Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 340.0ms | 7 676× | 0 | valid |
| 30.0ms | 280× | 2 | valid |
| 23.0ms | 300× | 1 | valid |
ival-mult: 173.0ms (68.5% of total)ival-sub: 56.0ms (22.2% of total)adjust: 9.0ms (3.6% of total)exact: 7.0ms (2.8% of total)ival-true: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| 1× | egg-herbie |
| 776× | lower-fma.f64 |
| 776× | lower-fma.f32 |
| 480× | lower-*.f32 |
| 474× | lower-*.f64 |
| 238× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 33 | 18 |
| 2 | 97 | 14 |
| 3 | 332 | 14 |
| 4 | 923 | 14 |
| 5 | 1333 | 14 |
| 6 | 1344 | 14 |
| 7 | 1348 | 14 |
| 8 | 1348 | 14 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 46 | 7 |
| 3 | 99 | 7 |
| 4 | 196 | 7 |
| 5 | 285 | 7 |
| 6 | 380 | 7 |
| 7 | 581 | 7 |
| 8 | 682 | 7 |
| 9 | 769 | 7 |
| 10 | 943 | 7 |
| 11 | 1020 | 7 |
| 12 | 1020 | 7 |
| 13 | 1020 | 7 |
| 0 | 1020 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 440× | 0 | valid |
| 5.0ms | 44× | 2 | valid |
| 2.0ms | 28× | 1 | valid |
Compiled 78 to 32 computations (59% saved)
ival-mult: 13.0ms (65.4% of total)ival-sub: 4.0ms (20.1% of total)adjust: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 776× | lower-fma.f64 |
| 776× | lower-fma.f32 |
| 480× | lower-*.f32 |
| 474× | lower-*.f64 |
| 218× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 21 | 27 |
| 2 | 46 | 23 |
| 3 | 99 | 23 |
| 4 | 196 | 23 |
| 5 | 285 | 23 |
| 6 | 380 | 23 |
| 7 | 581 | 23 |
| 8 | 682 | 23 |
| 9 | 769 | 23 |
| 10 | 943 | 23 |
| 11 | 1020 | 23 |
| 12 | 1020 | 23 |
| 13 | 1020 | 23 |
| 0 | 1020 | 20 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
x |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 18.0ms | 220× | 0 | valid |
| 3.0ms | 22× | 2 | valid |
| 1.0ms | 14× | 1 | valid |
Compiled 29 to 9 computations (69% saved)
ival-sub: 6.0ms (39.4% of total)ival-mult: 5.0ms (32.8% of total)exact: 3.0ms (19.7% of total)adjust: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))> |
#<alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)> |
#<alt (*.f64 x #s(literal 3 binary64))> |
| Outputs |
|---|
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* 3 (- 2 (* x 3))) |
| 0.0ms | x | @ | 0 | (* (* 3 (- 2 (* x 3))) x) |
| 0.0ms | x | @ | 0 | (* 3 (- 2 (* x 3))) |
| 0.0ms | x | @ | inf | (* x 3) |
| 0.0ms | x | @ | -inf | (* (* 3 (- 2 (* x 3))) x) |
| 1× | batch-egg-rewrite |
| 15 340× | lower-fma.f64 |
| 15 340× | lower-fma.f32 |
| 4 142× | lower-*.f32 |
| 4 136× | lower-*.f64 |
| 3 486× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 35 | 24 |
| 2 | 210 | 20 |
| 3 | 1728 | 20 |
| 0 | 9546 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)) |
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) |
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))))) |
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
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(*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x)) |
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) |
(neg.f64 (*.f64 x #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64))) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 3 190× | lower-*.f64 |
| 3 190× | lower-*.f32 |
| 3 012× | lower-fma.f64 |
| 3 012× | lower-fma.f32 |
| 1 366× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 216 |
| 1 | 82 | 216 |
| 2 | 169 | 216 |
| 3 | 406 | 216 |
| 4 | 1019 | 216 |
| 5 | 1335 | 216 |
| 6 | 2557 | 216 |
| 7 | 5031 | 216 |
| 8 | 6891 | 216 |
| 9 | 7986 | 216 |
| 0 | 8012 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
Compiled 20 420 to 2 295 computations (88.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 889 | 9 | 898 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 890 | 9 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| 99.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) | |
| ▶ | 49.3% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
| 99.8% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) | |
| 70.3% | (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) x) | |
| ▶ | 50.6% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ▶ | 50.6% | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ▶ | 51.5% | (*.f64 x #s(literal 6 binary64)) |
| 50.6% | (*.f64 #s(literal -9 binary64) (*.f64 x x)) |
Compiled 180 to 120 computations (33.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| 158× | lower-*.f32 |
| 142× | lower-*.f64 |
| 110× | lower-fma.f32 |
| 106× | lower-fma.f64 |
| 98× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 84 |
| 0 | 34 | 78 |
| 1 | 61 | 77 |
| 2 | 103 | 77 |
| 3 | 152 | 76 |
| 4 | 180 | 76 |
| 5 | 225 | 76 |
| 6 | 295 | 76 |
| 7 | 323 | 76 |
| 8 | 334 | 76 |
| 0 | 334 | 74 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
#s(literal -9 binary64) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
#s(literal 3 binary64) |
(*.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
x |
(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(*.f64 x x) |
#s(literal -9 binary64) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 x #s(literal -9 binary64)) |
#s(literal -9 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -9 binary64)) |
#s(literal 3 binary64) |
(*.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
x |
(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -9 binary64) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| 28.0ms | 200× | 0 | valid |
| 9.0ms | 31× | 2 | valid |
| 5.0ms | 25× | 1 | valid |
Compiled 91 to 23 computations (74.7% saved)
