
Time bar (total: 4.3s)
| 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 9 to 8 computations (11.1% saved)
| 350.0ms | 8 256× | 0 | valid |
ival-mult: 69.0ms (37.9% of total)ival-div: 59.0ms (32.4% of total)ival-sub: 39.0ms (21.4% of total)exact: 8.0ms (4.4% of total)ival-true: 5.0ms (2.7% of total)ival-assert: 3.0ms (1.6% of total)| 1× | egg-herbie |
| 40× | associate-/l* |
| 36× | distribute-lft-neg-in |
| 36× | associate-*r* |
| 32× | sub-neg |
| 30× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 31 | 14 |
| 2 | 69 | 14 |
| 3 | 166 | 14 |
| 4 | 292 | 14 |
| 5 | 371 | 14 |
| 6 | 397 | 14 |
| 7 | 405 | 14 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 16 | 7 |
| 2 | 22 | 7 |
| 3 | 24 | 7 |
| 0 | 24 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) | o/n | 1 | 0 |
| ↳ | (-.f64 (*.f64 x x) #s(literal 3 binary64)) | overflow | 64 | |
| ↳ | (*.f64 x x) | overflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-mult: 4.0ms (38.7% of total)ival-div: 3.0ms (29.1% of total)ival-sub: 2.0ms (19.4% 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 |
|---|---|---|
| ▶ | 99.6% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 8× | lower-+.f64 |
| 8× | lower-+.f32 |
| 6× | lower-fma.f64 |
| 6× | lower-/.f32 |
| 6× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 16 | 18 |
| 2 | 22 | 18 |
| 3 | 24 | 18 |
| 0 | 24 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(fma.f64 x x #s(literal -3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (38.8% of total)ival-mult: 2.0ms (38.8% of total)ival-sub: 1.0ms (19.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (*.f64 x x) #s(literal 3 binary64))> |
#<alt (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt -3> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (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 (pow x 2)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (* x x) 3) |
| 0.0ms | x | @ | 0 | (/ (- (* x x) 3) 6) |
| 0.0ms | x | @ | 0 | (- (* x x) 3) |
| 0.0ms | x | @ | inf | (/ (- (* x x) 3) 6) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 5 168× | lower-/.f32 |
| 5 166× | lower-/.f64 |
| 4 318× | lower-*.f32 |
| 4 316× | lower-*.f64 |
| 4 062× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 42 | 15 |
| 2 | 230 | 15 |
| 3 | 1831 | 15 |
| 0 | 8685 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal -3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) #s(literal 6 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)) #s(literal 27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
| 1× | egg-herbie |
| 4 388× | lower-*.f64 |
| 4 388× | lower-*.f32 |
| 2 828× | lower-fma.f64 |
| 2 828× | lower-fma.f32 |
| 1 846× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 162 |
| 1 | 43 | 162 |
| 2 | 98 | 162 |
| 3 | 235 | 162 |
| 4 | 748 | 162 |
| 5 | 1583 | 162 |
| 6 | 2320 | 162 |
| 7 | 3495 | 162 |
| 8 | 4221 | 162 |
| 9 | 5328 | 162 |
| 10 | 6382 | 162 |
| 11 | 7111 | 162 |
| 0 | 8024 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 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) |
(pow x 2) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 23 870 to 1 639 computations (93.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 6 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 547 | 6 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 68.8% | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) | |
| ▶ | 48.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| ▶ | 48.2% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ▶ | 52.3% | #s(literal -1/2 binary64) |
Compiled 104 to 68 computations (34.6% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 22× | lower-*.f32 |
| 16× | lower-*.f64 |
| 10× | *-commutative |
| 10× | lower-fma.f32 |
| 8× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 0 | 23 | 53 |
| 1 | 35 | 53 |
| 2 | 39 | 53 |
| 0 | 39 | 53 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
#s(literal 6 binary64) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
#s(literal 6 binary64) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/6 binary64)) |
| 27.0ms | 256× | 0 | valid |
Compiled 57 to 17 computations (70.2% saved)
ival-div: 5.0ms (30.4% of total)ival-mult: 5.0ms (30.4% of total)const: 4.0ms (24.3% of total)ival-add: 2.0ms (12.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))> |
#<alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))> |
#<alt (fma.f64 x x #s(literal -3 binary64))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (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 (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt -2> |
#<alt (- (* -2/3 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt -3> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x 1/6) |
| 0.0ms | x | @ | -inf | (* x 1/6) |
| 0.0ms | x | @ | 0 | (/ 6 (+ (* x x) -3)) |
| 0.0ms | x | @ | 0 | (* x 1/6) |
| 0.0ms | x | @ | inf | (/ 6 (+ (* x x) -3)) |
| 1× | batch-egg-rewrite |
| 4 024× | lower-fma.f32 |
| 4 020× | lower-fma.f64 |
| 3 726× | lower-*.f32 |
| 3 720× | lower-*.f64 |
| 2 658× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 0 | 23 | 38 |
| 1 | 86 | 38 |
| 2 | 516 | 38 |
| 3 | 6037 | 38 |
| 0 | 8020 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(fma.f64 x x #s(literal -3 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64))))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -3 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x x #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal -3 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) |
(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x x #s(literal -3 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal -3 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))) |
| 1× | egg-herbie |
| 6 490× | lower-fma.f64 |
| 6 490× | lower-fma.f32 |
| 3 366× | lower-*.f64 |
| 3 366× | lower-*.f32 |
| 1 410× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 544 |
| 1 | 115 | 544 |
| 2 | 245 | 544 |
