
Time bar (total: 5.7s)
| 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)
| 284.0ms | 8 256× | 0 | valid |
ival-div: 100.0ms (66% of total)ival-sub: 36.0ms (23.8% of total)exact: 7.0ms (4.6% of total)ival-true: 5.0ms (3.3% of total)ival-assert: 3.0ms (2% of total)| 2× | egg-herbie |
| 26× | sub-neg |
| 24× | distribute-lft-neg-in |
| 16× | cancel-sign-sub-inv |
| 12× | associate-+l- |
| 12× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 20 | 12 |
| 2 | 42 | 9 |
| 3 | 68 | 9 |
| 4 | 107 | 9 |
| 5 | 124 | 9 |
| 6 | 132 | 9 |
| 7 | 138 | 9 |
| 8 | 143 | 9 |
| 9 | 145 | 9 |
| 0 | 6 | 3 |
| 1 | 11 | 3 |
| 2 | 12 | 3 |
| 0 | 12 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (/ 1 3)) |
| Outputs |
|---|
(- x (/ 1 3)) |
(+.f64 x #s(literal -1/3 binary64)) |
| Inputs |
|---|
(- x (/ 1 3)) |
(- (neg x) (/ 1 3)) |
(neg (- (neg x) (/ 1 3))) |
| Outputs |
|---|
(- x (/ 1 3)) |
(+ x -1/3) |
(- (neg x) (/ 1 3)) |
(- -1/3 x) |
(neg (- (neg x) (/ 1 3))) |
(+ x 1/3) |
| 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 38 to 24 computations (36.8% saved)
ival-div: 4.0ms (52.8% of total)ival-sub: 2.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 5 computations (16.7% 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)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | 1-exp |
| 2× | --lowering--.f32 |
| 2× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 12 | 7 |
| 0 | 12 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ 1 3)) |
x |
(/ 1 3) |
1 |
3 |
| Outputs |
|---|
(- x (/ 1 3)) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(/ 1 3) |
#s(literal 1/3 binary64) |
1 |
#s(literal 1 binary64) |
3 |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 13.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (51.3% of total)ival-sub: 1.0ms (25.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 3)> |
#<alt (- x (/ 1 3))> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt x> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- x (/ 1 3)) |
| 0.0ms | x | @ | 0 | (- x (/ 1 3)) |
| 0.0ms | x | @ | -inf | (- x (/ 1 3)) |
| 1× | batch-egg-rewrite |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 25 | 4 |
| 2 | 127 | 4 |
| 3 | 973 | 4 |
| 0 | 8520 | 4 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 3) |
(- x (/ 1 3)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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)))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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))))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.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 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))))) |
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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)))) (/.f64 #s(literal 1 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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #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 #s(literal -1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #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 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 #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)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 #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)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #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)) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #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 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) |
| 1× | egg-herbie |
| 192× | accelerator-lowering-fma.f32 |
| 192× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 96× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 32 | 30 |
| 2 | 75 | 30 |
| 3 | 158 | 30 |
| 4 | 412 | 30 |
| 5 | 523 | 30 |
| 6 | 576 | 30 |
| 7 | 599 | 30 |
| 8 | 601 | 30 |
| 0 | 601 | 30 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- x 1/3) |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -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 1/3) |
(+.f64 x #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)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 10 454 to 758 computations (92.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 4 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 322 | 4 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.0% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 48.5% | x |
| ▶ | 53.1% | #s(literal -1/3 binary64) |
Compiled 22 to 15 computations (31.8% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) |
| 36× | +-lowering-+.f64 |
| 36× | +-lowering-+.f32 |
| 26× | accelerator-lowering-fma.f32 |
| 26× | accelerator-lowering-fma.f64 |
| 16× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 26 | 42 |
| 2 | 36 | 42 |
| 3 | 42 | 42 |
| 0 | 42 | 40 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
x |
(- x 1/3) |
x |
1/3 |
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
(+ (* x (* x x)) -1/27) |
x |
(* x x) |
-1/27 |
(+ (* x (+ 1/3 x)) 1/9) |
(+ 1/3 x) |
1/3 |
1/9 |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
x |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
1/3 |
#s(literal 1/3 binary64) |
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(+ (* x (* x x)) -1/27) |
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) |
x |
(* x x) |
(*.f64 x x) |
-1/27 |
#s(literal -1/27 binary64) |
(+ (* x (+ 1/3 x)) 1/9) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
1/9 |
#s(literal 1/9 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) |
| ✓ | accuracy | 70.5% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| 33.0ms | 256× | 0 | valid |
Compiled 44 to 15 computations (65.9% saved)
const: 11.0ms (46.3% of total)ival-add: 5.0ms (21% of total)ival-mult: 4.0ms (16.8% of total)ival-div: 2.0ms (8.4% of total)ival-sub: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x 1/3)> |
#<alt (/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))> |
#<alt (+ (* x (* x x)) -1/27)> |
#<alt (* x x)> |