ival-mult: 17.0ms (62% of total)ival-div: 4.0ms (14.6% of total)ival-add: 3.0ms (10.9% of total)adjust: 2.0ms (7.3% of total)exact: 1.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal -9 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x #s(literal 6 binary64))> |
#<alt (*.f64 (*.f64 #s(literal -9 binary64) x) x)> |
#<alt (*.f64 #s(literal -9 binary64) x)> |
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)> |
#<alt (*.f64 x #s(literal -3 binary64))> |
#<alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))> |
#<alt (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))> |
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (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 (* 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 (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* -3/4 x)) x)> |
#<alt (/ (+ 1/2 (* x (- (* 9/8 x) 3/4))) x)> |
#<alt (/ (+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4))) x)> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2))> |
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) (pow x 2))> |
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 1/3 (* -1 (/ (- 2/9 (* 4/27 (/ 1 x))) x))) (pow x 2))> |
#<alt (/ (+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (- 4/27 (* 8/81 (/ 1 x))) x))) x))) (pow x 2))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt 2> |
#<alt (+ 2 (* 3 x))> |
#<alt (+ 2 (* 3 x))> |
#<alt (+ 2 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x (+ (* 3 x) 2)) |
| 1.0ms | x | @ | inf | (+ (* x 6) (* (* x x) -9)) |
| 0.0ms | x | @ | 0 | (/ 3 (/ 1 (* x (+ (* 3 x) 2)))) |
| 0.0ms | x | @ | 0 | (+ (* x 6) (* (* x x) -9)) |
| 0.0ms | x | @ | inf | (* (* x x) -9) |
| 1× | batch-egg-rewrite |
| 9 746× | lower-fma.f32 |
| 9 742× | lower-fma.f64 |
| 4 778× | lower-*.f32 |
| 4 762× | lower-*.f64 |
| 1 900× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 70 |
| 0 | 34 | 64 |
| 1 | 103 | 63 |
| 2 | 595 | 62 |
| 3 | 5295 | 62 |
| 0 | 8170 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(*.f64 x #s(literal -3 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(fma.f64 #s(literal 36 binary64) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 36 binary64)) (/.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) x) (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) x) (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 36 binary64)) x) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (*.f64 x #s(literal 36 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) |
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) |
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (*.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (*.f64 x #s(literal 6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64)))) |
| 1× | egg-herbie |
| 8 142× | lower-fma.f64 |
| 8 142× | lower-fma.f32 |
| 2 876× | lower-*.f64 |
| 2 876× | lower-*.f32 |
| 2 488× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 776 |
| 1 | 238 | 776 |
| 2 | 477 | 768 |
| 3 | 914 | 764 |
| 4 | 2146 | 764 |
| 5 | 5184 | 764 |
| 0 | 8065 | 722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (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) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* 6 x) |
(* x (+ 6 (* 9 x))) |
(* x (+ 6 (* 9 x))) |
(* x (+ 6 (* 9 x))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* -3/4 x)) x) |
(/ (+ 1/2 (* x (- (* 9/8 x) 3/4))) x) |
(/ (+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4))) x) |
(/ 1/3 (pow x 2)) |
(/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2)) |
(/ (+ 1/3 (* -1 (/ (- 2/9 (* 4/27 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (- 4/27 (* 8/81 (/ 1 x))) x))) x))) (pow x 2)) |
(* 2 x) |
(* x (+ 2 (* 3 x))) |
(* x (+ 2 (* 3 x))) |
(* x (+ 2 (* 3 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
2 |
(+ 2 (* 3 x)) |
(+ 2 (* 3 x)) |
(+ 2 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* 3 x) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 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) |
(* 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) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* -3/4 x)) x) |
(/.f64 (fma.f64 x #s(literal -3/4 binary64) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* x (- (* 9/8 x) 3/4))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 9/8 binary64) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -27/16 binary64) #s(literal 9/8 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) x)) (*.f64 x x)) |
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal -2/9 binary64)) x)) (*.f64 x x)) |
(/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -8/81 binary64) x)) x) #s(literal -2/9 binary64)) x)) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) x)) (*.f64 x x)) |
(/ (+ 1/3 (* -1 (/ (- 2/9 (* 4/27 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal -2/9 binary64)) x)) (*.f64 x x)) |
(/ (+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (- 4/27 (* 8/81 (/ 1 x))) x))) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -8/81 binary64) x)) x) #s(literal -2/9 binary64)) x)) (*.f64 x x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
Compiled 13 830 to 1 815 computations (86.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 785 | 4 | 789 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 788 | 10 | 798 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ▶ | 92.8% | (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
| ▶ | 49.2% | (/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| ▶ | 51.5% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ▶ | 50.6% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| 70.3% | (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) x) | |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ✓ | 51.5% | (*.f64 x #s(literal 6 binary64)) |
