
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 2.3s | 15 077× | 0 | invalid |
| 1.7s | 8 256× | 0 | valid |
ival-mult: 1.3s (47.9% of total)ival-div: 775.0ms (28.3% of total)ival-sqrt: 392.0ms (14.3% of total)ival-acos: 189.0ms (6.9% of total)exact: 38.0ms (1.4% of total)ival-true: 16.0ms (0.6% of total)ival-assert: 8.0ms (0.3% of total)adjust: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 3 | (9.751846871896329e-85 -5.252966272746544e+235 -2.7470774971165724e-207 1.439571746930523e+66) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 14 | 0 | - | 0 | - | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 2 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | u/n | 19 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 57 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 57 | |
*.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 | 14 | 0 |
/.f64 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | n/o | 2 | 0 |
| ↳ | (*.f64 y #s(literal 27 binary64)) | overflow | 3 | |
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | o/n | 1 | 0 |
| ↳ | (*.f64 y #s(literal 27 binary64)) | overflow | 3 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | overflow | 1 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 35 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 35 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 246.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-acos: 156.0ms (70.3% of total)ival-div: 46.0ms (20.7% of total)ival-mult: 14.0ms (6.3% of total)ival-sqrt: 4.0ms (1.8% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 246 |
| 1 | 279 | 212 |
| 2 | 1015 | 184 |
| 3 | 3935 | 184 |
| 4 | 6986 | 184 |
| 0 | 18 | 17 |
| 0 | 29 | 17 |
| 1 | 50 | 15 |
| 2 | 137 | 13 |
| 3 | 494 | 13 |
| 4 | 2142 | 13 |
| 5 | 5176 | 13 |
| 0 | 8214 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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)))) |
| Outputs |
|---|
(*.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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(sort y z)
Compiled 19 to 18 computations (5.3% saved)
Compiled 0 to 4 computations (-∞% saved)
| 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)))) |
Compiled 19 to 18 computations (5.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 2 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 29 | 86 |
| 1 | 50 | 76 |
| 2 | 137 | 68 |
| 3 | 494 | 68 |
| 4 | 2142 | 68 |
| 5 | 5176 | 68 |
| 0 | 8214 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/.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 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 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))) |
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
(/.f64 (/.f64 x #s(literal 27 binary64)) y) |
x |
(*.f64 y #s(literal 27 binary64)) |
(*.f64 #s(literal 27 binary64) y) |
y |
#s(literal 27 binary64) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(sqrt.f64 t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4225330375875232 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | |
| accuracy | 0.9765625 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) | |
| accuracy | 3.214863048578086 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) | |
| accuracy | 4.701377500091685 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 31.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 8.0ms (44.4% of total)ival-div: 6.0ms (33.3% of total)ival-sqrt: 2.0ms (11.1% of total)ival-acos: 2.0ms (11.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
| Outputs |
|---|
#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 (* (/ 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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ 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 (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)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27))) |
| 5.0ms | t | @ | -inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27))) |
| 4.0ms | y | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27))) |
| 4.0ms | x | @ | inf | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27))) |
| 3.0ms | x | @ | 0 | ((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 160 |
| 1 | 111 | 145 |
| 2 | 345 | 133 |
| 3 | 1303 | 133 |
| 0 | 3811 | 133 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (* (/ 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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ 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 (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)))))) |
| Outputs |
|---|
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)) |
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y)))) |
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)) |
#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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
#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)) (sqrt t)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 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 (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
#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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 55 |
| 0 | 29 | 55 |
| 1 | 63 | 47 |
| 0 | 256 | 47 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
(/.f64 x (*.f64 y #s(literal 27 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.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 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64)) |
(*.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 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z) |
(/.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 2 binary64)) 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 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.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 #s(literal 2 binary64) z)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) 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 (*.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 (*.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 (*.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 #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 (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 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))) |
(*.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 (*.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 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) (sqrt.f64 t)) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t))) |
(/.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 (*.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 (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 (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 #s(literal 2 binary64) z)) |
(/.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 (/.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)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y))) |
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y))) |
Compiled 1 221 to 354 computations (71% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 3 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 3 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
| ▶ | 96.2% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
| ▶ | 96.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
Compiled 81 to 71 computations (12.3% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) | |
| cost-diff | 0 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 249 |
| 0 | 64 | 243 |
| 1 | 116 | 239 |
| 2 | 287 | 233 |
| 3 | 872 | 233 |
| 4 | 2462 | 233 |
| 5 | 6210 | 233 |
| 0 | 8777 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
y |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
#s(literal -1/18 binary64) |
z |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
