
Time bar (total: 4.6s)
| 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 | 15 532× | 0 | invalid |
| 954.0ms | 8 256× | 0 | valid |
ival-mult!: 543.0ms (38.1% of total)ival-sqrt: 377.0ms (26.4% of total)ival-div!: 303.0ms (21.2% of total)ival-acos: 199.0ms (13.9% of total)adjust: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 0 | - | 2 | (1.2331215860333657e-94 -4.77723000347445e+221 2.7604713128218934e-257 5.212422907298538e-221) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 15 | 0 | - | 4 | (2.024785073743844e-113 9.120084662931486e+136 1.7654070793966414e+60 3.2107602095432623e+276) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 1 | (1.9874019688287874e-191 -5.7696464621169936e+131 1.7118502209402074e-121 6.68800352492644e+86) | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | u/n | 17 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 59 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 58 | |
*.f64 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | n*u | 11 | 0 |
*.f64 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 29 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 29 | 0 | 227 |
| number | freq |
|---|---|
| 0 | 227 |
| 1 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 45.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-mult!: 10.0ms (41.9% of total)ival-div!: 5.0ms (20.9% of total)ival-sqrt: 4.0ms (16.8% of total)ival-acos: 4.0ms (16.8% of total)adjust: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 263 |
| 1 | 287 | 227 |
| 2 | 1042 | 197 |
| 3 | 3987 | 197 |
| 4 | 7017 | 197 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(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 | |
|---|---|---|---|---|
| 7.0ms | 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) |
| 3.0ms | t | @ | -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) |
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 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))) |
#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 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) 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 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) 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 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #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 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)))) |
Compiled 1 116 to 218 computations (80.5% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 4 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 4 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
| ▶ | 98.1% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| ▶ | 97.1% | #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))) |
| ▶ | 96.8% | #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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
Compiled 102 to 92 computations (9.8% 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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#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 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 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 #s(literal 1/3 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)))) |
(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)))) |
#s(literal 3 binary64) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
(*.f64 y #s(literal 27 binary64)) |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 t) (*.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) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) |
(/.f64 #s(literal 3 binary64) z) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
| 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 y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #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 (* 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* y 27) #s(hole binary64 (* 27 y))) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* z 2) #s(hole binary64 (* 2 z))) |
#s(approx (/ 3 z) #s(hole binary64 (/ 3 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 y) (/ -1 z)))) 1/3) #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 y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #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 (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #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 (* 1/3 (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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y)) |
| 6.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y)) |
| 4.0ms | x | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y)) |
| 3.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y)) |
| 3.0ms | y | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1293 |
| 0 | 204 | 1221 |
| 0 | 390 | 1221 |
| 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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#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 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 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 #s(literal 1/3 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)))) |
(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)))) |
#s(literal 3 binary64) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
(*.f64 y #s(literal 27 binary64)) |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 t) (*.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) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) |
(/.f64 #s(literal 3 binary64) z) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) y) |
#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 y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #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 (* 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* y 27) #s(hole binary64 (* 27 y))) |
#s(approx (* 27 y) #s(hole binary64 (* 27 y))) |
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* z 2) #s(hole binary64 (* 2 z))) |
#s(approx (/ 3 z) #s(hole binary64 (/ 3 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 y) (/ -1 z)))) 1/3) #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 y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #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 (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #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 (* 1/3 (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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
| Outputs |
|---|
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (neg.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 (neg.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 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
(acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 (neg.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)) (neg.f64 (/.f64 x (*.f64 z y)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t))) |
(*.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 #s(literal -1 binary64) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) x) y) z) |
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) z)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 z y))) |
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 z y)) |
(neg.f64 (/.f64 x (*.f64 z y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
#s(literal -1 binary64) |
z |
#s(literal 1/3 binary64) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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 (/.f64 x z) y) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y)) |
#s(literal 3 binary64) |
(/.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 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(+.f64 z z) |
#s(literal 2 binary64) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -3 binary64) (neg.f64 z)) |
(/.f64 #s(literal 3 binary64) z) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) |
(/.f64 x (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64))) |
(/.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(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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 y) (/ -1 z)))) 1/3) (*.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 y) (/ -1 z)))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ x y) (/ -1 z)) (neg.f64 (/.f64 x (*.f64 z y)))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (*.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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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 (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (* 3 (/ x (* y 27))) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) |