Compiled 191 to 125 computations (34.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 36 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
| ✓ | cost-diff | 1728 | (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| 15 200× | lower-fma.f32 |
| 15 192× | lower-fma.f64 |
| 3 260× | lower-*.f32 |
| 3 246× | lower-*.f64 |
| 1 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 139 |
| 0 | 49 | 127 |
| 1 | 95 | 126 |
| 2 | 184 | 126 |
| 3 | 337 | 126 |
| 4 | 671 | 121 |
| 5 | 1200 | 121 |
| 6 | 1565 | 119 |
| 7 | 2593 | 119 |
| 8 | 3340 | 119 |
| 9 | 4109 | 119 |
| 10 | 4904 | 119 |
| 11 | 5099 | 119 |
| 12 | 5149 | 119 |
| 13 | 5315 | 119 |
| 14 | 5371 | 119 |
| 15 | 5375 | 119 |
| 16 | 5375 | 119 |
| 17 | 5375 | 119 |
| 18 | 5375 | 119 |
| 19 | 6920 | 119 |
| 20 | 7684 | 119 |
| 21 | 7700 | 119 |
| 22 | 7712 | 119 |
| 23 | 7720 | 119 |
| 24 | 7728 | 119 |
| 25 | 7728 | 119 |
| 0 | 8206 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
x |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
x |
#s(literal -9 binary64) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
x |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
#s(literal 3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x #s(literal 36 binary64)) |
x |
#s(literal 36 binary64) |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal 81 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
x |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal -9 binary64) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 6 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
x |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
#s(literal 3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 x #s(literal 36 binary64)) |
x |
#s(literal 36 binary64) |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal 81 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 95.6% | (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| 87.0ms | 84× | 5 | exit |
| 32.0ms | 162× | 0 | valid |
| 6.0ms | 7× | 2 | valid |
| 1.0ms | 3× | 1 | valid |
Compiled 154 to 34 computations (77.9% saved)
const: 34.0ms (35.9% of total)ival-div: 19.0ms (20.1% of total)ival-mult: 19.0ms (20.1% of total)adjust: 14.0ms (14.8% of total)ival-add: 6.0ms (6.3% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)> |
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal -9 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x))> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64))> |
#<alt (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))> |
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))> |
#<alt (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))> |
#<alt (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))> |
#<alt (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))> |
#<alt (*.f64 x #s(literal 36 binary64))> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))> |
#<alt (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (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 (* 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 (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* x (+ 6 (* 9 x)))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* x (+ 2 (* 3 x)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))> |
#<alt 2> |
#<alt (+ 2 (* 3 x))> |
#<alt (+ 2 (* 3 x))> |
#<alt (+ 2 (* 3 x))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* x (+ 3 (* 2 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -27/2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 81/4 x) 27/2))> |
#<alt (* (pow x 3) (- (* x (+ 81/4 (* -243/8 x))) 27/2))> |
#<alt (* (pow x 3) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2)))))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))> |
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))> |
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 36 x)> |
#<alt (* 27/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 27/2 (* -81/4 x)))> |
#<alt (* (pow x 3) (+ 27/2 (* x (- (* 243/8 x) 81/4))))> |
#<alt (* (pow x 3) (+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (- 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (- 9 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))))> |
#<alt 27/2> |
#<alt (+ 27/2 (* -81/4 x))> |
#<alt (+ 27/2 (* x (- (* 243/8 x) 81/4)))> |
#<alt (+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4)))> |
#<alt (/ 9 x)> |
#<alt (/ (- 9 (* 6 (/ 1 x))) x)> |
#<alt (/ (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x))) x)> |
#<alt (/ (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) x)> |
#<alt (/ 9 x)> |
#<alt (* -1 (/ (- (* 6 (/ 1 x)) 9) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9) x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (* x 36) |
| 2.0ms | x | @ | -inf | (* x 36) |
| 1.0ms | x | @ | inf | (+ (* 1 (/ (* x 36) (+ (* x 9) 6))) (neg (* (* x (* x x)) (/ 81 (+ (* x 9) 6))))) |
| 1.0ms | x | @ | 0 | (+ (* 1 (/ (* x 36) (+ (* x 9) 6))) (neg (* (* x (* x x)) (/ 81 (+ (* x 9) 6))))) |
| 1.0ms | x | @ | -inf | (+ (* 1 (/ (* x 36) (+ (* x 9) 6))) (neg (* (* x (* x x)) (/ 81 (+ (* x 9) 6))))) |
| 1× | batch-egg-rewrite |
| 10 342× | lower-fma.f32 |
| 10 334× | lower-fma.f64 |
| 3 978× | lower-*.f32 |
| 3 964× | lower-*.f64 |
| 3 648× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 114 |
| 0 | 49 | 89 |
| 1 | 182 | 88 |
| 2 | 1216 | 88 |