x |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
z |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
y |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 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) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
#s(literal -1/18 binary64) |
z |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(sqrt.f64 t) |
t |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 (/.f64 x z) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 x #s(literal 27 binary64)) y) |
x |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
z |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4225330375875232 | (/.f64 x (*.f64 #s(literal 27 binary64) y)) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 3.214863048578086 | (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) | |
| accuracy | 4.723709630492114 | (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) | |
| accuracy | 0.7270351720227538 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) | |
| accuracy | 3.2434467652540726 | (*.f64 (/.f64 (sqrt.f64 t) y) x) | |
| accuracy | 4.731280813912406 | (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) | |
| accuracy | 0.203125 | (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/18 binary64) z) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) | |
| accuracy | 6.097230626903171 | (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
| 105.0ms | 256× | 0 | valid |
Compiled 227 to 43 computations (81.1% saved)
ival-mult: 35.0ms (44.1% of total)ival-div: 19.0ms (24% of total)const: 15.0ms (18.9% of total)ival-acos: 8.0ms (10.1% of total)ival-sqrt: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1/18 binary64) z) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 x (*.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 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z))))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z)))) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 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 (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y))) |
| 8.0ms | x | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y))) |
| 3.0ms | x | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y))) |
| 3.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y))) |
| 3.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 626 |
| 1 | 214 | 586 |
| 2 | 603 | 565 |
| 3 | 1869 | 565 |
| 0 | 4446 | 565 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z))))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z)))) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 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 (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) 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 (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#s(approx (* (/ (sqrt t) y) x) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z))))) |
#s(approx (/ (/ x (* 27 y)) z) (*.f64 #s(literal 1/27 binary64) (/.f64 x (*.f64 z y)))) |
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y)))) |
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y))) |
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z)))) |
#s(approx (/ (/ 1/18 z) y) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z))) |
#s(approx (/ 1/18 z) (/.f64 #s(literal 1/18 binary64) 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 (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
#s(approx (* (/ (sqrt t) y) x) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 205 |
| 0 | 64 | 205 |
| 1 | 150 | 201 |
| 0 | 554 | 201 |
| 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 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1/18 binary64) z) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 x (*.f64 #s(literal 27 binary64) y)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) x) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) |
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) (*.f64 (sqrt.f64 t) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))) |
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) |
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x (/.f64 #s(literal -1/18 binary64) z))) |
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal -1/18 binary64) z))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)) y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z) |
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64)) |
(*.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 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3/2 binary64) z)) |
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z) |
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) #s(literal 3/2 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal -27 binary64) y))) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) 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 (neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) z) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.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 #s(literal 2 binary64) z)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))) |
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) |
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) 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 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (sqrt.f64 t)) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) (sqrt.f64 t)) |
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (sqrt.f64 t))) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t))) |
(/.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 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z) |
(/.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 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z) |
(/.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 (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 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1/18 binary64) z) |
(neg.f64 (/.f64 #s(literal -1/18 binary64) z)) |
(/.f64 (/.f64 #s(literal -1/18 binary64) z) (neg.f64 y)) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) y)) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 z y))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z y)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) z) y)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (sqrt.f64 t) (/.f64 x y)) |
(*.f64 x (/.f64 (sqrt.f64 t) y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(/.f64 (/.f64 x #s(literal 27 binary64)) (*.f64 z y)) |
(/.f64 (/.f64 x y) (*.f64 #s(literal 27 binary64) z)) |
(/.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -27 binary64) y) z)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 x (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(neg.f64 (/.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) z)) |
(neg.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 27 binary64))) (neg.f64 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 (/.f64 x #s(literal 27 binary64)) y) |
(/.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)) |
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y))) |
Compiled 3 988 to 733 computations (81.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 3 | 147 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 0 | 0 |
| Total | 147 | 3 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
| ▶ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
| ▶ | 96.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
Compiled 81 to 71 computations (12.3% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) | |
| cost-diff | 0 | (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) | |
| cost-diff | 2 | (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) | |
| cost-diff | 0 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) | |
