
Time bar (total: 5.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 1.6s | 15 819× | 0 | invalid |
| 1.1s | 8 256× | 0 | valid |
ival-mult!: 835.0ms (51.7% of total)ival-div!: 289.0ms (17.9% of total)ival-acos: 259.0ms (16% of total)ival-sqrt: 228.0ms (14.1% of total)adjust: 5.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 263 |
| 1 | 365 | 227 |
| 2 | 1619 | 227 |
| 3 | 7658 | 227 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (*.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)))) |
(sort y z)
Compiled 38 to 36 computations (5.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
x |
(*.f64 y #s(literal 27 binary64)) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y)))) |
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y 27) #s(hole binary64 (* 27 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z 2) #s(hole binary64 (* 2 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (/ 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) |
| 4.0ms | t | @ | 0 | ((* (/ 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) |
| 4.0ms | y | @ | 0 | ((* (/ 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) |
| 4.0ms | x | @ | inf | ((* (/ 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) |
| 3.0ms | x | @ | 0 | ((* (/ 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 353 |
| 0 | 90 | 340 |
| 0 | 186 | 340 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
x |
(*.f64 y #s(literal 27 binary64)) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y)))) |
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y 27) #s(hole binary64 (* 27 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z 2) #s(hole binary64 (* 2 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z z))) |
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 27 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
x |
(*.f64 #s(literal 27 binary64) y) |
(*.f64 y #s(literal 27 binary64)) |
y |
#s(literal 27 binary64) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(+.f64 z z) |
z |
#s(literal 2 binary64) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
t |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) |
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y))) |
#s(approx x x) |
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y)) |
#s(approx y y) |
#s(approx (* z 2) (+.f64 z z)) |
#s(approx z z) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)))) |
Compiled 392 to 217 computations (44.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 3 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 3 | 41 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))) |
| ▶ | 97.6% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
| ▶ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
Compiled 65 to 65 computations (0% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
#s(literal 3 binary64) |
(+.f64 z z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y)))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ z z) #s(hole binary64 (* 2 z))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) (/ 1 3) 1 (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (/ (PI) 2) (PI) 2 (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) |
| 3.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) (/ 1 3) 1 (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (/ (PI) 2) (PI) 2 (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) |
| 3.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) (/ 1 3) 1 (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (/ (PI) 2) (PI) 2 (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) |
| 3.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) (/ 1 3) 1 (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (/ (PI) 2) (PI) 2 (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) |
| 3.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) (/ 1 3) 1 (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (/ (PI) 2) (PI) 2 (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 733 |
| 0 | 153 | 684 |
| 0 | 358 | 684 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
#s(literal 3 binary64) |
(+.f64 z z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y)))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ z z) #s(hole binary64 (* 2 z))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
t |
(/.f64 (/.f64 x z) y) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (+.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z z))) |
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 x #s(literal 27 binary64)) y) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 27 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
(*.f64 y #s(literal 27 binary64)) |
#s(literal 27 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z)))) |
(+.f64 z z) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y))) |
#s(approx x x) |
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (* (/ x (* 27 y)) 3) (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) |
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx y y) |
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y)) |
#s(approx z z) |
#s(approx (+ z z) (+.f64 z z)) |
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64))) |
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) #s(literal 1/3 binary64))) |
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) |
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
Compiled 1 113 to 509 computations (54.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 3 | 106 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 0 | 0 |
| Total | 105 | 4 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64)) |
| ▶ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
| ▶ | 97.8% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
Compiled 132 to 112 computations (15.2% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
(/.f64 #s(literal 3 binary64) (+.f64 z z)) |
#s(literal 3 binary64) |
(+.f64 z z) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 3 (+ z z)) #s(hole binary64 (/ 3/2 z))) |
#s(approx (+ z z) #s(hole binary64 (* 2 z))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) |
| 24.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) |
| 12.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) |
| 6.0ms | x | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) |
| 5.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1653 |
| 0 | 213 | 1419 |
| 0 | 562 | 1413 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(/.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
(/.f64 #s(literal 3 binary64) (+.f64 z z)) |
#s(literal 3 binary64) |
(+.f64 z z) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 3 (+ z z)) #s(hole binary64 (/ 3/2 z))) |
#s(approx (+ z z) #s(hole binary64 (* 2 z))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
t |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 x (*.f64 z y)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
x |
z |
y |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))))) |
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fabs.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (fabs.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))) |
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal 3 binary64) (+.f64 z z)) (sqrt.f64 t))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 z z)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z z))) |
(/.f64 (*.f64 x (/.f64 #s(literal 3 binary64) (+.f64 z z))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) |
(/.f64 (/.f64 x #s(literal 27 binary64)) y) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 27 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
(*.f64 y #s(literal 27 binary64)) |
#s(literal 27 binary64) |
(/.f64 #s(literal -3 binary64) (neg.f64 (+.f64 z z))) |
(/.f64 #s(literal 3 binary64) (+.f64 z z)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z)))) |
(+.f64 z z) |
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) |
(+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
#s(approx (/ (/ x z) y) (/.f64 x (*.f64 z y))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) |
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ x (* 27 y)) (*.f64 (/.f64 x y) #s(literal 1/27 binary64))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
#s(approx y y) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y)) |
#s(approx z z) |
#s(approx (/ 3 (+ z z)) (/.f64 #s(literal 3/2 binary64) z)) |
#s(approx (+ z z) (+.f64 z z)) |
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64))) |
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)))) |
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) #s(literal 1/3 binary64))) |
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) |
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))) |
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64)))) |
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) |
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) |
Compiled 2 733 to 814 computations (70.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 1 | 132 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 132 | 4 | 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
| ✓ | 97.8% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
Compiled 158 to 130 computations (17.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
#s(literal 2 binary64) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3) |
| 5.0ms | t | @ | -inf | ((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3) |
| 4.0ms | z | @ | 0 | ((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3) |
| 3.0ms | z | @ | -inf | ((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3) |
| 2.0ms | x | @ | -inf | ((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1106 |
| 0 | 133 | 973 |
| 0 | 462 | 970 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
#s(literal 2 binary64) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t)))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx t #s(hole binary64 t)) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))) |
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (PI.f64)) (fabs.f64 (PI.f64))) |
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) |
(PI.f64) |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1 binary64))) |
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))) |
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))) |
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y)) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 x y) z) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
t |
#s(literal 2 binary64) |
(/.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) |
(/.f64 (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
(+.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 1/2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) |
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y))) |
#s(approx x x) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx y y) |
#s(approx z z) |
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))) |
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64)))) |
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) |
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) |
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64))) |
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)))) |
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) |
Compiled 1 585 to 495 computations (68.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 0 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 64 | 4 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.1% | (*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
| ✓ | 97.8% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
Compiled 345 to 231 computations (33% saved)
Total -1.0b remaining (-85.8%)
Threshold costs -1b (-85.8%)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #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 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))) |
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))) |
13 calls:
| 23.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 14.0ms | y |
| 2.0ms | t |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (sqrt.f64 t) |
| 98.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | done |
Compiled 28 to 28 computations (0% saved)
(sort y z)
Compiled 103 to 102 computations (1% saved)
Loading profile data...