| 0 | 8578 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x #s(literal 36 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 #s(literal -81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (*.f64 x x))))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) x)) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) x)) (*.f64 x x))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64))))) |
(+.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1296 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 x #s(literal -36 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))))) (/.f64 (-.f64 (*.f64 x #s(literal -36 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(+.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 x #s(literal 6 binary64))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (*.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1296 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 x #s(literal -36 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))))) (/.f64 (-.f64 (*.f64 x #s(literal -36 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(-.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (neg.f64 (*.f64 x #s(literal 6 binary64)))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x #s(literal 36 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 46656 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1296 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 531441 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1296 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))))) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1296 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 #s(literal -81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) x)) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) x)) (*.f64 x x))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64))))) |
(fma.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(fma.f64 x (neg.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64)) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (*.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 531441 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))))) #s(literal 0 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 #s(literal 81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 81 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/81 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) |
(*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))))) |
(*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))) |
(*.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x #s(literal 1/81 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (/.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 81 binary64)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(neg.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64))))) |
(/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 #s(literal -81 binary64) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)))) |
(pow.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 #s(literal -81 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 81 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64)))) |
(*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/81 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 12 178× | lower-fma.f64 |
| 12 178× | lower-fma.f32 |
| 3 524× | lower-*.f64 |
| 3 524× | lower-*.f32 |
| 2 162× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1148 |
| 1 | 511 | 1124 |
| 2 | 1287 | 1100 |
| 3 | 3225 | 1080 |
| 4 | 7022 | 1080 |
| 0 | 8112 | 990 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (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) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* 6 x) |
(* x (+ 6 (* 9 x))) |
(* x (+ 6 (* 9 x))) |
(* x (+ 6 (* 9 x))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 3 x))) |
(* x (+ 2 (* 3 x))) |
(* x (+ 2 (* 3 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
2 |
(+ 2 (* 3 x)) |
(+ 2 (* 3 x)) |
(+ 2 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* 3 x) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -27/2 (pow x 3)) |
(* (pow x 3) (- (* 81/4 x) 27/2)) |
(* (pow x 3) (- (* x (+ 81/4 (* -243/8 x))) 27/2)) |
(* (pow x 3) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2))))) |
(* (pow x 2) (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2))))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9)) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 36 x) |
(* 27/2 (pow x 3)) |
(* (pow x 3) (+ 27/2 (* -81/4 x))) |
(* (pow x 3) (+ 27/2 (* x (- (* 243/8 x) 81/4)))) |
(* (pow x 3) (+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x)))) |
27/2 |
(+ 27/2 (* -81/4 x)) |
(+ 27/2 (* x (- (* 243/8 x) 81/4))) |
(+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4))) |
(/ 9 x) |
(/ (- 9 (* 6 (/ 1 x))) x) |
(/ (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x))) x) |
(/ (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) x) |
(/ 9 x) |
(* -1 (/ (- (* 6 (/ 1 x)) 9) x)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9) x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 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) |
(* 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) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* 9 x))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* 3 x))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (+ 3 (* 2 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(+ 2 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* x (+ 3 (* 2 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -27/2 (pow x 3)) |
(*.f64 #s(literal -27/2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 81/4 x) 27/2)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 81/4 binary64) #s(literal -27/2 binary64)))) |
