
Time bar (total: 11.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 3.1s | 15 773× | 0 | invalid |
| 1.6s | 8 256× | 0 | valid |
ival-mult: 1.7s (49% of total)ival-div: 1.1s (32.9% of total)ival-sqrt: 284.0ms (8.3% of total)ival-acos: 245.0ms (7.2% of total)exact: 49.0ms (1.4% of total)ival-true: 21.0ms (0.6% of total)ival-assert: 9.0ms (0.3% of total)adjust: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 18 | 0 | - | 1 | (-1.915270031757876e+69 1.494896440439406e+196 -2.5295662417925397e+182 1018265278713.123) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 1 | (1.7939034118145636e-289 2.722344491978214e+33 -1.0308786816442885e+120 1.150325416064164e-99) | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 27 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 t) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | u/n | 21 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 58 | |
| ↳ | (*.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 | 17 | 0 |
*.f64 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 39 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 39 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 217 |
| 1 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 72.0ms | 512× | 0 | valid |
Compiled 203 to 58 computations (71.4% saved)
ival-div: 17.0ms (34.7% of total)ival-mult: 17.0ms (34.7% of total)ival-sqrt: 8.0ms (16.3% of total)ival-acos: 5.0ms (10.2% of total)exact: 1.0ms (2% 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 | 92 | 263 |
| 1 | 287 | 227 |
| 2 | 1042 | 197 |
| 3 | 3987 | 197 |
| 4 | 7017 | 197 |
| 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 |
|---|---|---|
| ▶ | 98.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
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 | 0.4675390619529084 | (/.f64 x (*.f64 y #s(literal 27 binary64))) | |
| accuracy | 0.97265625 | (*.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 | 3.59544201794985 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 3.615345923433535 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 50.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-div: 17.0ms (43.9% of total)ival-mult: 16.0ms (41.3% of total)ival-acos: 3.0ms (7.7% of total)ival-sqrt: 2.0ms (5.2% 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 | |
|---|---|---|---|---|
| 9.0ms | 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))) |
| 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))) |
| 3.0ms | 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))) |
| 2.0ms | 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))) |
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)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 2 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 63 | 2 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | #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 66 to 56 computations (15.2% saved)
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 36 | 176 |
| 0 | 49 | 176 |
| 1 | 87 | 172 |
| 2 | 222 | 168 |
| 3 | 675 | 168 |
| 4 | 2528 | 168 |
| 5 | 5482 | 168 |
| 0 | 8239 | 168 |
| 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) |
| 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 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z) |
(/.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) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8812908822755188 | #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 | 3.2863861627286957 | (*.f64 (/.f64 (sqrt.f64 t) y) x) | |
| accuracy | 3.3788590883540195 | (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z) | |
| accuracy | 0.2734375 | (*.f64 (sqrt.f64 t) x) | |
| accuracy | 0.296875 | (/.f64 #s(literal 1/18 binary64) z) | |
| accuracy | 0.97265625 | (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)) | |
| accuracy | 7.112615750687509 | (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)) |
| 121.0ms | 256× | 0 | valid |
Compiled 154 to 35 computations (77.3% saved)
ival-div: 63.0ms (62.1% of total)ival-mult: 19.0ms (18.7% of total)const: 10.0ms (9.9% of total)ival-acos: 6.0ms (5.9% of total)ival-sqrt: 2.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 #s(literal 1/18 binary64) z) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
| 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 (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#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 (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 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) (/ 1/18 z) (* (sqrt t) x) (* (/ (sqrt t) y) x)) |
| 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) (/ 1/18 z) (* (sqrt t) x) (* (/ (sqrt t) y) x)) |
| 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) (/ 1/18 z) (* (sqrt t) x) (* (/ (sqrt t) y) x)) |
| 2.0ms | 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) (/ 1/18 z) (* (sqrt t) x) (* (/ (sqrt t) y) x)) |
| 2.0ms | 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) (/ 1/18 z) (* (sqrt t) x) (* (/ (sqrt t) y) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 430 |
| 1 | 173 | 402 |
| 2 | 521 | 389 |
| 0 | 1841 | 389 |
| 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 (* (/ (/ 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 (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#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 (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2)))))) |
#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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) |
#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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
#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 (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x))) |
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) 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 (/ 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 (* (/ 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))) |
#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 (* (/ 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))) |
#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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
#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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) |
#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 (* (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 (* (/ (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 | 36 | 143 |
| 0 | 49 | 143 |
| 1 | 114 | 139 |
| 0 | 439 | 139 |
| 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 #s(literal 1/18 binary64) z) |
(*.f64 (sqrt.f64 t) x) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
