
Time bar (total: 4.5s)
| 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)
| 1.4s | 15 594× | 0 | invalid |
| 852.0ms | 8 256× | 0 | valid |
ival-mult!: 634.0ms (46.4% of total)ival-div!: 334.0ms (24.4% of total)ival-sqrt: 232.0ms (17% of total)ival-acos: 164.0ms (12% of total)adjust: 5.0ms (0.4% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 263 |
| 1 | 401 | 227 |
| 2 | 2127 | 227 |
| 3 | 7278 | 227 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
Compiled 38 to 36 computations (5.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 235 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
x |
(*.f64 y #s(literal 27 binary64)) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
#s(approx (* 3 (/ x (* y 27))) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) |
#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 #s(literal 2 binary64) z)) |
#s(approx z z) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
12 calls:
| Time | Variable | Point |
|---|---|---|
| 10.0ms | y | -inf |
| 5.0ms | z | inf |
| 4.0ms | x | -inf |
| 3.0ms | x | 0 |
| 3.0ms | x | inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 29 | 86 |
| 1 | 72 | 76 |
| 0 | 410 | 76 |
| 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 |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))))) |
(neg.f64 (-.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (+.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 2 binary64)) z) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (+.f64 z z)) |
(/.f64 (sqrt.f64 t) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))) |
(pow.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 z z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (+.f64 z z))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/27 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) (/.f64 x y)) #s(literal 27 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y) |
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 27 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x y) #s(literal 1/27 binary64)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -27 binary64) y))) |
(*.f64 x (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 x #s(literal 27 binary64)) y) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (/.f64 x y) #s(literal 27 binary64)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) |
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y))) |
(neg.f64 (/.f64 (neg.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)) |
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 z z) |
z |
#s(literal 2 binary64) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64))) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t))) |
(sqrt.f64 t) |
(fabs.f64 (neg.f64 (sqrt.f64 t))) |
(fabs.f64 (sqrt.f64 t)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) |
t |
Compiled 2 714 to 690 computations (74.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 2 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 2 | 132 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
| ▶ | 97.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
Compiled 48 to 42 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 309 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))) |
#s(literal 1/18 binary64) |
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y z) |
y |
z |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 x y)) |
#s(literal 1/9 binary64) |
(/.f64 x y) |
(+.f64 z z) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
#s(approx (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
#s(approx (/ (* x (sqrt t)) (* y z)) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))) |
#s(approx (* x (sqrt t)) (*.f64 x (sqrt.f64 t))) |
#s(approx x x) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
#s(approx (* 1/9 (/ x y)) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (* y z) (*.f64 y z)) |
#s(approx y y) |
#s(approx z z) |
#s(approx (+ z z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (/ (* x (sqrt t)) (* y z)) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))) |
#s(approx (* x (sqrt t)) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (/ (* x (sqrt t)) (* y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (* x (sqrt t)) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) |
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
12 calls:
| Time | Variable | Point |
|---|---|---|
| 9.0ms | y | inf |
| 3.0ms | y | -inf |
| 3.0ms | x | -inf |
| 2.0ms | z | -inf |
| 2.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 149 |
| 0 | 50 | 149 |
| 0 | 156 | 149 |
| 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))) |
#s(literal 1/18 binary64) |
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)) |
(*.f64 x (sqrt.f64 t)) |
x |
(sqrt.f64 t) |
t |
(*.f64 y z) |
y |
z |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 x y)) |
#s(literal 1/9 binary64) |
(/.f64 x y) |
(+.f64 z 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) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)))) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)))) |
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z y))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 (*.f64 z y))) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (sqrt.f64 t) x))) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 x (sqrt.f64 t)) |
x |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
(fabs.f64 (sqrt.f64 t)) |
t |
(*.f64 z y) |
(*.f64 y z) |
y |
z |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (+.f64 z z)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z z))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) (+.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (neg.f64 (+.f64 z z))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y) |
#s(literal 1/9 binary64) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z z)) z) |
(*.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 (neg.f64 z)) |
(+.f64 z z) |
Compiled 2 016 to 409 computations (79.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 2 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 73 | 2 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
| ▶ | 97.7% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))) |
Compiled 56 to 47 computations (16.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 344 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
z |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(/.f64 x (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
#s(approx (acos (* 1/18 (/ (/ (* (sqrt t) x) y) z))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
#s(approx (/ (/ (* (sqrt t) x) y) z) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))) |
#s(approx (/ (* (sqrt t) x) y) (/.f64 (*.f64 x (sqrt.f64 t)) y)) |
#s(approx (* (sqrt t) x) (*.f64 x (sqrt.f64 t))) |
#s(approx x x) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
#s(approx (/ x (* y z)) (/.f64 x (*.f64 y z))) |
#s(approx y y) |
#s(approx (* y z) (*.f64 y z)) |
#s(approx z z) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (/ (/ (* (sqrt t) x) y) z) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))) |
#s(approx (/ (* (sqrt t) x) y) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) y)) |
#s(approx (* (sqrt t) x) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (/ (/ (* (sqrt t) x) y) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (/ (* (sqrt t) x) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) y))) |
#s(approx (* (sqrt t) x) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))) |
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
12 calls:
| Time | Variable | Point |
|---|---|---|
| 48.0ms | y | inf |
| 3.0ms | x | -inf |
| 3.0ms | y | -inf |
| 2.0ms | x | inf |
| 2.0ms | z | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 187 |
| 0 | 53 | 187 |
| 0 | 166 | 187 |
| 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
z |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(/.f64 x (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64)))) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z) |
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (sqrt.f64 t) x) y))) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sqrt.f64 t) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) x))) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 x (sqrt.f64 t)) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
(fabs.f64 (sqrt.f64 t)) |
t |
x |
y |
z |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(*.f64 z y) |
(*.f64 y z) |
Compiled 2 181 to 383 computations (82.4% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 1 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 67 | 2 | 69 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
Compiled 46 to 38 computations (17.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 203 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(sqrt.f64 t) |
t |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (* (acos (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z)))) 1/3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
#s(approx (acos (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z)))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))) |
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))) |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) |
#s(approx (/ (/ x y) z) (/.f64 x (*.f64 y z))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx y y) |
#s(approx z z) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx t t) |
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) |
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))) |
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) |
12 calls:
| Time | Variable | Point |
|---|---|---|
| 13.0ms | t | -inf |
| 9.0ms | x | -inf |
| 2.0ms | x | inf |
| 2.0ms | y | -inf |
| 2.0ms | z | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 104 |
| 0 | 26 | 104 |
| 0 | 82 | 104 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(sqrt.f64 t) |
t |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
#s(literal 1/18 binary64) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
(fabs.f64 (sqrt.f64 t)) |
t |
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 y z)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
z |
#s(literal 1/3 binary64) |
Compiled 795 to 183 computations (77% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 0 | 31 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 31 | 2 | 33 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
Compiled 46 to 38 computations (17.4% saved)
Total -0.9b remaining (-70.9%)
Threshold costs -0.9b (-70.9%)
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.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)))) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64)) |
13 calls:
| 5.0ms | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | z |
| 2.0ms | x |
| 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 229 to 181 computations (21% saved)
| 1× | done |
Compiled 23 to 19 computations (17.4% saved)
Compiled 42 to 37 computations (11.9% saved)
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