(* (pow x 3) (- (* x (+ 81/4 (* -243/8 x))) 27/2)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -243/8 binary64) #s(literal 81/4 binary64)) #s(literal -27/2 binary64)))) |
(* (pow x 3) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 729/16 binary64) #s(literal -243/8 binary64)) #s(literal 81/4 binary64)) #s(literal -27/2 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2))))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x)))) |
(* (pow x 2) (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2))))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal -4 binary64)) x)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal -4 binary64)) x)))) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 27/2 binary64) #s(literal -9 binary64)) #s(literal 6 binary64))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8/3 binary64) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) x)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8/3 binary64) x)) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) x)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 36 x) |
(*.f64 x #s(literal 36 binary64)) |
(* 27/2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 27/2 binary64))) |
(* (pow x 3) (+ 27/2 (* -81/4 x))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64))) |
(* (pow x 3) (+ 27/2 (* x (- (* 243/8 x) 81/4)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 243/8 binary64) #s(literal -81/4 binary64)) #s(literal 27/2 binary64))) |
(* (pow x 3) (+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4)))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -729/16 binary64) #s(literal 243/8 binary64)) #s(literal -81/4 binary64)) #s(literal 27/2 binary64)))) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) |
(* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -6 binary64)))) |
(* (pow x 2) (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8/3 binary64) x)) x) #s(literal -6 binary64)))) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -6 binary64)))) |
(* (pow x 2) (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8/3 binary64) x)) x) #s(literal -6 binary64)))) |
27/2 |
#s(literal 27/2 binary64) |
(+ 27/2 (* -81/4 x)) |
(fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64)) |
(+ 27/2 (* x (- (* 243/8 x) 81/4))) |
(fma.f64 x (fma.f64 x #s(literal 243/8 binary64) #s(literal -81/4 binary64)) #s(literal 27/2 binary64)) |
(+ 27/2 (* x (- (* x (+ 243/8 (* -729/16 x))) 81/4))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -729/16 binary64) #s(literal 243/8 binary64)) #s(literal -81/4 binary64)) #s(literal 27/2 binary64)) |
(/ 9 x) |
(/.f64 #s(literal 9 binary64) x) |
(/ (- 9 (* 6 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -6 binary64) x)) x) |
(/ (- (+ 9 (/ 4 (pow x 2))) (* 6 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -6 binary64)) x)) x) |
(/ (- (+ 9 (/ 4 (pow x 2))) (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal -4 binary64)) x)) x)) x) |
(/ 9 x) |
(/.f64 #s(literal 9 binary64) x) |
(* -1 (/ (- (* 6 (/ 1 x)) 9) x)) |
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -6 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 6) x)) 9) x)) |
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -6 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) 6) x)) 9) x)) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal -4 binary64)) x)) x)) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 41 717 to 2 315 computations (94.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 463 | 4 | 1 467 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 466 | 11 | 1 477 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.7% | (fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ▶ | 92.8% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| ▶ | 51.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | 51.5% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ▶ | 98.9% | (*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
| ✓ | 50.6% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ✓ | 51.5% | (*.f64 x #s(literal 6 binary64)) |
Compiled 108 to 73 computations (32.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) |
| ✓ | cost-diff | 1088 | (fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 896 | (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) |
| 2 024× | lower-fma.f32 |
| 2 016× | lower-fma.f64 |
| 1 400× | lower-*.f32 |
| 1 388× | lower-*.f64 |
| 514× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 181 |
| 0 | 55 | 183 |
| 1 | 92 | 183 |
| 2 | 172 | 181 |
| 3 | 342 | 180 |
| 4 | 644 | 161 |
| 5 | 1188 | 155 |
| 6 | 2058 | 155 |
| 7 | 2613 | 155 |
| 8 | 3447 | 155 |
| 9 | 4329 | 155 |
| 10 | 4592 | 155 |
| 11 | 4663 | 155 |
| 12 | 4690 | 155 |
| 13 | 4696 | 155 |
| 14 | 4872 | 155 |
| 15 | 4930 | 155 |
| 16 | 4934 | 155 |
| 17 | 4934 | 155 |
| 18 | 4986 | 155 |
| 19 | 5018 | 155 |
| 0 | 5018 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
(+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) |
(/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal 36 binary64) |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
x |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal -81 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(*.f64 x x) |
x |
#s(literal 81 binary64) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(neg.f64 x) |
x |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(/.f64 (*.f64 x x) #s(literal 1/81 binary64)) |
(*.f64 x x) |
#s(literal 1/81 binary64) |
(/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) |