| 3 | 514 | 544 |
| 4 | 1285 | 544 |
| 5 | 2304 | 544 |
| 6 | 3194 | 544 |
| 7 | 4707 | 544 |
| 8 | 6044 | 544 |
| 9 | 7942 | 544 |
| 0 | 8073 | 511 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (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) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
-2 |
(- (* -2/3 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
-3 |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -2/3 (pow x 2)) 2) |
(fma.f64 (*.f64 x x) #s(literal -2/3 binary64) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
-3 |
#s(literal -3 binary64) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
Compiled 16 203 to 1 256 computations (92.2% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 4 | 786 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 784 | 8 | 792 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 48.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 48.6% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ▶ | 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | 48.2% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ▶ | 48.6% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 52.3% | #s(literal -1/2 binary64) |
Compiled 48 to 34 computations (29.2% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 768 | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 30× | lower-*.f32 |
| 24× | lower-*.f64 |
| 20× | lower-/.f32 |
| 14× | associate-*r* |
| 12× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 0 | 24 | 48 |
| 1 | 35 | 48 |
| 2 | 38 | 48 |
| 3 | 40 | 48 |
| 4 | 43 | 48 |
| 5 | 62 | 48 |
| 0 | 62 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
#s(literal 6 binary64) |
(*.f64 x x) |
x |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
x |
(/.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(/.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
#s(literal 6 binary64) |
(*.f64 x x) |
x |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
x |
(/.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(/.f64 x #s(literal 6 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal -1/2 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/6 binary64)) |
| 29.0ms | 256× | 0 | valid |
Compiled 52 to 17 computations (67.3% saved)
ival-div: 7.0ms (38.1% of total)ival-mult: 6.0ms (32.6% of total)const: 4.0ms (21.8% of total)ival-add: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 6 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 x (/.f64 #s(literal 6 binary64) x))> |
#<alt (/.f64 #s(literal 6 binary64) x)> |
#<alt (/.f64 x #s(literal 6 binary64))> |
#<alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (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 (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 6 (* x x)) |
| 0.0ms | x | @ | 0 | (/ 6 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 6 x) |
| 0.0ms | x | @ | inf | (/ 6 x) |
| 0.0ms | x | @ | 0 | (/ 6 x) |
| 1× | batch-egg-rewrite |
| 3 016× | lower-fma.f32 |
| 3 014× | lower-fma.f64 |
| 2 748× | lower-*.f32 |
| 2 742× | lower-*.f64 |
| 1 556× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 0 | 24 | 38 |
| 1 | 79 | 38 |
| 2 | 506 | 38 |
| 3 | 6118 | 38 |
| 0 | 8822 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 6 binary64) x) |
(/.f64 x #s(literal 6 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(neg.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (*.f64 x x) #s(literal -6 binary64)) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal 6 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64)) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64)) |
(/.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 6 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) #s(literal -6 binary64)) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (neg.f64 x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(neg.f64 (*.f64 x #s(literal 1/6 binary64))) |
(/.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal -6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal 6 binary64)) |
(/.f64 (neg.f64 x) #s(literal -6 binary64)) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 1/6 binary64) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1/6 binary64)) |
(*.f64 (neg.f64 x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 #s(literal -1/6 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(neg.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (*.f64 x x) #s(literal -6 binary64)) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal 6 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64)) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) |
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal -6 binary64)) |
(/.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 6 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) #s(literal -6 binary64)) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (neg.f64 x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 #s(literal 6 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 6 binary64) x) x) |
(/.f64 (/.f64 #s(literal 6 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -6 binary64) (*.f64 x x)) |
(/.f64 #s(literal -6 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
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(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 3 402× | lower-*.f64 |
| 3 402× | lower-*.f32 |
| 2 710× | lower-fma.f64 |
| 2 710× | lower-fma.f32 |
| 1 526× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 458 |
| 1 | 32 | 458 |
| 2 | 62 | 458 |
| 3 | 136 | 458 |
| 4 | 381 | 458 |
| 5 | 716 | 458 |
| 6 | 1176 | 458 |
| 7 | 2199 | 458 |
| 8 | 3684 | 458 |
| 9 | 4767 | 458 |
| 10 | 5742 | 458 |
| 11 | 6907 | 458 |
| 0 | 8040 | 449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (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) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
