) |
z |
(/ (/ x y) 18) |
(/ x y) |
x |
y |
18 |
(+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)) |
(/ (PI) 2) |
2 |
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(/ (* (PI) (* (PI) (PI))) 8) |
(* (PI) (* (PI) (PI))) |
8 |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
3 |
-2 |
1/6 |
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(PI) |
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))) |
(/ (* (PI) (PI)) 4) |
(* (PI) (PI)) |
4 |
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(sqrt t) |
t |
(/ z (/ (/ x y) 18)) |
z |
(/ (/ x y) 18) |
(/ x y) |
x |
y |
18 |
2 |
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))) |
(/ (PI) 2) |
(* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))) |
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(/ (pow (sqrt (PI)) 6) 8) |
(pow (sqrt (PI)) 6) |
(sqrt (PI)) |
6 |
8 |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
3 |
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
1/3 |
| Outputs |
|---|
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
(/.f64 (*.f64 (+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64)))))) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(/.f64 (+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) |
(+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64)))))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(PI) |
(PI.f64) |
(+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))) |
(sqrt t) |
(sqrt.f64 t) |
t |
(/ z (/ (/ x y) 18)) |
(/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))) |
z |
(/ (/ x y) 18) |
(/.f64 x (*.f64 y #s(literal 18 binary64))) |
(/ x y) |
(/.f64 x y) |
x |
y |
18 |
#s(literal 18 binary64) |
(+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)) |
(+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2) |
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) |
(/ (* (PI) (* (PI) (PI))) 8) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
8 |
#s(literal 8 binary64) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
-2 |
#s(literal -2 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -8 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/6 binary64))) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -1/4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(PI) |
(PI.f64) |
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/ (* (PI) (PI)) 4) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) |
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64)) |
(acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) |
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))) |
(sqrt t) |
(sqrt.f64 t) |
t |
(/ z (/ (/ x y) 18)) |
(/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))) |
z |
(/ (/ x y) 18) |
(/.f64 x (*.f64 y #s(literal 18 binary64))) |
(/ x y) |
(/.f64 x y) |
x |
y |
18 |
#s(literal 18 binary64) |
2 |
#s(literal 2 binary64) |
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))) |
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/ (PI) 2) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))) |
(+.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64))) |
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) |
(/ (pow (sqrt (PI)) 6) 8) |
(/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) |
(pow (sqrt (PI)) 6) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
6 |
#s(literal 6 binary64) |
8 |
#s(literal 8 binary64) |
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3) |
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.5% | (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
| ✓ | accuracy | 95.2% | (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
| ✓ | accuracy | 93.5% | (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
| ✓ | accuracy | 36.5% | (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 95.2% | (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
| ✓ | accuracy | 93.5% | (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))) |
| ✓ | accuracy | 36.5% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) |
| 287.0ms | 139× | 2 | valid |
| 152.0ms | 112× | 1 | valid |
| 3.0ms | 5× | 0 | valid |
Compiled 1044 to 50 computations (95.2% saved)
ival-mult: 60.0ms (22.9% of total)ival-div: 49.0ms (18.7% of total)backward-pass: 34.0ms (13% of total)...c/correct-round.rkt:119:19: 33.0ms (12.6% of total)ival-pow: 29.0ms (11% of total)ival-add: 17.0ms (6.5% of total)ival-acos: 14.0ms (5.3% of total)ival-sqrt: 11.0ms (4.2% of total)ival-sub: 9.0ms (3.4% of total)ival-pi: 4.0ms (1.5% of total)const: 3.0ms (1.1% of total)| Inputs |
|---|
#<alt (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)> |
#<alt (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))> |
#<alt (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2))> |
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))> |
#<alt (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)> |
#<alt (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))> |
#<alt (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))> |
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))> |
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))> |
#<alt (/ (sqrt t) (/ z (/ (/ x y) 18)))> |
#<alt (/ z (/ (/ x y) 18))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))> |
#<alt (pow (sqrt (PI)) 6)> |
| Outputs |
|---|
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))> |
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
| 3.0ms | x | @ | inf | (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
| 3.0ms | t | @ | -inf | (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