(+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal 36 binary64) |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
x |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 x x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -2/27 binary64))) |
(/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
#s(literal -81 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(*.f64 x x) |
x |
#s(literal 81 binary64) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(neg.f64 x) |
x |
(fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) |
#s(literal 9 binary64) |
#s(literal 6 binary64) |
(/.f64 (*.f64 x x) #s(literal 1/81 binary64)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(*.f64 x x) |
#s(literal 1/81 binary64) |
(/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/36 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) |
| ✓ | accuracy | 95.2% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
| ✓ | accuracy | 82.4% | (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) |
| 82.0ms | 85× | 5 | exit |
| 42.0ms | 156× | 0 | valid |
| 4.0ms | 8× | 2 | valid |
| 2.0ms | 5× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 203 to 38 computations (81.3% saved)
const: 31.0ms (31.2% of total)ival-div: 22.0ms (22.1% of total)adjust: 18.0ms (18.1% of total)ival-mult: 18.0ms (18.1% of total)ival-add: 8.0ms (8% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)))> |
#<alt (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))> |
#<alt (*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x)> |
#<alt (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))> |
#<alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))> |
#<alt (*.f64 x #s(literal 2 binary64))> |
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))> |
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))))> |
#<alt (/.f64 (*.f64 x x) #s(literal 1/81 binary64))> |
#<alt (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))> |
#<alt (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))> |
#<alt (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))> |
#<alt (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))> |
| Outputs |
|---|
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -27/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 81/4 x) 27/2))> |
#<alt (* (pow x 2) (- (* x (+ 81/4 (* -243/8 x))) 27/2))> |
#<alt (* (pow x 2) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2)))))> |
#<alt (* x (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2)))))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* x (- (* 27/2 x) 9)))> |
#<alt (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))> |
#<alt (/ 4 x)> |
#<alt (/ (- 4 (* 8/3 (/ 1 x))) x)> |
#<alt (/ (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) x)> |
#<alt (/ (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) x)> |
#<alt (/ 4 x)> |
#<alt (* -1 (/ (- (* 8/3 (/ 1 x)) 4) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x)) 4) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32/27 (/ 1 x)) 16/9) x)) 8/3) x)) 4) 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 (* 6 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 (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -36 x)> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* 81 (pow x 3))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt -36> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 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)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/4 x) 1/6))> |
#<alt (* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))> |
#<alt (* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))> |
#<alt -1/9> |
#<alt (- (* 2/27 (/ 1 x)) 1/9)> |
#<alt (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))> |
#<alt (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))> |
#<alt -1/9> |
#<alt (- (* 2/27 (/ 1 x)) 1/9)> |
#<alt (- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)> |
#<alt -27/2> |
#<alt (- (* 81/4 x) 27/2)> |
#<alt (- (* x (+ 81/4 (* -243/8 x))) 27/2)> |
#<alt (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2)> |
#<alt (/ -9 x)> |
#<alt (/ (- (* 6 (/ 1 x)) 9) x)> |
#<alt (/ (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2)))) x)> |
#<alt (/ (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2)))) x)> |
#<alt (/ -9 x)> |
#<alt (* -1 (/ (- 9 (* 6 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))) x))> |
#<alt (* -1 (/ (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))) x))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))> |
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))> |
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (/ 36 (+ (* x 9) 6)) (* (/ -81 (+ (* x 9) 6)) (* x x))) |
| 0.0ms | x | @ | 0 | (/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6)) |
| 0.0ms | x | @ | inf | (/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6)) |
| 0.0ms | x | @ | inf | (+ (/ 36 (+ (* x 9) 6)) (* (/ -81 (+ (* x 9) 6)) (* x x))) |
| 0.0ms | x | @ | -inf | (/ (* (+ (* (* x x) 81) -36) x) (+ (* x -9) -6)) |
| 1× | batch-egg-rewrite |
| 5 634× | lower-/.f32 |
| 5 620× | lower-/.f64 |
| 5 572× | lower-fma.f32 |
| 5 564× | lower-fma.f64 |
| 3 698× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 143 |
| 0 | 55 | 141 |
| 1 | 209 | 135 |
| 2 | 1910 | 133 |
| 0 | 8218 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) |
(*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
(/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(*.f64 x x) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 x x) #s(literal 1/81 binary64)) |