| 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 #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 (sqrt.f64 t) x) |
(*.f64 x (sqrt.f64 t)) |
(*.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) |
Compiled 2 467 to 332 computations (86.5% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 2 | 65 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 64 | 3 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.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))))))) #s(literal 1/3 binary64))) |
| ✓ | 96.4% | #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 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))) |
Compiled 153 to 95 computations (37.9% saved)
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.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))))))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.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))))))) #s(literal 1/3 binary64))) | |
| cost-diff | 2 | (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)))))) | |
| cost-diff | 11 | (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))))) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 488 |
| 0 | 68 | 433 |
| 1 | 145 | 429 |
| 2 | 414 | 421 |
| 3 | 1328 | 421 |
| 4 | 4792 | 421 |
| 0 | 8198 | 417 |
| 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 (/.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))))))) #s(literal 1/3 binary64))) |
(*.f64 (/.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))))))) #s(literal 1/3 binary64)) |
(/.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 (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))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(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)) |
(asin.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 (/.f64 #s(literal 1/18 binary64) z) y) x) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
y |
x |
(sqrt.f64 t) |
t |
(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)))))) |
(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)))) |
#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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #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 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)) |
(*.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 (/.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))))))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64))))) |
(*.f64 (/.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))))))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)))) |
(/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))))) |
(-.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))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(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)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)) |
(*.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) x) |
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64)) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
y |
x |
(sqrt.f64 t) |
t |
(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)))))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))))) |
(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 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))) |
(*.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 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9765625 | (/.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))))))) | |
| accuracy | 1.0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 3.615345923433535 | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)) | |
| accuracy | 5.17747327943462 | (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) | |
| accuracy | 0.2734375 | (*.f64 (sqrt.f64 t) x) | |
| accuracy | 0.40138627930532605 | (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.97265625 | (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)) | |
| accuracy | 7.169014774079664 | (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
| 108.0ms | 256× | 0 | valid |
Compiled 419 to 45 computations (89.3% saved)
ival-mult: 40.0ms (45.1% of total)ival-div: 17.0ms (19.1% of total)const: 10.0ms (11.3% of total)ival-acos: 7.0ms (7.9% of total)ival-pow: 7.0ms (7.9% of total)ival-add: 2.0ms (2.3% of total)ival-asin: 2.0ms (2.3% of total)ival-sqrt: 2.0ms (2.3% of total)ival-pi: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 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)) |
(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))))) |
(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)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.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))))))) #s(literal 1/3 binary64))) |
(*.f64 (/.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))))))) #s(literal 1/3 binary64)) |
(*.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) y) x) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.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))))))) |
| 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 (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#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) y) x) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (* (/ (/ 1/18 z) y) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#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 (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))))) |
#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) y) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | z | @ | 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)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (/ (/ 1/18 z) y) x) (* (* (/ (/ 1/18 z) y) x) (sqrt t)) (pow (/ (PI) 2) 3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))))) |
| 11.0ms | 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)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (/ (/ 1/18 z) y) x) (* (* (/ (/ 1/18 z) y) x) (sqrt t)) (pow (/ (PI) 2) 3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))))) |
| 10.0ms | 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)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (/ (/ 1/18 z) y) x) (* (* (/ (/ 1/18 z) y) x) (sqrt t)) (pow (/ (PI) 2) 3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))))) |
| 6.0ms | 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)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (/ (/ 1/18 z) y) x) (* (* (/ (/ 1/18 z) y) x) (sqrt t)) (pow (/ (PI) 2) 3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))))) |
| 6.0ms | 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)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (/ (/ 1/18 z) y) x) (* (* (/ (/ 1/18 z) y) x) (sqrt t)) (pow (/ (PI) 2) 3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 1086 |