#<alt (+ (* x (+ 1/3 x)) 1/9)> |
#<alt (+ 1/3 x)> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt x> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt x> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt -1/27> |
#<alt (- (pow x 3) 1/27)> |
#<alt (- (pow x 3) 1/27)> |
#<alt (- (pow x 3) 1/27)> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/9> |
#<alt (+ 1/9 (* 1/3 x))> |
#<alt (+ 1/9 (* x (+ 1/3 x)))> |
#<alt (+ 1/9 (* x (+ 1/3 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt 1/3> |
#<alt (+ 1/3 x)> |
#<alt (+ 1/3 x)> |
#<alt (+ 1/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
| 1.0ms | x | @ | -inf | (/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
| 0.0ms | x | @ | inf | (+ (* x (* x x)) -1/27) |
| 0.0ms | x | @ | 0 | (* x x) |
| 1× | batch-egg-rewrite |
| 4 844× | accelerator-lowering-fma.f32 |
| 4 844× | accelerator-lowering-fma.f64 |
| 4 594× | *-lowering-*.f32 |
| 4 594× | *-lowering-*.f64 |
| 3 910× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 80 | 24 |
| 2 | 613 | 24 |
| 3 | 7606 | 24 |
| 0 | 8074 | 23 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x 1/3) |
(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9)) |
(+ (* x (* x x)) -1/27) |
(* x x) |
(+ (* x (+ 1/3 x)) 1/9) |
(+ 1/3 x) |
| Outputs |
|---|
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 #s(literal -1/3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 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)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x 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 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 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #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) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #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)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64)) |
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.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 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #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))) (neg.f64 (/.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) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.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 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
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(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 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 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.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)) #s(literal 1 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 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 #s(literal 1/9 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 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 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 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)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (-.f64 (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 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #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 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (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)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/19683 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/19683 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) |
| 1× | egg-herbie |
| 4 890× | accelerator-lowering-fma.f32 |
| 4 890× | accelerator-lowering-fma.f64 |
| 2 784× | *-lowering-*.f32 |
| 2 784× | *-lowering-*.f64 |
| 1 584× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 250 |
| 1 | 109 | 250 |
| 2 | 283 | 242 |
| 3 | 833 | 242 |
| 4 | 2363 | 242 |
| 5 | 5479 | 242 |
| 0 | 8113 | 235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- x 1/3) |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
-1/3 |
(- x 1/3) |
(- x 1/3) |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
-1/27 |
(- (pow x 3) 1/27) |
(- (pow x 3) 1/27) |
(- (pow x 3) 1/27) |
(pow x 3) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(+ 1/9 (* x (+ 1/3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
1/3 |
(+ 1/3 x) |
(+ 1/3 x) |
(+ 1/3 x) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #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)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #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)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
-1/27 |
#s(literal -1/27 binary64) |
(- (pow x 3) 1/27) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(- (pow x 3) 1/27) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(- (pow x 3) 1/27) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/27 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
Compiled 30 152 to 1 633 computations (94.6% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 931 | 1 | 932 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 931 | 5 | 936 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.0% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ▶ | 53.7% | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 48.5% | x |
| ✓ | 53.1% | #s(literal -1/3 binary64) |
Compiled 31 to 22 computations (29% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| 28× | +-lowering-+.f64 |
| 28× | +-lowering-+.f32 |
| 22× | accelerator-lowering-fma.f32 |
| 22× | accelerator-lowering-fma.f64 |
| 12× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 16 | 23 |
| 2 | 25 | 23 |
| 3 | 31 | 23 |
| 0 | 31 | 21 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
-1/27 |
(+ (* x (+ 1/3 x)) 1/9) |
x |
(+ 1/3 x) |
1/3 |
1/9 |
| Outputs |
|---|
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
-1/27 |
#s(literal -1/27 binary64) |
(+ (* x (+ 1/3 x)) 1/9) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
x |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
1/9 |
#s(literal 1/9 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| 27.0ms | 256× | 0 | valid |
