Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D
Time bar (total: 15.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 4.2% | 3.1% | 71.7% | 0.2% | 0% | 25% | 0% | 9 |
| 4.2% | 3.1% | 71.3% | 0.2% | 0% | 25.3% | 0% | 10 |
| 6.3% | 4.7% | 69.2% | 0.2% | 0% | 25.9% | 0% | 11 |
| 9.2% | 6.6% | 65.8% | 0.2% | 0% | 27.4% | 0% | 12 |
Compiled 21 to 20 computations (4.8% saved)
| 2.6s | 15 466× | 0 | invalid |
| 974.0ms | 8 256× | 0 | valid |
ival-mult: 852.0ms (41.2% of total)ival-div: 759.0ms (36.7% of total)ival-sqrt: 196.0ms (9.5% of total)ival-acos: 193.0ms (9.3% of total)exact: 42.0ms (2% of total)ival-true: 19.0ms (0.9% of total)ival-assert: 10.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 22 | 1 | (4.729762703570369e-201 7.572544721788006e+228 3.1073163156451336e-18 6.994451400208573e+180) | 4 | (3.2749489930266214e-33 -1.7554613375098235e+102 -5.348900330904901e+183 5.362465768557115e+230) | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 22 | 1 | (-1.7676518061090367e-294 -3.505957872964008e+278 7.021877087514886e-251 1.2589183043043427e+73) | 1 | (-8.023135607663848e-132 -1.2701029050371996e+186 1.5100016670100068e-224 1.9390773449842095e+127) | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 27 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.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 | 22 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 27 binary64))) | underflow | 66 | |
| ↳ | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | underflow | 66 | |
*.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 | 19 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 40 | 215 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 40 | 0 | 215 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 131.0ms | 512× | 0 | valid |
Compiled 293 to 76 computations (74.1% saved)
ival-div: 70.0ms (64.7% of total)ival-mult: 28.0ms (25.9% of total)ival-sqrt: 4.0ms (3.7% of total)ival-acos: 4.0ms (3.7% of total)exact: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 246 |
| 1 | 275 | 212 |
| 2 | 967 | 184 |
| 3 | 3633 | 184 |
| 4 | 4329 | 184 |
| 5 | 5231 | 184 |
| 6 | 6476 | 184 |
| 0 | 18 | 17 |
| 0 | 29 | 17 |
| 1 | 49 | 15 |
| 2 | 127 | 13 |
| 3 | 394 | 13 |
| 4 | 1401 | 13 |
| 5 | 3100 | 13 |
| 6 | 3190 | 13 |
| 7 | 3241 | 13 |
| 8 | 3241 | 13 |
| 9 | 3241 | 13 |
| 10 | 3840 | 13 |
| 11 | 3879 | 13 |
| 12 | 3879 | 13 |
| 0 | 3879 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64)) |
(sort y z)
Compiled 19 to 18 computations (5.3% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
Compiled 19 to 18 computations (5.3% saved)
| 1× | egg-herbie |
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 | 320 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| cost-diff | 320 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 29 | 86 |
| 1 | 49 | 76 |
| 2 | 127 | 68 |
| 3 | 394 | 68 |
| 4 | 1401 | 68 |
| 5 | 3100 | 68 |
| 6 | 3190 | 68 |
| 7 | 3241 | 68 |
| 8 | 3241 | 68 |
| 9 | 3241 | 68 |
| 10 | 3840 | 68 |
| 11 | 3879 | 68 |
| 12 | 3879 | 68 |
| 0 | 3879 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) |
(*.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) x) (/.f64 (/.f64 (sqrt.f64 t) y) z)) |
(/.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) y) (/.f64 x z)) |
(*.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 x (*.f64 #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 | 0.23828125 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) | |
| accuracy | 0.984375 | (*.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 | 4.341668152901032 | (*.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 | 5.5457329590084505 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 33.0ms | 256× | 0 | valid |
Compiled 182 to 38 computations (79.1% saved)
ival-mult: 7.0ms (41.3% of total)ival-div: 5.0ms (29.5% of total)ival-sqrt: 2.0ms (11.8% of total)ival-acos: 2.0ms (11.8% of total)ival-true: 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)) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 97.0ms | 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))) |
| 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))) |
| 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))) |
| 2.0ms | 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))) |
| 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))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 63 |
| 1 | 61 | 60 |
| 2 | 190 | 58 |
| 3 | 714 | 58 |
| 4 | 2535 | 58 |
| 5 | 4427 | 58 |
| 6 | 6197 | 58 |
| 0 | 8055 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/18 (/ x (* y z))) |
(* 1/9 (/ x y)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
| Outputs |
|---|
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* 1/9 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/9 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 50 |
| 0 | 29 | 50 |
| 1 | 69 | 42 |
| 2 | 387 | 36 |
| 3 | 3762 | 36 |
| 0 | 8368 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) #s(literal -3/2 binary64)) |
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(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t))) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t))) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (sqrt.f64 t)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) #s(literal 27 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x y)) #s(literal 54 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) z) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) x) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal 2/3 binary64)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal 54 binary64) y)) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 y (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))) |
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
Compiled 10 088 to 2 606 computations (74.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 2 | 523 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 522 | 2 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 60 to 52 computations (13.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #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) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 205 |
| 0 | 51 | 205 |
| 1 | 87 | 195 |
| 2 | 205 | 185 |
| 3 | 544 | 185 |
| 4 | 1586 | 185 |
| 5 | 3042 | 185 |
| 6 | 3079 | 185 |
| 7 | 3098 | 185 |
| 8 | 3098 | 185 |
| 9 | 3098 | 185 |
| 10 | 3596 | 185 |
| 11 | 3612 | 185 |
| 12 | 3612 | 185 |
| 0 | 3612 | 185 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 1/18 binary64) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| accuracy | 4.341668152901032 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 6.505542566234407 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.248378759768442 | (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 2.4235223387672233 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.997965115400822 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 98.0ms | 256× | 0 | valid |
