
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 372.0ms | 8 256× | 0 | valid |
ival-sub: 68.0ms (36.5% of total)ival-div: 54.0ms (29% of total)ival-add: 52.0ms (27.9% of total)ival-true: 5.0ms (2.7% of total)exact: 4.0ms (2.1% of total)ival-assert: 3.0ms (1.6% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 128× | lower-*.f64 |
| 128× | lower-*.f32 |
| 110× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 21 | 14 |
| 2 | 46 | 14 |
| 3 | 100 | 14 |
| 4 | 228 | 14 |
| 5 | 477 | 14 |
| 6 | 656 | 14 |
| 7 | 689 | 14 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 17 | 7 |
| 3 | 22 | 7 |
| 4 | 29 | 7 |
| 5 | 39 | 7 |
| 6 | 55 | 7 |
| 7 | 76 | 7 |
| 8 | 106 | 7 |
| 9 | 156 | 7 |
| 10 | 196 | 7 |
| 11 | 292 | 7 |
| 12 | 469 | 7 |
| 13 | 647 | 7 |
| 0 | 647 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 512× | 0 | valid |
Compiled 50 to 24 computations (52% saved)
ival-add: 4.0ms (37.9% of total)ival-sub: 3.0ms (28.5% of total)ival-div: 3.0ms (28.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 128× | lower-*.f64 |
| 128× | lower-*.f32 |
| 106× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 13 | 15 |
| 2 | 17 | 15 |
| 3 | 22 | 15 |
| 4 | 29 | 15 |
| 5 | 39 | 15 |
| 6 | 55 | 15 |
| 7 | 76 | 15 |
| 8 | 106 | 15 |
| 9 | 156 | 15 |
| 10 | 196 | 15 |
| 11 | 292 | 15 |
| 12 | 469 | 15 |
| 13 | 647 | 15 |
| 0 | 647 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| 11.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-add: 3.0ms (52.6% of total)ival-div: 2.0ms (35% of total)ival-sub: 1.0ms (17.5% 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 binary64)) (-.f64 #s(literal 1 binary64) x))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (+ x 1) (- 1 x)) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 0.0ms | x | @ | 0 | (/ (+ x 1) (- 1 x)) |
| 0.0ms | x | @ | -inf | (/ (+ x 1) (- 1 x)) |
| 0.0ms | x | @ | -inf | (+ x 1) |
| 1× | batch-egg-rewrite |
| 2 974× | lower-/.f64 |
| 2 974× | lower-/.f32 |
| 2 752× | lower-fma.f64 |
| 2 752× | lower-fma.f32 |
| 2 188× | lower-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 41 | 13 |
| 2 | 294 | 13 |
| 3 | 4101 | 7 |
| 0 | 10014 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
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(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 10 702× | lower-fma.f64 |
| 10 702× | lower-fma.f32 |
| 2 414× | lower-*.f64 |
| 2 414× | lower-*.f32 |
| 1 974× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 165 |
| 1 | 114 | 150 |
| 2 | 255 | 150 |
| 3 | 590 | 146 |
| 4 | 1225 | 146 |
| 5 | 2794 | 146 |
| 6 | 4949 | 146 |
| 7 | 6697 | 146 |
| 8 | 7350 | 146 |
| 9 | 7545 | 146 |
| 10 | 7569 | 146 |
| 11 | 7580 | 146 |
| 12 | 7964 | 146 |
| 0 | 8165 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Compiled 14 484 to 1 046 computations (92.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 516 | 7 | 523 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 516 | 8 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| ▶ | 51.1% | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| ▶ | 51.9% | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| ▶ | 75.7% | (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| 49.5% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) | |
| ▶ | 50.7% | #s(literal 1 binary64) |
| ▶ | 47.8% | #s(literal -1 binary64) |
Compiled 104 to 67 computations (35.6% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 1216 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
| 21 870× | lower-fma.f32 |
| 21 864× | lower-fma.f64 |
| 2 910× | lower-*.f32 |
| 2 908× | lower-*.f64 |
| 1 782× | lower-+.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 22 | 58 |
| 1 | 46 | 58 |
| 2 | 81 | 58 |
| 3 | 133 | 58 |
| 4 | 196 | 58 |
| 5 | 388 | 48 |
| 6 | 910 | 46 |
| 7 | 2458 | 46 |
| 8 | 6389 | 46 |
| 0 | 8239 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+.f64 x (+.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
x |
#s(literal 1 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 76.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
| 60.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 60 to 16 computations (73.3% saved)
ival-mult: 41.0ms (81.1% of total)ival-add: 5.0ms (9.9% of total)ival-div: 3.0ms (5.9% of total)ival-sub: 1.0ms (2% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))> |
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))> |
#<alt (fma.f64 x x x)> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)> |
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt (* x (+ 2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<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)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (- 1 (* x x)) (+ x 1)) |
| 0.0ms | x | @ | inf | (/ (- 1 (* x x)) (+ x 1)) |
| 0.0ms | x | @ | 0 | (/ (- 1 (* x x)) (+ x 1)) |
| 0.0ms | x | @ | inf | (+ (* 2 x) 1) |
| 0.0ms | x | @ | inf | (+ (* 2 (+ (* x x) x)) 1) |
| 1× | batch-egg-rewrite |
| 10 324× | lower-fma.f32 |
| 10 318× | lower-fma.f64 |
| 5 060× | lower-*.f32 |
| 5 058× | lower-*.f64 |
| 4 446× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 0 | 21 | 48 |
| 1 | 107 | 36 |
| 2 | 876 | 36 |
| 0 | 8560 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) x) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (-.f64 (*.f64 (*.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 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 x (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) x) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x x) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) x)))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
| 1× | egg-herbie |
| 15 298× | lower-fma.f64 |
| 15 298× | lower-fma.f32 |
| 3 836× | lower-*.f64 |
| 3 836× | lower-*.f32 |
| 2 220× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 456 |
| 1 | 164 | 428 |
| 2 | 370 | 428 |
| 3 | 1205 | 424 |
| 4 | 3858 | 424 |
| 5 | 7027 | 424 |
| 0 | 8053 | 385 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* 2 x)) |
(+ 1 (* 2 x)) |
(* 2 x) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(* 2 x) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(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 |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x x) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(* x (+ 2 (/ 1 x))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x 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) |
