
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 360.0ms | 8 256× | 0 | valid |
ival-sub: 142.0ms (60.8% of total)ival-div: 77.0ms (33% of total)exact: 7.0ms (3% of total)ival-true: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 74.0ms | 512× | 0 | valid |
Compiled 42 to 24 computations (42.9% saved)
ival-div: 61.0ms (95.4% of total)ival-sub: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 18 | 9 |
| 2 | 39 | 6 |
| 3 | 63 | 6 |
| 4 | 96 | 6 |
| 5 | 104 | 6 |
| 6 | 106 | 6 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 13 | 3 |
| 2 | 14 | 3 |
| 0 | 14 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 14 | 7 |
| 0 | 14 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.015625 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 8.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-div: 2.0ms (56.4% of total)ival-sub: 1.0ms (28.2% 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 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | -inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | 0 | ((/ 1 3) (- x (/ 1 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 11 |
| 1 | 32 | 11 |
| 2 | 75 | 11 |
| 3 | 158 | 11 |
| 4 | 412 | 11 |
| 5 | 523 | 11 |
| 6 | 576 | 11 |
| 7 | 599 | 11 |
| 8 | 601 | 11 |
| 0 | 601 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 27 | 4 |
| 2 | 129 | 4 |
| 3 | 979 | 4 |
| 0 | 8557 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 8 075 to 763 computations (90.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 4 | 315 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 312 | 4 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 72.7% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 51.8% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 81 |
| 0 | 30 | 81 |
| 1 | 45 | 81 |
| 2 | 56 | 80 |
| 3 | 66 | 80 |
| 4 | 72 | 80 |
| 0 | 72 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 x (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) | |
| accuracy | 0.09375 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 17.50695138552817 | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 17.666661169638076 | (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 17.47960763552817 | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.015625 | (-.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 30.83396283698716 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| 52.0ms | 242× | 0 | valid |
| 3.0ms | 6× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 174 to 43 computations (75.3% saved)
const: 15.0ms (35.2% of total)ival-div: 10.0ms (23.5% of total)ival-sub: 7.0ms (16.4% of total)ival-mult: 5.0ms (11.7% of total)ival-add: 3.0ms (7% of total)adjust: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((- x (/ 1 3)) (- x 1/3) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 2.0ms | x | @ | inf | ((- x (/ 1 3)) (- x 1/3) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 2.0ms | x | @ | -inf | ((- x (/ 1 3)) (- x 1/3) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 294 |
| 1 | 362 | 290 |
| 2 | 883 | 286 |
| 3 | 2609 | 282 |
| 4 | 6843 | 282 |
| 0 | 8056 | 268 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(/ -1/27 (pow x 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 68 |
| 0 | 30 | 63 |
| 1 | 124 | 62 |
| 2 | 916 | 62 |
| 0 | 8487 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
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(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) #s(literal -1/9 binary64))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(fma.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
Compiled 22 541 to 2 049 computations (90.9% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 738 | 2 | 740 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 739 | 5 | 744 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.8% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 72.7% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 72.6% | (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 51.8% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 54 to 43 computations (20.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) | |
| cost-diff | 448 | (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 94 |
| 0 | 34 | 94 |
| 1 | 53 | 94 |
| 2 | 77 | 93 |
| 3 | 129 | 93 |
| 4 | 223 | 92 |
| 5 | 330 | 92 |
| 6 | 633 | 92 |
| 7 | 1045 | 92 |
| 8 | 1717 | 92 |
| 9 | 1983 | 92 |
| 10 | 2090 | 92 |
| 11 | 2181 | 92 |
| 12 | 2197 | 92 |
| 13 | 2197 | 92 |
| 0 | 2197 | 91 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(neg.f64 x) |
x |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(neg.f64 x) |
x |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) | |
| accuracy | 0.09375 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 17.50695138552817 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 30.796852578728696 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 0.00390625 | (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 17.51867013552817 | (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| 43.0ms | 242× | 0 | valid |
| 3.0ms | 6× | 2 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 192 to 45 computations (76.6% saved)
ival-mult: 12.0ms (32.3% of total)const: 10.0ms (26.9% of total)ival-add: 6.0ms (16.2% of total)ival-div: 5.0ms (13.5% of total)adjust: 1.0ms (2.7% of total)ival-sub: 1.0ms (2.7% of total)ival-neg: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(-.f64 x #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
1/9 |
(+ 1/9 (* -1 (pow x 2))) |
(* -1 x) |
-3 |
(- (* 9 x) 3) |
(- (* x (+ 9 (* -27 x))) 3) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/3 |
(+ 1/3 x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(/ -1 x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (neg x) (/ -1 (- x -1/3)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9)) |
| 2.0ms | x | @ | -inf | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (neg x) (/ -1 (- x -1/3)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9)) |
| 2.0ms | x | @ | inf | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (neg x) (/ -1 (- x -1/3)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 409 |
| 1 | 476 | 395 |
| 2 | 1142 | 391 |
| 3 | 3266 | 386 |
| 0 | 8242 | 368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
1/9 |
(+ 1/9 (* -1 (pow x 2))) |
(* -1 x) |
-3 |
(- (* 9 x) 3) |
(- (* x (+ 9 (* -27 x))) 3) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/3 |
(+ 1/3 x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(/ -1 x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(* -1 x) |
(neg.f64 x) |
-3 |
#s(literal -3 binary64) |
(- (* 9 x) 3) |