Compiled 378 to 69 computations (81.7% saved)
ival-mult: 48.0ms (58.4% of total)ival-div: 19.0ms (23.1% of total)const: 6.0ms (7.3% of total)ival-acos: 6.0ms (7.3% of total)ival-sqrt: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 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 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 4.0ms | y | @ | 0 | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 2.0ms | y | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 2.0ms | t | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 2.0ms | z | @ | -inf | ((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 122 |
| 1 | 81 | 110 |
| 2 | 296 | 108 |
| 3 | 1275 | 108 |
| 4 | 3315 | 108 |
| 5 | 5118 | 108 |
| 6 | 7272 | 108 |
| 0 | 8015 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
| Outputs |
|---|
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 162 |
| 0 | 51 | 162 |
| 1 | 131 | 154 |
| 2 | 687 | 146 |
| 3 | 5937 | 146 |
| 0 | 8032 | 146 |
| 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 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) |
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(fma.f64 #s(literal -1 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
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(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal -27 binary64) y) x) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -27 binary64) y))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) z)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)) |
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 z #s(literal 2/3 binary64))) |
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64)))) |
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y))) |
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) z)) |
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 x (/.f64 #s(literal 3/2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 z y))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 (neg.f64 z) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) #s(literal 1/18 binary64))) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) #s(literal -1 binary64))) |
Compiled 27 657 to 4 280 computations (84.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 785 | 3 | 788 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 786 | 4 | 790 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
| ▶ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
| ✓ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 174 to 130 computations (25.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| cost-diff | 0 | (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 128 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 6080 | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 634 |
| 0 | 75 | 626 |
| 1 | 126 | 614 |
| 2 | 273 | 598 |
| 3 | 712 | 598 |
| 4 | 2116 | 598 |
| 5 | 2987 | 598 |
| 6 | 3513 | 598 |
| 7 | 4529 | 598 |
| 8 | 6647 | 598 |
| 9 | 7736 | 598 |
| 0 | 8016 | 594 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #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 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
x |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 1/18 binary64) |
(sqrt.f64 t) |
t |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) | |
| accuracy | 4.341668152901032 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) | |
| accuracy | 6.505542566234407 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.248378759768442 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 0.984375 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) | |
| accuracy | 2.4235223387672233 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.997965115400822 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) | |
| accuracy | 0.248378759768442 | (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) | |
| accuracy | 0.984375 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 2.4235223387672233 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.997965115400822 | (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
| 108.0ms | 256× | 0 | valid |
Compiled 1 176 to 99 computations (91.6% saved)
ival-mult: 28.0ms (37.4% of total)const: 17.0ms (22.7% of total)ival-div: 13.0ms (17.4% of total)ival-pow: 5.0ms (6.7% of total)ival-acos: 2.0ms (2.7% of total)ival-asin: 2.0ms (2.7% of total)ival-sqrt: 2.0ms (2.7% of total)ival-pow2: 2.0ms (2.7% of total)ival-pi: 1.0ms (1.3% of total)ival-add: 1.0ms (1.3% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
| Outputs |
|---|
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* (sqrt t) (/ 1 (* y z))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | 0 | ((* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) (* (* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 25.0ms | t | @ | inf | ((* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) (* (* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 12.0ms | t | @ | -inf | ((* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) (* (* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 4.0ms | y | @ | -inf | ((* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) (* (* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 4.0ms | z | @ | -inf | ((* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) (* (* (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (pow (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) -1)) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)) (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) (* (/ 1 (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2)))) 1/3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ (+ (* 1/2 (PI)) (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))) 2))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ x (* z y)) (* (/ x (* z y)) 1/18)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 409 |
| 1 | 124 | 369 |
| 2 | 387 | 360 |
| 3 | 1512 | 360 |
| 4 | 3754 | 360 |
| 5 | 5832 | 360 |
| 0 | 8170 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ x (* y z))) |
(/ x (* y z)) |
(* (sqrt t) (/ 1 (* y z))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
| Outputs |
|---|
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 1/3 binary64)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64))) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64)))) |
(acos (* 1/18 (* (sqrt t) (/ x (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 x (*.f64 y z)) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) y) z) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 1/3 binary64)) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 2 binary64))) |
(/ (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) #s(literal 2 binary64)))) |
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) |