| 1 | 279 | 1010 |
| 2 | 912 | 977 |
| 0 | 3205 | 957 |
| 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 (/ (* (* (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 (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#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) y) x) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (* (/ (/ 1/18 z) y) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#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 (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))))) |
#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) y) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))) |
| 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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #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) y) x) (/.f64 #s(literal 1/18 binary64) z)))) |
#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) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
#s(approx (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) |
#s(approx (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) #s(literal 1/3 binary64))) |
#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) y) x) #s(hole binary64 (* 1/18 (/ x (* y z))))) |
#s(approx (* (/ (/ 1/18 z) y) x) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)) |
#s(approx (* (* (/ (/ 1/18 z) y) x) (sqrt t)) #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) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.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) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
#s(approx (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) #s(hole binary64 (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) |
#s(approx (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))) |
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))))) #s(literal 1/3 binary64))) |
#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) y) x) (sqrt t)) #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) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)))) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 397 |
| 0 | 68 | 212 |
| 1 | 245 | 208 |
| 0 | 1696 | 207 |
| 1× | iter limit |
| 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)) |
(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))))) |
(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)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.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))))))) #s(literal 1/3 binary64))) |
(*.f64 (/.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))))))) #s(literal 1/3 binary64)) |
(*.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) y) x) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.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))))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (-.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 9 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) |
Compiled 19 989 to 1 311 computations (93.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 4 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 0 | 1 |
| Total | 231 | 5 | 236 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
| ▶ | 96.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))) |
| ▶ | 97.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
| ▶ | 97.7% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
Compiled 392 to 200 computations (49% saved)
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) | |
| cost-diff | 1 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) | |
| cost-diff | 0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #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 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) | |
| cost-diff | 0 | #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1489 |
| 0 | 139 | 1447 |
| 1 | 273 | 1436 |
| 2 | 743 | 1428 |
| 3 | 2458 | 1428 |
| 0 | 8284 | 1425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) |
#s(literal 1/2 binary64) |
#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 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 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 |
(sqrt.f64 t) |
t |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
#s(literal 1/3 binary64) |
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) |
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))) |
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) |
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(/.f64 (sqrt.f64 t) y) |
(sqrt.f64 t) |
t |
y |
x |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) |
(*.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) |
#s(literal 1/2 binary64) |
#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 x (*.f64 z y))) (sqrt.f64 t))) #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) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) |
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64)) |
#s(literal -1/18 binary64) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sqrt.f64 t) |
t |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))))) (-.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) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))))) (-.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) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(-.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) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) |
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))))) |
#s(literal 1/3 binary64) |
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #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 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(*.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) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) #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 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(-.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) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) #s(literal 3 binary64)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) |
(asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (sqrt.f64 t) x) |
(sqrt.f64 t) |
t |
x |
y |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) #s(literal 2 binary64)) |
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) |
(+.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) |
(fma.f64 (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 1.58496250072115 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) | |
| accuracy | 1.7814347993634017 | (/.f64 (*.f64 (sqrt.f64 t) x) y) | |