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y))) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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 (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) |
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y))) |
#s(approx y y) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y)) |
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y)) |
#s(approx (/ -1 z) (/.f64 #s(literal -1 binary64) z)) |
#s(approx z z) |
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (/ 3 z) (/.f64 #s(literal 3 binary64) 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.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 y) (/ -1 z)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))) |
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
#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 (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.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 (neg.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 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))) |
Compiled 4 905 to 643 computations (86.9% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 2 | 171 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 172 | 3 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
| ▶ | 97.7% | #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))) |
| ✓ | 97.1% | #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 89 to 77 computations (13.5% 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) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/54 binary64) (/.f64 x y)) |
#s(literal 1/54 binary64) |
(/.f64 x y) |
| 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))) 1/3) #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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (* 1/54 (/ x y)) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 3 z) #s(hole binary64 (/ 3 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))) 1/3) #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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y)) |
| 19.0ms | 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) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y)) |
| 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) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y)) |
| 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) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y)) |
| 2.0ms | 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 724 |
| 0 | 125 | 696 |
| 0 | 276 | 696 |
| 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) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/54 binary64) (/.f64 x y)) |
#s(literal 1/54 binary64) |
(/.f64 x y) |
#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))) 1/3) #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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (* 1/54 (/ x y)) #s(hole binary64 (* 1/54 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 3 z) #s(hole binary64 (/ 3 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))) 1/3) #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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
| Outputs |
|---|
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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)) (/.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) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))) |
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) |
(*.f64 #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (/.f64 #s(literal 3 binary64) z)) |
(/.f64 (*.f64 #s(literal 3 binary64) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) z) |
(/.f64 #s(literal -3 binary64) (neg.f64 z)) |
(/.f64 #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/54 binary64)) |
(*.f64 #s(literal 1/54 binary64) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/54 binary64) x) y) |
#s(literal 1/54 binary64) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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))) 1/3) (*.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 z) (/.f64 x z)) |
#s(approx x x) |
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.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 (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) |
#s(approx (* 1/54 (/ x y)) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx y y) |
#s(approx z z) |
#s(approx (/ 3 z) (/.f64 #s(literal 3 binary64) 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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #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 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) |
#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 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) |
Compiled 2 590 to 330 computations (87.3% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 0 | 85 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 85 | 3 | 88 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
| ✓ | 97.7% | #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))) |
| ✓ | 97.1% | #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 266 to 151 computations (43.2% 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 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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 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 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #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) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
13 calls:
| 41.0ms | (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 | z |
| 2.0ms | t |
| 2.0ms | (*.f64 z #s(literal 2 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)
| 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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 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) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)) |
13 calls:
| 50.0ms | y |
| 4.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | z |
| 2.0ms | 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)
| 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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #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 (/.f64 x z) y))) #s(literal 1/3 binary64))) |
13 calls:
| 4.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | t |
| 1.0ms | (sqrt.f64 t) |
| 1.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 1.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (sqrt.f64 t) |
| 97.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.7% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 97.7% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 97.7% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 97.7% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 97.7% | 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)) |
| 97.7% | 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))) |
| 97.7% | 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)))) |
| 97.7% | 1 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| 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))) |
| 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:
| 2.0ms | (sqrt.f64 t) |
| 1.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 y #s(literal 27 binary64)) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | (sqrt.f64 t) |
| 97.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 97.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 97.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 97.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 97.1% | 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)) |
| 97.1% | 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))) |
| 97.1% | 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)))) |
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | z |
| 97.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | done |
Compiled 106 to 56 computations (47.2% saved)
(sort y z)
Compiled 496 to 368 computations (25.8% saved)
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