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1/18 binary64)) z) x)) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(/.f64 (/.f64 (sqrt.f64 t) y) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 438 |
| 0 | 75 | 430 |
| 1 | 232 | 255 |
| 2 | 1464 | 243 |
| 0 | 8380 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(/.f64 x (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)))) (/.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (pow.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))) |
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(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(pow.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) (*.f64 y z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x))) (*.f64 y z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64)))) (*.f64 y z)) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 (*.f64 y z) x))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) y) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) z) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (*.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.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)) |
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x #s(literal 1/18 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 x) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/18 binary64) (/.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 #s(literal 1/18 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) #s(literal 1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x)) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) #s(literal -1 binary64))) |
Compiled 69 926 to 5 423 computations (92.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 062 | 3 | 1 065 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 1 | 1 |
| Total | 1 064 | 5 | 1 069 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
| ✓ | 98.1% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| ▶ | 99.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
| ▶ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
| ✓ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 194 to 147 computations (24.2% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) | |
| cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) | |
| cost-diff | 320 | (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))))) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 6848 | (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 587 |
| 0 | 75 | 587 |
| 1 | 126 | 537 |
| 2 | 281 | 511 |
| 3 | 773 | 511 |
| 4 | 2254 | 511 |
| 5 | 2918 | 511 |
| 6 | 3678 | 511 |
| 7 | 4971 | 511 |
| 8 | 5993 | 511 |
| 9 | 6742 | 511 |
| 0 | 8129 | 510 |
| 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(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(/.f64 x y) |
x |
y |
(sqrt.f64 t) |
t |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) |
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) |
(acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) |
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) |
x |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(/.f64 (sqrt.f64 t) z) |
(sqrt.f64 t) |
t |
z |
y |
#s(literal 1/18 binary64) |
#s(literal -1 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64)))) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) #s(literal 2 binary64)) |
(asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) |
(asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) |
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) |
(/.f64 #s(literal 1/18 binary64) z) |
#s(literal 1/18 binary64) |
z |
(/.f64 x y) |
x |
y |
(sqrt.f64 t) |
t |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t))))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)) (sqrt.f64 t)))) |
#s(literal 1/2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3671875 | (/.f64 #s(literal 1/18 binary64) z) | |
| accuracy | 0.984375 | (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) | |
| accuracy | 4.341668152901032 | (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)) | |
| accuracy | 5.561357959011094 | (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) | |
| accuracy | 0.2109375 | (/.f64 (sqrt.f64 t) z) | |
| accuracy | 0.248378759768442 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 2.4235223387672233 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.997965115400822 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) | |
| accuracy | 0.248378759768442 | (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) | |
| accuracy | 0.984375 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) | |
| accuracy | 2.4235223387672233 | (/.f64 (/.f64 (sqrt.f64 t) z) y) | |
| accuracy | 4.997965115400822 | (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
| 4.0s | 256× | 0 | valid |
Compiled 1 064 to 101 computations (90.5% saved)
ival-div: 40.0ms (41.5% of total)ival-mult: 19.0ms (19.7% of total)ival-pi: 11.0ms (11.4% of total)const: 7.0ms (7.3% of total)ival-acos: 4.0ms (4.2% of total)ival-sqrt: 4.0ms (4.2% of total)ival-pow: 4.0ms (4.2% of total)ival-asin: 2.0ms (2.1% of total)ival-pow2: 2.0ms (2.1% of total)ival-add: 1.0ms (1% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)) |
(/.f64 #s(literal 1/18 binary64) z) |
| Outputs |
|---|
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* (sqrt t) (/ x (* y z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 z)) |
(/ 1/18 z) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | z | @ | -inf | ((* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) (/ 1 (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) (pow (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) -1) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))))) (* 1/3 (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (* 1/4 (* (PI) (PI))) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (/ (sqrt t) z) (* (/ 1/18 z) (/ x y)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 1/18 z)) |
| 6.0ms | y | @ | inf | ((* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) (/ 1 (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) (pow (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) -1) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))))) (* 1/3 (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (* 1/4 (* (PI) (PI))) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (/ (sqrt t) z) (* (/ 1/18 z) (/ x y)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 1/18 z)) |
| 5.0ms | t | @ | -inf | ((* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) (/ 1 (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) (pow (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) -1) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))))) (* 1/3 (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (* 1/4 (* (PI) (PI))) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (/ (sqrt t) z) (* (/ 1/18 z) (/ x y)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 1/18 z)) |