Compiled 6 270 to 732 computations (88.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 1 | 612 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 612 | 8 | 620 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 48.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | 48.6% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ▶ | 48.6% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | 48.2% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | 48.6% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 52.3% | #s(literal -1/2 binary64) |
Compiled 47 to 33 computations (29.8% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| 6× | lower-*.f32 |
| 4× | lower-*.f64 |
| 4× | lower-/.f32 |
| 2× | *-commutative |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 9 | 10 |
| 0 | 9 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| 20.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (52.9% of total)ival-mult: 1.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 x #s(literal 6 binary64)) x)> |
#<alt (/.f64 x #s(literal 6 binary64))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* (/ x 6) x) |
| 0.0ms | x | @ | inf | (* (/ x 6) x) |
| 0.0ms | x | @ | -inf | (* (/ x 6) x) |
| 0.0ms | x | @ | -inf | (/ x 6) |
| 0.0ms | x | @ | inf | (/ x 6) |
| 1× | batch-egg-rewrite |
| 3 048× | lower-fma.f64 |
| 3 048× | lower-fma.f32 |
| 2 836× | lower-*.f32 |
| 2 834× | lower-*.f64 |
| 2 542× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 19 | 8 |
| 2 | 61 | 8 |
| 3 | 223 | 8 |
| 4 | 1015 | 8 |
| 5 | 6904 | 8 |
| 0 | 9082 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x #s(literal 6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 x (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x #s(literal -1/6 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 x (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 (neg.f64 x) (*.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 6 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 6 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))) (/.f64 #s(literal 6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x)) #s(literal 0 binary64)) |
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 6 binary64) x) x)) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -6 binary64) x) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64)) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 6 binary64) x) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x #s(literal -6 binary64))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 #s(literal -6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 #s(literal 6 binary64) (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 #s(literal -6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) #s(literal -6 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) (/.f64 #s(literal -6 binary64) x)) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -6 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -6 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 x (neg.f64 x)))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
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(*.f64 (pow.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) x) |
(*.f64 (*.f64 (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -6 binary64) #s(literal -1/2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 6 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) (*.f64 x (neg.f64 x))) |
| 1× | egg-herbie |
| 14× | lower-*.f64 |
| 14× | lower-*.f32 |
| 4× | *-commutative |
| 2× | lower-pow.f64 |
| 2× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 96 |
| 1 | 9 | 96 |
| 2 | 11 | 96 |
| 0 | 11 | 96 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
Compiled 5 682 to 922 computations (83.8% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 0 | 446 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 446 | 8 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 48.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | 48.6% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | 48.6% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | 48.2% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | 48.6% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 52.3% | #s(literal -1/2 binary64) |
Compiled 129 to 66 computations (48.8% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
4 calls:
| 4.0ms | x |
| 4.0ms | (*.f64 x x) |
| 3.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 3.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
4 calls:
| 8.0ms | (*.f64 x x) |
| 3.0ms | x |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
4 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
| 99.1% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.1% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.1% | 2 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
4 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | x |
| 52.3% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 52.3% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 52.3% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1271399816534954e-5 | 112146.46123499976 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 15 | 25 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
#s(literal -1/2 binary64) |
| 5 168× | lower-/.f32 |
| 5 166× | lower-/.f64 |
| 4 388× | lower-*.f64 |
| 4 388× | lower-*.f32 |
| 4 318× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 42 | 15 |
| 2 | 230 | 15 |
| 3 | 1831 | 15 |
| 0 | 8685 | 13 |
| 0 | 19 | 162 |
| 1 | 43 | 162 |
| 2 | 98 | 162 |
| 3 | 235 | 162 |
| 4 | 748 | 162 |
| 5 | 1583 | 162 |
| 6 | 2320 | 162 |
| 7 | 3495 | 162 |
| 8 | 4221 | 162 |
| 9 | 5328 | 162 |
| 10 | 6382 | 162 |
| 11 | 7111 | 162 |
| 0 | 8024 | 144 |
| 0 | 14 | 40 |
| 0 | 23 | 38 |
| 1 | 86 | 38 |
| 2 | 516 | 38 |
| 3 | 6037 | 38 |
| 0 | 8020 | 38 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 63 to 40 computations (36.5% saved)
(abs x)
Compiled 82 to 48 computations (41.5% saved)
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