| cost-diff | 0 | (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 244 |
| 0 | 63 | 238 |
| 1 | 122 | 232 |
| 2 | 330 | 228 |
| 3 | 1040 | 228 |
| 4 | 2723 | 228 |
| 5 | 5983 | 228 |
| 0 | 8375 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
#s(literal 1/18 binary64) |
(*.f64 z y) |
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 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
x |
(sqrt.f64 t) |
t |
y |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(*.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.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 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) |
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
#s(literal 1/18 binary64) |
(*.f64 z y) |
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 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) |
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
x |
(sqrt.f64 t) |
t |
y |
#s(literal 1/3 binary64) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) |
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y) |
(sqrt.f64 t) |
t |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y) |
(*.f64 x #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) x) |
x |
#s(literal 3/2 binary64) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
(*.f64 #s(literal 27 binary64) y) |
#s(literal 27 binary64) |
y |
z |
#s(literal 1/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (*.f64 (*.f64 #s(literal 27 binary64) y) z) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) | |
| accuracy | 3.214863048578086 | (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) | |
| accuracy | 4.469041583823533 | (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/18 binary64) z) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) | |
| accuracy | 2.261763001562922 | (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) | |
| accuracy | 6.7001633129010285 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) | |
| accuracy | 0.19140625 | (*.f64 (sqrt.f64 t) x) | |
| accuracy | 0.5092373171843245 | (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) | |
| accuracy | 6.454912672743573 | (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
| 93.0ms | 256× | 0 | valid |
Compiled 222 to 42 computations (81.1% saved)
ival-mult: 23.0ms (37.5% of total)ival-acos: 19.0ms (31% of total)ival-div: 11.0ms (17.9% of total)const: 6.0ms (9.8% of total)ival-sqrt: 2.0ms (3.3% of total)exact: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) |
(/.f64 #s(literal 1/18 binary64) z) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x)))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z))))) |
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z)))) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 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 (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) 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 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z)) |
| 5.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z)) |
| 3.0ms | x | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z)) |
| 3.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z)) |
| 3.0ms | x | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 660 |
| 1 | 213 | 614 |
| 2 | 616 | 591 |
| 0 | 2134 | 591 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
#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 (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x)))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z))))) |
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z)))) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 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 (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) 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 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (/ (* x 3/2) (* (* 27 y) z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x)))) |
#s(approx (* (* (sqrt t) x) 1/18) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x)) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z))))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64))) |
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z)))) |
#s(approx (* (* 27 y) z) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z))) |
#s(approx (/ 1/18 z) (/.f64 #s(literal 1/18 binary64) 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 (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* 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 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) 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 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) |
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) 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 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) |
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) |
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (* (sqrt t) x) 1/18) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))) |
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x)) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z))))) |
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 205 |
| 0 | 63 | 199 |
| 1 | 155 | 193 |
| 0 | 598 | 193 |
| 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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)) |
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y) |
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) |
(/.f64 #s(literal 1/18 binary64) z) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)) |
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(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))) |
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 (/.f64 x #s(literal 27 binary64)) y) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t))) |
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3/2 binary64)) (*.f64 #s(literal 27 binary64) y)) z) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3/2 binary64)) z) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3/2 binary64)) #s(literal 27 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) y)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) y)) z) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) x) (sqrt.f64 t)) (*.f64 #s(literal -27 binary64) (*.f64 z y))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) z) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -3/2 binary64) x)) (*.f64 #s(literal -27 binary64) (*.f64 z y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3/2 binary64))) (*.f64 #s(literal -27 binary64) (*.f64 z y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z)) y)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) |
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) |
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 x (sqrt.f64 t)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) x) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) x)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1/18 binary64) z) |
(neg.f64 (/.f64 #s(literal -1/18 binary64) z)) |
(neg.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z))) |
(*.f64 (*.f64 z #s(literal 27 binary64)) y) |
(*.f64 (*.f64 #s(literal 27 binary64) z) y) |
(*.f64 (*.f64 #s(literal 27 binary64) y) z) |
(*.f64 (*.f64 z y) #s(literal 27 binary64)) |
(*.f64 z (*.f64 #s(literal 27 binary64) y)) |
(*.f64 #s(literal 27 binary64) (*.f64 z y)) |
(*.f64 y (*.f64 #s(literal 27 binary64) z)) |
Compiled 3 485 to 625 computations (82.1% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 1 | 117 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 0 | 0 |
| Total | 118 | 2 | 120 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
Compiled 46 to 41 computations (10.9% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 t) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) | |