| 4.0ms | t | @ | inf | ((* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) (/ 1 (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) (pow (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) -1) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))))) (* 1/3 (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (* 1/4 (* (PI) (PI))) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (/ (sqrt t) z) (* (/ 1/18 z) (/ x y)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 1/18 z)) |
| 4.0ms | z | @ | inf | ((* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) (/ 1 (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) (pow (* (pow (acos (* (* x (/ (/ (sqrt t) z) y)) 1/18)) -1) 3) -1) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))))) (* 1/3 (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (/ 1 (+ (* 1/2 (PI)) (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 2)) (* 1/4 (* (PI) (PI))) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (* (* x (/ (/ (sqrt t) z) y)) 1/18) (/ (sqrt t) z) (* (/ 1/18 z) (/ x y)) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 1/18 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 374 |
| 1 | 139 | 334 |
| 2 | 435 | 326 |
| 3 | 1550 | 326 |
| 4 | 3843 | 326 |
| 5 | 6168 | 326 |
| 0 | 8444 | 320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(* (sqrt t) (/ x (* y z))) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(* 1/18 (/ x (* y z))) |
(* (sqrt t) (/ 1 (* y z))) |
(* (sqrt t) (/ 1 z)) |
(/ 1/18 z) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z))) |
| Outputs |
|---|
(/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x))) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x)) #s(literal 2 binary64))) |
(* (sqrt t) (/ x (* y z))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* 1/18 (* (sqrt t) (/ x (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x) |
(* 1/18 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) |
(* (sqrt t) (/ 1 (* y z))) |
(/.f64 (/.f64 (sqrt.f64 t) y) z) |
(* (sqrt t) (/ 1 z)) |
(/.f64 (sqrt.f64 t) z) |
(/ 1/18 z) |
(/.f64 #s(literal 1/18 binary64) z) |
(/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x))) |
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64)) |
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) |
(/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)))) |
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 2 binary64))) |
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y)) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z)))) |
(/.f64 (/.f64 (sqrt.f64 t) y) z) |
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) z) x) |
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z))) |
(/.f64 (sqrt.f64 t) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 350 |
| 0 | 75 | 346 |
| 1 | 246 | 246 |
| 2 | 1560 | 234 |
| 0 | 8274 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)))))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) |
(/.f64 (/.f64 (sqrt.f64 t) z) y) |
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)) |
(/.f64 (sqrt.f64 t) z) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t)) |
(/.f64 #s(literal 1/18 binary64) z) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/2 binary64))) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(*.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) (exp.f64 (log.f64 #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -3 binary64) (neg.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (/.f64 #s(literal -3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) |
(/.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) |
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(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal 1/27 binary64) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 3/2 binary64) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) z)) |
(*.f64 (/.f64 x z) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 18 binary64))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y z)))) |
(*.f64 #s(literal -3 binary64) (/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 z)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))) |
(*.f64 (*.f64 #s(literal -1/18 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) z) #s(literal 3 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (neg.f64 z))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal 18 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 9 binary64) (/.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 #s(literal 3 binary64) z)) |
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))) |
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) |
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) z))) |
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) |
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) |
(*.f64 #s(literal 1/18 binary64) (pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 18 binary64))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 18 binary64)) y))) |
(*.f64 x (pow.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) z))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y))) z) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64))) z) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x))) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))) z) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (neg.f64 (*.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) (neg.f64 (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1/18 binary64))) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 z) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -27 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) x)) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x))) (neg.f64 (*.f64 z (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) z) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (*.f64 z #s(literal 18 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 (*.f64 y z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 z (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y))) |
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))) |
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 z #s(literal 18 binary64)) y))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64)))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y))) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 (/.f64 y x) z))) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 z (/.f64 y x)))) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z))) |
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) |
(/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64))) |