| 3.0ms | y | @ | 0 | (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
| 3.0ms | t | @ | 0 | (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
| 1× | batch-egg-rewrite |
| 3160× | *-lowering-*.f32 |
| 3160× | *-lowering-*.f64 |
| 2494× | fma-lowering-fma.f32 |
| 2494× | fma-lowering-fma.f64 |
| 2108× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 609 |
| 1 | 349 | 577 |
| 2 | 2944 | 577 |
| 0 | 8617 | 577 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6) |
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) |
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3) |
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) |
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) |
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) |
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(/ (sqrt t) (/ z (/ (/ x y) 18))) |
(/ z (/ (/ x y) 18)) |
(* (PI) (* (PI) (PI))) |
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) |
(pow (sqrt (PI)) 6) |
| Outputs |
|---|
(/.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) (neg.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))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))))) |
(pow.f64 (/.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))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64)))) #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))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))) |
(exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 6 binary64))) |
| 1× | egg-herbie |
| 3664× | *-lowering-*.f32 |
| 3664× | *-lowering-*.f64 |
| 1842× | +-lowering-+.f64 |
| 1842× | +-lowering-+.f32 |
| 1140× | fnmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 28540 |
| 1 | 230 | 27580 |
| 2 | 666 | 21564 |
| 3 | 2560 | 21132 |
| 4 | 7472 | 21132 |
| 0 | 8096 | 21132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
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(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
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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)))) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(* 18 (/ (* y z) x)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
| Outputs |
|---|
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
(*.f64 #s(literal 1/6 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) |
Compiled 251759 to 5236 computations (97.9% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2468 | 1 | 2469 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 1 | 1 |
| Total | 2469 | 3 | 2472 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) | |
| ✓ | 98.5% | (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
| ✓ | 98.5% | (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) |
Compiled 653 to 161 computations (75.3% 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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) |
13 calls:
| 6.0ms | x |
| 4.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (*.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)))) |
| 3.0ms | (sqrt.f64 t) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 100.0% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 100.0% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 100.0% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 100.0% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 100.0% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 100.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 100.0% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
| Inputs |
|---|
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 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:
| 2.0ms | (*.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)))) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
| 98.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.5% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.5% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.5% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.5% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.5% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.5% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.5% | 1 | (sqrt.f64 t) |
Compiled 135 to 108 computations (20% saved)
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 | (sqrt.f64 t) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | x |
| 96.3% | 1 | y |
| 96.3% | 1 | z |
| 96.3% | 1 | t |
| 96.3% | 1 | (sqrt.f64 t) |
Compiled 26 to 21 computations (19.2% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 120 |
| 1 | 62 | 120 |
| 2 | 67 | 120 |
| 3 | 69 | 120 |
| 4 | 70 | 120 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 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 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 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)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)))) |
| 5542× | *-lowering-*.f32 |
| 5542× | *-lowering-*.f64 |
| 5482× | *-lowering-*.f32 |
| 5482× | *-lowering-*.f64 |
| 4808× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 328 |
| 1 | 240 | 304 |
| 2 | 2268 | 298 |
| 0 | 9569 | 298 |
| 0 | 26 | 112 |
| 1 | 91 | 102 |
| 2 | 590 | 94 |
| 3 | 5340 | 94 |
| 0 | 8911 | 94 |
| 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 | 13 | 48 |
| 1 | 51 | 48 |
| 2 | 299 | 48 |
| 3 | 2478 | 48 |
| 0 | 8820 | 48 |
| 0 | 49 | 609 |
| 1 | 349 | 577 |
| 2 | 2944 | 577 |
| 0 | 8617 | 577 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 234 to 95 computations (59.4% saved)
(sort y z)
Compiled 728 to 304 computations (58.2% saved)
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