Compiled 20 971 to 2 214 computations (89.4% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 933 | 0 | 933 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 933 | 8 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.8% | (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| ✓ | 51.1% | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| ✓ | 51.9% | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| ✓ | 75.7% | (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 49.5% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 50.7% | #s(literal 1 binary64) |
| ✓ | 47.8% | #s(literal -1 binary64) |
Compiled 56 to 36 computations (35.7% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
| 674× | lower-fma.f32 |
| 668× | lower-fma.f64 |
| 226× | lower-*.f64 |
| 226× | lower-*.f32 |
| 168× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 18 | 35 |
| 1 | 38 | 35 |
| 2 | 96 | 35 |
| 3 | 179 | 35 |
| 4 | 268 | 35 |
| 5 | 348 | 35 |
| 6 | 355 | 35 |
| 7 | 362 | 35 |
| 0 | 362 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x x x) |
#s(literal 1 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 37 to 15 computations (59.5% saved)
ival-add: 4.0ms (34.5% of total)ival-mult: 4.0ms (34.5% of total)ival-div: 2.0ms (17.3% 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 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))> |
#<alt (/.f64 #s(literal -2 binary64) x)> |
#<alt (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))> |
#<alt (fma.f64 x x x)> |
| Outputs |
|---|
#<alt (/ -2 x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2))))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2)))> |
#<alt 2> |
#<alt (+ 2 (* 2 x))> |
#<alt (+ 2 (* x (+ 2 (* 2 x))))> |
#<alt (+ 2 (* x (+ 2 (* 2 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ -2 x) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* 2 (+ (* x x) x)) 2)) 1) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* 2 (+ (* x x) x)) 2)) 1) |
| 0.0ms | x | @ | inf | (+ -1 (/ -2 x)) |
| 0.0ms | x | @ | inf | (/ -2 x) |
| 1× | batch-egg-rewrite |
| 9 634× | lower-fma.f32 |
| 9 628× | lower-fma.f64 |
| 4 608× | lower-*.f64 |
| 4 608× | lower-*.f32 |
| 3 388× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 0 | 18 | 29 |
| 1 | 96 | 29 |
| 2 | 772 | 29 |
| 3 | 7911 | 29 |
| 0 | 8580 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) |
(fma.f64 x x x) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x (fma.f64 x (*.f64 x x) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (neg.f64 (fma.f64 x (neg.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x)) |
(/.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))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) (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 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x))) (*.f64 x (fma.f64 x (*.f64 x x) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)))) |
(*.f64 (fma.f64 x x x) (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) |
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (fma.f64 x x x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (-.f64 x (*.f64 x 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 (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))) |
| 1× | egg-herbie |
| 18 540× | lower-fma.f64 |
| 18 540× | lower-fma.f32 |
| 3 374× | lower-*.f64 |
| 3 374× | lower-*.f32 |
| 1 460× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 347 |
| 1 | 176 | 347 |
| 2 | 492 | 326 |
| 3 | 1657 | 326 |
| 4 | 5175 | 326 |
| 0 | 8184 | 284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -1 x) 2) x) |
(/ (- (* -1 x) 2) x) |
(/ (- (* -1 x) 2) x) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2)))))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -1 x) 2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* -1 x) 2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* -1 x) 2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 3)) (/ 2 (pow x 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
Compiled 12 140 to 1 171 computations (90.4% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 0 | 425 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 425 | 8 | 433 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.8% | (fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| ✓ | 51.1% | (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| ✓ | 51.9% | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| ✓ | 75.7% | (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 49.5% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 50.7% | #s(literal 1 binary64) |
| ✓ | 47.8% | #s(literal -1 binary64) |
Compiled 105 to 55 computations (47.6% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.5% | 2 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
1 calls:
| 1.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 5 computations (37.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.8% | 1 | x |
| 47.8% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999444111144861 | 0.9999829843296077 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999444111144861 | 0.9999829843296077 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999444111144861 | 0.9999829843296077 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -0.9999444111144861 | 0.9999829843296077 |
| 4.0ms | 240× | 0 | valid |
Compiled 101 to 99 computations (2% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 75 |
| 1 | 28 | 75 |
| 2 | 31 | 75 |
| 3 | 33 | 75 |
| 4 | 34 | 75 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| 10 702× | lower-fma.f64 |
| 10 702× | lower-fma.f32 |
| 2 974× | lower-/.f64 |
| 2 974× | lower-/.f32 |
| 2 752× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 165 |
| 1 | 114 | 150 |
| 2 | 255 | 150 |
| 3 | 590 | 146 |
| 4 | 1225 | 146 |
| 5 | 2794 | 146 |
| 6 | 4949 | 146 |
| 7 | 6697 | 146 |
| 8 | 7350 | 146 |
| 9 | 7545 | 146 |
| 10 | 7569 | 146 |
| 11 | 7580 | 146 |
| 12 | 7964 | 146 |
| 0 | 8165 | 140 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 41 | 13 |
| 2 | 294 | 13 |
| 3 | 4101 | 7 |
| 0 | 10014 | 7 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 111 to 48 computations (56.8% saved)
Compiled 168 to 52 computations (69% saved)
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