| accuracy | 3.4886598417472925 | (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) | |
| accuracy | 0.296875 | (/.f64 #s(literal 1/18 binary64) z) | |
| accuracy | 1.0 | (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 1.7814347993634017 | (/.f64 (*.f64 (sqrt.f64 t) x) y) | |
| accuracy | 3.4886598417472925 | (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) | |
| accuracy | 0.8812908822755188 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) | |
| accuracy | 0.9765625 | (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)) | |
| accuracy | 3.615345923433535 | (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)) | |
| accuracy | 5.41096990524917 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.9765625 | (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 3.2863861627286957 | (*.f64 (/.f64 (sqrt.f64 t) y) x) | |
| accuracy | 3.4886598417472925 | (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
| 186.0ms | 256× | 0 | valid |
Compiled 1 121 to 84 computations (92.5% saved)
ival-mult: 40.0ms (28% of total)ival-div: 24.0ms (16.8% of total)ival-pow: 23.0ms (16.1% of total)ival-acos: 18.0ms (12.6% of total)const: 10.0ms (7% of total)ival-sub: 7.0ms (4.9% of total)ival-add: 6.0ms (4.2% of total)ival-pow2: 6.0ms (4.2% of total)ival-asin: 5.0ms (3.5% of total)ival-sqrt: 2.0ms (1.4% of total)ival-pi: 1.0ms (0.7% of total)exact: 1.0ms (0.7% 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 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(/.f64 #s(literal 1/18 binary64) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
| 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 (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
#s(approx (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) #s(hole binary64 (* 1/3 (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) 2))))))) |
#s(approx (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) 2))))))) |
#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) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx (* (/ (* (sqrt t) x) y) (/ 1/18 z)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (sqrt t) x) y) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#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 (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
#s(approx (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) #s(hole binary64 (* 1/3 (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) 2))))))) |
#s(approx (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) 2))))))) |
#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) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
#s(approx (* (/ (* (sqrt t) x) y) (/ 1/18 z)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (sqrt t) x) y) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (pow (/ (PI) 2) 3) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (pow (PI) 3) (/ x (* z y)) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (/ 1/18 z) (pow (/ (PI) 2) 4)) |
| 16.0ms | z | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (pow (/ (PI) 2) 3) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (pow (PI) 3) (/ x (* z y)) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (/ 1/18 z) (pow (/ (PI) 2) 4)) |
| 16.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (pow (/ (PI) 2) 3) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (pow (PI) 3) (/ x (* z y)) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (/ 1/18 z) (pow (/ (PI) 2) 4)) |
| 15.0ms | x | @ | inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (pow (/ (PI) 2) 3) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (pow (PI) 3) (/ x (* z y)) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (/ 1/18 z) (pow (/ (PI) 2) 4)) |
| 14.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (pow (/ (PI) 2) 3) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (* (/ (sqrt t) y) x) (pow (PI) 3) (/ x (* z y)) (* (/ (* (sqrt t) x) y) (/ 1/18 z)) (/ (* (sqrt t) x) y) (/ 1/18 z) (pow (/ (PI) 2) 4)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2188 |
| 1 | 515 | 2072 |
| 2 | 1572 | 2042 |
| 3 | 5650 | 2042 |
| 0 | 8548 | 2008 |
| 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 (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
#s(approx (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) #s(hole binary64 (* 1/3 (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) 2))))))) |
#s(approx (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) 2))))))) |
#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) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z)))) |
#s(approx (* (/ (* (sqrt t) x) y) (/ 1/18 z)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (/ (* (sqrt t) x) y) #s(hole binary64 (* (sqrt t) (/ x y)))) |
#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 (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) |
#s(approx (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) |
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))))) #s(hole binary64 (* 1/3 (/ (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) 2))))))) |
#s(approx (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) 2))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2) (pow (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) 2))))))) |
#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) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
#s(approx (* (/ (* (sqrt t) x) y) (/ 1/18 z)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
#s(approx (/ (* (sqrt t) x) y) #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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))) |
#s(approx (/ (- (* (pow (PI) 3) 1/8) (pow (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z))) 3)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* 1/2 (PI)) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))) (asin (* (* (/ (sqrt t) y) x) (/ 1/18 z)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))) |
#s(approx (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) |
#s(approx (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z)))))) |
#s(approx (* (* -1/18 (/ x (* z y))) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
#s(approx (* (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (/ 1/3 (+ (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (pow (/ (PI) 2) 2)))) #s(hole binary64 (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))) |
#s(approx (* (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) |
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) |
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#s(approx (- (pow (/ (PI) 2) 2) (* (+ (/ (PI) 2) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z)))) (asin (* (/ (* (sqrt t) x) y) (/ 1/18 z))))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