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) |
(- (* x (+ 9 (* -27 x))) 3) |
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x #s(literal -3 binary64)) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal -27 binary64)) x #s(literal 9 binary64)) x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ -1/27 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 82 |
| 0 | 34 | 82 |
| 1 | 123 | 81 |
| 2 | 865 | 74 |
| 0 | 8438 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(-.f64 x #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/3 binary64) x)) (pow.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) x) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 9 binary64)) #s(literal 1/387420489 binary64)) (pow.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 6 binary64)) #s(literal 1/531441 binary64)) (*.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 1/9 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) x) #s(literal 1/9 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) x) #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64))) |
(+.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x)) #s(literal 1/9 binary64)) |
(+.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(+.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
Compiled 20 100 to 2 003 computations (90% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 2 | 664 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 3 | 3 |
| Total | 664 | 5 | 669 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.7% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 72.7% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 51.3% | (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 51.8% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 59 to 46 computations (22% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) | |
| cost-diff | 320 | (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 108 |
| 0 | 35 | 108 |
| 1 | 55 | 106 |
| 2 | 71 | 105 |
| 3 | 94 | 105 |
| 4 | 114 | 105 |
| 5 | 132 | 105 |
| 6 | 189 | 104 |
| 7 | 254 | 104 |
| 8 | 311 | 104 |
| 9 | 341 | 104 |
| 10 | 410 | 104 |
| 11 | 510 | 104 |
| 12 | 670 | 104 |
| 13 | 1035 | 104 |
| 14 | 1304 | 104 |
| 15 | 1488 | 104 |
| 16 | 1728 | 104 |
| 17 | 1791 | 104 |
| 18 | 1828 | 104 |
| 19 | 1838 | 104 |
| 0 | 1838 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
#s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 17.50695138552817 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 30.796852578728696 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 30.934783392109868 | #s(approx (- x -1/3) #s(literal 1/3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 17.51867013552817 | (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 31.37112842184849 | #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) |
| 45.0ms | 242× | 0 | valid |
| 3.0ms | 6× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 202 to 50 computations (75.2% saved)
const: 14.0ms (35.5% of total)ival-mult: 12.0ms (30.4% of total)ival-div: 6.0ms (15.2% of total)ival-add: 3.0ms (7.6% of total)adjust: 1.0ms (2.5% of total)ival-sub: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
1/9 |
(+ 1/9 (* -1 (pow x 2))) |
-3 |
(- (* 9 x) 3) |
(- (* x (+ 9 (* -27 x))) 3) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
1/3 |
(+ 1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(/ -1 x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3)) (- x -1/3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1.0ms | x | @ | inf | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3)) (- x -1/3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1.0ms | x | @ | 0 | ((* (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3))) (+ (* (neg x) x) 1/9) (/ -1 (- x -1/3)) (- x -1/3) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 380 |
| 1 | 445 | 366 |
| 2 | 1068 | 366 |
| 3 | 3003 | 358 |
| 4 | 7590 | 358 |
| 0 | 8175 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
1/9 |
(+ 1/9 (* -1 (pow x 2))) |
-3 |
(- (* 9 x) 3) |
(- (* x (+ 9 (* -27 x))) 3) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
1/3 |
(+ 1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(/ -1 x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1 (pow x 2))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
-3 |
#s(literal -3 binary64) |
(- (* 9 x) 3) |
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) |
(- (* x (+ 9 (* -27 x))) 3) |
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x #s(literal -3 binary64)) |
(- (* x (+ 9 (* x (- (* 81 x) 27)))) 3) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal -27 binary64)) x #s(literal 9 binary64)) x #s(literal -3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/3 (/ 1 x)) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (* 1/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (/ 1/9 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ -1/27 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 91 |
| 0 | 35 | 91 |
| 1 | 137 | 88 |
| 2 | 952 | 87 |
| 0 | 8449 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
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(+.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64)))) (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) |
Compiled 11 855 to 987 computations (91.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 1 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 324 | 6 | 330 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.7% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 72.7% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| 99.4% | (*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) #s(approx (/ -1 (- x -1/3)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) | |
| ✓ | 51.8% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 217 to 116 computations (46.5% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) #s(approx (/ -1 (- x -1/3)) (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (neg x) x) 1/9) #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | x |
| 51.8% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 8 |
| 1 | 14 | 8 |
| 2 | 18 | 8 |
| 3 | 20 | 8 |
| 4 | 21 | 8 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 27 | 4 |
| 2 | 129 | 4 |
| 3 | 979 | 4 |
| 0 | 8557 | 4 |
| 0 | 13 | 11 |
| 1 | 32 | 11 |
| 2 | 75 | 11 |
| 3 | 158 | 11 |
| 4 | 412 | 11 |
| 5 | 523 | 11 |
| 6 | 576 | 11 |
| 7 | 599 | 11 |
| 8 | 601 | 11 |
| 0 | 601 | 11 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 19 to 18 computations (5.3% saved)
Compiled 30 to 28 computations (6.7% saved)
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