| cost-diff | 0 | (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 0 | 20 | 57 |
| 1 | 30 | 57 |
| 2 | 61 | 57 |
| 3 | 138 | 57 |
| 4 | 226 | 57 |
| 5 | 260 | 57 |
| 0 | 260 | 57 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) |
#s(literal 1/18 binary64) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x))) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x)) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x) |
(sqrt.f64 t) |
t |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(/.f64 x (*.f64 z y)) |
(/.f64 x (*.f64 y z)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 1/3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.228847509768442 | (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) | |
| accuracy | 3.214863048578086 | (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) | |
| accuracy | 4.267909215764552 | (/.f64 x (*.f64 z y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 59 to 15 computations (74.6% saved)
ival-mult: 6.0ms (32.9% of total)const: 6.0ms (32.9% of total)ival-div: 2.0ms (11% of total)ival-sqrt: 2.0ms (11% of total)ival-acos: 2.0ms (11% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) |
(sqrt.f64 t) |
(/.f64 x (*.f64 z y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* 1/18 (/ 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 (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ 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 (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ x (* z y)) (* 1/18 (/ x (* z y)))) |
| 1.0ms | t | @ | -inf | ((* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ x (* z y)) (* 1/18 (/ x (* z y)))) |
| 1.0ms | x | @ | 0 | ((* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ x (* z y)) (* 1/18 (/ x (* z y)))) |
| 1.0ms | x | @ | inf | ((* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ x (* z y)) (* 1/18 (/ x (* z y)))) |
| 1.0ms | z | @ | -inf | ((* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ x (* z y)) (* 1/18 (/ x (* z y)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 188 |
| 1 | 91 | 180 |
| 2 | 260 | 178 |
| 0 | 892 | 178 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (sqrt t) (* 1/18 (/ 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 (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ 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 (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #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 |
|---|
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx (/ x (* z y)) (/.f64 x (*.f64 y z))) |
#s(approx (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* 1/18 (/ x (* z y))) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) |
#s(approx (sqrt t) #s(hole binary64 (sqrt t))) |
#s(approx (sqrt t) (sqrt.f64 t)) |
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ 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 (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))) |
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2))))) |
#s(approx (sqrt t) (sqrt.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 0 | 20 | 48 |
| 1 | 40 | 48 |
| 2 | 135 | 48 |
| 0 | 702 | 48 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) |
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))) |
(sqrt.f64 t) |
(/.f64 x (*.f64 z y)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 x z)) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)) #s(literal 1/18 binary64)) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 x z) (sqrt.f64 t))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 x y) (sqrt.f64 t))) |
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z))) |
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t)) |
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (neg.f64 y)) z) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z) |
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (sqrt.f64 t)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x))) (*.f64 y z)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z))) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x (neg.f64 y)) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) |
(*.f64 (neg.f64 (pow.f64 t #s(literal 1/4 binary64))) (neg.f64 (pow.f64 t #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 t #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 t #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 t #s(literal 1/2 binary64)) |
(sqrt.f64 t) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x z) y) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 x (*.f64 y z)) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) |
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1/18 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z)) |
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 y z))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x (neg.f64 y)) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x (neg.f64 y)) z) #s(literal 1/18 binary64))) |
Compiled 2 067 to 505 computations (75.6% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 0 | 114 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 114 | 2 | 116 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.9% | (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
| ✓ | 98.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
Compiled 240 to 121 computations (49.6% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 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 |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
13 calls:
| 7.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 4.0ms | z |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | (*.f64 z #s(literal 2 binary64)) |
| 3.0ms | y |
| 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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)) |
13 calls:
| 12.0ms | (*.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 | (sqrt.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | (sqrt.f64 t) |
| 97.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.9% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 97.9% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 97.9% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 97.9% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 97.9% | 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)) |
| 97.9% | 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))) |
| 97.9% | 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)))) |
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
13 calls:
| 1.0ms | (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))) |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 y #s(literal 27 binary64)) |
| 1.0ms | (sqrt.f64 t) |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | (sqrt.f64 t) |
| 96.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.9% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 96.9% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 96.9% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 96.9% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 96.9% | 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)) |
| 96.9% | 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))) |
| 96.9% | 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)))) |
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 75 |
| 1 | 63 | 75 |
| 2 | 151 | 75 |
| 3 | 539 | 75 |
| 4 | 2609 | 75 |
| 5 | 4817 | 75 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.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 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.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 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
| 1× | done |
Compiled 79 to 40 computations (49.4% saved)
(sort y z)
Compiled 296 to 204 computations (31.1% saved)
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