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 #s(literal -1/18 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal -1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 x) #s(literal -1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 x) #s(literal 1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x #s(literal -1/18 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 #s(literal -1/18 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 #s(literal -1/18 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z #s(literal 18 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) (*.f64 #s(literal 1/18 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 z)) #s(literal -1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 y x)) #s(literal -1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) z) #s(literal 1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) #s(literal 1/18 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) |
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 z (/.f64 y x)) #s(literal 54 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 z)))) |
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (neg.f64 z) (/.f64 y x)))) |
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z)) |
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x))) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))))) |
(/.f64 x (neg.f64 (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))) |
(/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64)))) |
(/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y)) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z x))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 t) #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64)) |
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z #s(literal 18 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/18 binary64) z)) |
(*.f64 #s(literal 1/18 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/18 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z #s(literal 18 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 18 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z #s(literal 18 binary64)))) |
(/.f64 #s(literal 1/18 binary64) z) |
(neg.f64 (/.f64 #s(literal -1/18 binary64) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/18 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 18 binary64))) #s(literal -1 binary64))) |
Compiled 76 770 to 5 696 computations (92.6% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 146 | 2 | 1 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 2 | 2 |
| Total | 1 149 | 4 | 1 153 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.1% | (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| 99.9% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) | |
| 98.4% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) | |
| ✓ | 98.3% | #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
Compiled 550 to 204 computations (62.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 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)))) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))) (sqrt.f64 t))))))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
13 calls:
| 104.0ms | (*.f64 z #s(literal 2 binary64)) |
| 57.0ms | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 4.0ms | (*.f64 y #s(literal 27 binary64)) |
| 4.0ms | (sqrt.f64 t) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | t |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 99.9% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 99.9% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 99.9% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 99.9% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 99.9% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 99.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.9% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) |
13 calls:
| 40.0ms | y |
| 36.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | (*.f64 y #s(literal 27 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
| 98.4% | 1 | t |
| 98.4% | 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)))) |
| 98.4% | 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))) |
| 98.4% | 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)) |
| 98.4% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.4% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.4% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.4% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.4% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
13 calls:
| 25.0ms | t |
| 2.0ms | (sqrt.f64 t) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| 2.0ms | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | y |
| 98.3% | 1 | z |
| 98.3% | 1 | t |
| 98.3% | 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)))) |
| 98.3% | 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))) |
| 98.3% | 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)) |
| 98.3% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.3% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.3% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.3% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.3% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
13 calls:
| 8.0ms | t |
| 1.0ms | (sqrt.f64 t) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
| 98.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))) |
| 98.1% | 1 | (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))) |
| 98.1% | 1 | (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) |
| 98.1% | 1 | (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) |
| 98.1% | 1 | (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) |
| 98.1% | 1 | (/.f64 x (*.f64 y #s(literal 27 binary64))) |
| 98.1% | 1 | (*.f64 y #s(literal 27 binary64)) |
| 98.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 98.1% | 1 | (sqrt.f64 t) |
Compiled 83 to 108 computations (-30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 120 |
| 1 | 63 | 120 |
| 2 | 138 | 120 |
| 3 | 407 | 120 |
| 4 | 1406 | 120 |
| 5 | 3083 | 120 |
| 6 | 3173 | 120 |
| 7 | 3232 | 120 |
| 8 | 3232 | 120 |
| 9 | 3684 | 120 |
| 10 | 3725 | 120 |
| 11 | 3725 | 120 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 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) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
| Outputs |
|---|
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal -1 binary64))) |
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 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) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 350 |
| 0 | 75 | 346 |
| 1 | 246 | 246 |
| 2 | 1560 | 234 |
| 0 | 8274 | 234 |
| 0 | 36 | 162 |
| 0 | 51 | 162 |
| 1 | 131 | 154 |
| 2 | 687 | 146 |
| 3 | 5937 | 146 |
| 0 | 8032 | 146 |
| 0 | 29 | 63 |
| 1 | 61 | 60 |
| 2 | 190 | 58 |
| 3 | 714 | 58 |
| 4 | 2535 | 58 |
| 5 | 4427 | 58 |
| 6 | 6197 | 58 |
| 0 | 8055 | 58 |
| 0 | 50 | 438 |
| 0 | 75 | 430 |
| 1 | 232 | 255 |
| 2 | 1464 | 243 |
| 0 | 8380 | 243 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 449 to 296 computations (34.1% saved)
Compiled 394 to 216 computations (45.2% saved)
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