Compiled 23 to 10 computations (56.5% saved)
const: 15.0ms (71.2% of total)ival-add: 3.0ms (14.2% of total)ival-div: 2.0ms (9.5% of total)ival-mult: 2.0ms (9.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ -1/27 (+ (* x (+ 1/3 x)) 1/9))> |
#<alt (+ (* x (+ 1/3 x)) 1/9)> |
#<alt (+ 1/3 x)> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3)> |
#<alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)> |
#<alt (/ -1/27 (pow x 2))> |
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))> |
#<alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))> |
#<alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))> |
#<alt (/ -1/27 (pow x 2))> |
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))> |
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))> |
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))> |
#<alt 1/9> |
#<alt (+ 1/9 (* 1/3 x))> |
#<alt (+ 1/9 (* x (+ 1/3 x)))> |
#<alt (+ 1/9 (* x (+ 1/3 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))> |
#<alt 1/3> |
#<alt (+ 1/3 x)> |
#<alt (+ 1/3 x)> |
#<alt (+ 1/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
| 0.0ms | x | @ | inf | (/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
| 0.0ms | x | @ | 0 | (/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
| 0.0ms | x | @ | 0 | (+ (* x (+ 1/3 x)) 1/9) |
| 0.0ms | x | @ | inf | (+ (* x (+ 1/3 x)) 1/9) |
| 1× | batch-egg-rewrite |
| 4 668× | accelerator-lowering-fma.f32 |
| 4 668× | accelerator-lowering-fma.f64 |
| 4 178× | *-lowering-*.f32 |
| 4 178× | *-lowering-*.f64 |
| 3 088× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 50 | 19 |
| 2 | 364 | 19 |
| 3 | 3993 | 19 |
| 0 | 8244 | 17 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/27 (+ (* x (+ 1/3 x)) 1/9)) |
(+ (* x (+ 1/3 x)) 1/9) |
(+ 1/3 x) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.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 (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))))) |
(fma.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (*.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))))) |
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(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/387420489 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/531441 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal -1/531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/729 binary64)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 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 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 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 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.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 #s(literal 1/3 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.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 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))) |
| 1× | egg-herbie |
| 16 212× | accelerator-lowering-fma.f32 |
| 16 212× | accelerator-lowering-fma.f64 |
| 2 898× | *-lowering-*.f32 |
| 2 898× | *-lowering-*.f64 |
| 2 636× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 186 | 228 |
| 2 | 456 | 220 |
| 3 | 1268 | 220 |
| 4 | 3722 | 220 |
| 5 | 7834 | 220 |
| 0 | 8495 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(/ -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)) |
(/ -1/27 (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* -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)) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(+ 1/9 (* x (+ 1/3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
1/3 |
(+ 1/3 x) |
(+ 1/3 x) |
(+ 1/3 x) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 x (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1/3 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 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.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 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x)))) x)) (*.f64 x x)) |
(/ -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 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) x)) (*.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 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x x)))) x)) (*.f64 x x)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+ 1/3 x) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal 1/3 binary64)) |
Compiled 8 985 to 966 computations (89.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 1 | 309 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 309 | 5 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.0% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ▶ | 53.1% | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 48.5% | x |
| ✓ | 53.1% | #s(literal -1/3 binary64) |
Compiled 29 to 21 computations (27.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
| 4× | +-lowering-+.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 4× | +-lowering-+.f32 |
| 4× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 9 | 16 |
| 0 | 9 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ -1/27 (+ (* x 1/3) 1/9)) |
-1/27 |
(+ (* x 1/3) 1/9) |
x |
1/3 |
1/9 |
| Outputs |
|---|
(/ -1/27 (+ (* x 1/3) 1/9)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
-1/27 |
#s(literal -1/27 binary64) |
(+ (* x 1/3) 1/9) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
x |
1/3 |
#s(literal 1/3 binary64) |
1/9 |
#s(literal 1/9 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
| 19.0ms | 256× | 0 | valid |
Compiled 16 to 9 computations (43.8% saved)
const: 9.0ms (68.2% of total)ival-div: 2.0ms (15.1% of total)ival-mult: 2.0ms (15.1% of total)ival-add: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ -1/27 (+ (* x 1/3) 1/9))> |
#<alt (+ (* x 1/3) 1/9)> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- (* x (+ 1 (* -3 x))) 1/3)> |
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)> |
#<alt (/ -1/9 x)> |
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)> |
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)> |
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))> |