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#s(approx (* (* (/ (sqrt t) y) x) (/ 1/18 z)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) |
#s(approx (/ (* (sqrt t) x) y) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y))))) |
#s(approx (* (/ (sqrt t) y) x) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) (sqrt.f64 t))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 983 |
| 0 | 139 | 941 |
| 1 | 516 | 581 |
| 0 | 3787 | 581 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64)) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (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 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(/.f64 #s(literal 1/18 binary64) z) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)))))) |
#s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))))))) |
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(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) |
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (/.f64 x z) y) |
(/.f64 (/.f64 x y) z) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) x) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (/.f64 (sqrt.f64 t) y)) |
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 (sqrt.f64 t) y) x)) |
(*.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) z) x)) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x)) |
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))) |
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) 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 (/.f64 (sqrt.f64 t) y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (neg.f64 x) (sqrt.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y) |
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)) |
(*.f64 (/.f64 x y) (sqrt.f64 t)) |
(*.f64 (/.f64 (sqrt.f64 t) y) x) |
(*.f64 (sqrt.f64 t) (/.f64 x y)) |
(*.f64 x (/.f64 (sqrt.f64 t) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 t))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) (neg.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 t) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) y)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 y))) |
(/.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal 8 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64)))) |
Compiled 72 266 to 3 160 computations (95.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 4 | 594 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 593 | 6 | 599 |
| Status | Accuracy | Program |
|---|---|---|
| 98.4% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) | |
| 96.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))) |
| ✓ | 97.1% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
| 99.2% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) | |
| 97.7% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
Compiled 1 510 to 423 computations (72% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #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))) |
#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 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.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))))))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))))))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
13 calls:
| 59.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 8.0ms | (*.f64 z #s(literal 2 binary64)) |
| 4.0ms | (sqrt.f64 t) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (sqrt.f64 t) |
| 99.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.2% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.2% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.2% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.2% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.2% | 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)) |
| 99.2% | 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))) |
| 99.2% | 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)))) |
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #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))) |
#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 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #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 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
| 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)))) |
13 calls:
| 4.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 3.0ms | (*.f64 y #s(literal 27 binary64)) |
| 3.0ms | t |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (sqrt.f64 t) |
| 98.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.5% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.5% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.5% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.5% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.5% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.5% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Total -1.5b remaining (-80.3%)
Threshold costs -1.5b (-80.3%)
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.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 (* (/ 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) 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 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
13 calls:
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | t |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | (sqrt.f64 t) |
| 97.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 97.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 97.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 97.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 97.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 97.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 97.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | z |
| 97.1% | 1 | t |
Compiled 83 to 108 computations (-30.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 179 |
| 1 | 143 | 179 |
| 2 | 384 | 179 |
| 3 | 1308 | 179 |
| 4 | 5269 | 179 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(approx (/ (- (pow (/ (PI) 2) 3) (pow (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) 3)) (+ (* (/ (PI) 2) (/ (PI) 2)) (+ (* (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t)))) (* (/ (PI) 2) (asin (* (* (/ (/ 1/18 z) y) x) (sqrt t))))))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z)))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal 1/18 binary64) z))))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64))) |
| 1× | fuel |
Compiled 195 to 82 computations (57.9% saved)
Compiled 1 034 to 484 computations (53.2% saved)
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