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))> |
#<alt 1/9> |
#<alt (+ 1/9 (* 1/3 x))> |
#<alt (+ 1/9 (* 1/3 x))> |
#<alt (+ 1/9 (* 1/3 x))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ -1/27 (+ (* x 1/3) 1/9)) |
| 0.0ms | x | @ | inf | (/ -1/27 (+ (* x 1/3) 1/9)) |
| 0.0ms | x | @ | -inf | (/ -1/27 (+ (* x 1/3) 1/9)) |
| 0.0ms | x | @ | 0 | (+ (* x 1/3) 1/9) |
| 0.0ms | x | @ | inf | (+ (* x 1/3) 1/9) |
| 1× | batch-egg-rewrite |
| 5 602× | /-lowering-/.f32 |
| 5 602× | /-lowering-/.f64 |
| 5 498× | accelerator-lowering-fma.f32 |
| 5 498× | accelerator-lowering-fma.f64 |
| 4 128× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 33 | 12 |
| 2 | 203 | 12 |
| 3 | 1721 | 12 |
| 0 | 8523 | 10 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/27 (+ (* x 1/3) 1/9)) |
(+ (* x 1/3) 1/9) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -27 binary64))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) #s(literal -27 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))) |
(fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))) #s(literal -1/9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.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 1/9 binary64)) #s(literal -1/81 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))) (*.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))) (*.f64 #s(literal -1/27 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.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 1/9 binary64)) #s(literal -1/81 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64)))) (*.f64 #s(literal -1/27 binary64) (fma.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x) #s(literal -1/729 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)))))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (*.f64 x #s(literal 1/27 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/19683 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/387420489 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/531441 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/19683 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/531441 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/729 binary64) (*.f64 x x) #s(literal 1/6561 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (fma.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6561 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/81 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
| 1× | egg-herbie |
| 12 788× | accelerator-lowering-fma.f32 |
| 12 788× | accelerator-lowering-fma.f64 |
| 2 168× | +-lowering-+.f64 |
| 2 168× | +-lowering-+.f32 |
| 2 164× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 162 |
| 1 | 189 | 154 |
| 2 | 405 | 154 |
| 3 | 977 | 150 |
| 4 | 2313 | 150 |
| 5 | 4335 | 150 |
| 6 | 5490 | 150 |
| 7 | 6267 | 150 |
| 8 | 6713 | 150 |
| 9 | 6826 | 150 |
| 10 | 6861 | 150 |
| 11 | 7315 | 150 |
| 12 | 7404 | 150 |
| 13 | 7432 | 150 |
| 14 | 7442 | 150 |
| 15 | 7442 | 150 |
| 0 | 8014 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- (* x (+ 1 (* -3 x))) 1/3) |
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3) |
(/ -1/9 x) |
(/ (- (* 1/27 (/ 1 x)) 1/9) x) |
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x) |
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x) |
(/ -1/9 x) |
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) |
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x)) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- (* x (+ 1 (* -3 x))) 1/3) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- (* 1/27 (/ 1 x)) 1/9) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) |
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x) |
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) |
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x) |
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* 1/3 x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* 1/3 x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
Compiled 13 037 to 1 353 computations (89.6% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 0 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 412 | 5 | 417 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.0% | (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| ✓ | 53.1% | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 48.5% | x |
| ✓ | 53.1% | #s(literal -1/3 binary64) |
Compiled 67 to 39 computations (41.8% saved)
| Inputs |
|---|
#s(literal -1/3 binary64) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 5.0ms | 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 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal -1/3 binary64) |
x |
| Outputs |
|---|
x |
#s(literal -1/3 binary64) |
x |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 98.0% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1/3 binary64) |
| Outputs |
|---|
#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 |
|---|---|---|
| 53.1% | 1 | x |
| 53.1% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 8 to 6 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.31012402914708576 | 35433.45588440925 |
| 0.0ms | -1063940413.0548807 | -0.33333333381509556 |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
| 22× | unsub-neg_binary64 |
| 22× | neg-mul-1_binary64 |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 23 |
| 1 | 24 | 23 |
| 2 | 35 | 23 |
| 3 | 43 | 23 |
| 4 | 51 | 23 |
| 5 | 67 | 23 |
| 6 | 91 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x)) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x)) |
(if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x)) |
#s(literal -1/3 binary64) |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 32 | 30 |
| 2 | 75 | 30 |
| 3 | 158 | 30 |
| 4 | 412 | 30 |
| 5 | 523 | 30 |
| 6 | 576 | 30 |
| 7 | 599 | 30 |
| 8 | 601 | 30 |
| 0 | 601 | 30 |
| 0 | 6 | 4 |
| 1 | 25 | 4 |
| 2 | 127 | 4 |
| 3 | 973 | 4 |
| 0 | 8520 | 4 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 34 to 22 computations (35.3% saved)
Compiled 60 to 38 computations (36.7% saved)
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