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1296 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1296 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 x (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal -81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x)) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal -81 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal -36 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 #s(literal -9 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 36 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal -1/81 binary64)) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x #s(literal -1/81 binary64)) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64))) x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal 54 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/81 binary64)))) |
(fma.f64 (/.f64 #s(literal -81 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal 54 binary64))))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal 54 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal -81 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 x #s(literal -9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal -9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal -81 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal 54 binary64))))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal -81 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -81 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal 54 binary64))))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
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(pow.f64 (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1/36 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 36 binary64) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) x) |
(*.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -36 binary64) (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal -36 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x #s(literal 1/36 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/36 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 36 binary64)) |
(*.f64 (/.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (neg.f64 x) #s(literal 1/36 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x #s(literal -1/36 binary64))) |
(*.f64 (/.f64 x #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) |
| 1× | egg-herbie |
| 9 916× | lower-fma.f64 |
| 9 916× | lower-fma.f32 |
| 3 416× | lower-*.f64 |
| 3 416× | lower-*.f32 |
| 3 170× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1224 |
| 1 | 601 | 1192 |
| 2 | 1440 | 1176 |
| 3 | 3381 | 1156 |
| 0 | 8152 | 1057 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -27/2 (pow x 2)) |
(* (pow x 2) (- (* 81/4 x) 27/2)) |
(* (pow x 2) (- (* x (+ 81/4 (* -243/8 x))) 27/2)) |
(* (pow x 2) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2))))) |
(* x (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2))))) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))))) |
(* -1 (* x (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* x (- (* 27/2 x) 9))) |
(+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))) |
(/ 4 x) |
(/ (- 4 (* 8/3 (/ 1 x))) x) |
(/ (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) x) |
(/ (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) x) |
(/ 4 x) |
(* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x)) 4) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32/27 (/ 1 x)) 16/9) x)) 8/3) x)) 4) x)) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 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) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -36 x) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* 81 (pow x 3)) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
-36 |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 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) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* 1/4 x)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* -1/6 x) |
(* x (- (* 1/4 x) 1/6)) |
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6)) |
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)) |
-1/9 |
(- (* 2/27 (/ 1 x)) 1/9) |
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) |
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) |
-1/9 |
(- (* 2/27 (/ 1 x)) 1/9) |
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9) |
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9) |
-27/2 |
(- (* 81/4 x) 27/2) |
(- (* x (+ 81/4 (* -243/8 x))) 27/2) |
(- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2) |
(/ -9 x) |
(/ (- (* 6 (/ 1 x)) 9) x) |
(/ (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2)))) x) |
(/ (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2)))) x) |
(/ -9 x) |
(* -1 (/ (- 9 (* 6 (/ 1 x))) x)) |
(* -1 (/ (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))) x)) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
| Outputs |
|---|
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -27/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -27/2 binary64))) |
(* (pow x 2) (- (* 81/4 x) 27/2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 81/4 binary64) #s(literal -27/2 binary64)))) |
(* (pow x 2) (- (* x (+ 81/4 (* -243/8 x))) 27/2)) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -243/8 binary64) #s(literal 81/4 binary64)) #s(literal -27/2 binary64))) |
(* (pow x 2) (- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2)) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 729/16 binary64) #s(literal -243/8 binary64)) #s(literal 81/4 binary64)) #s(literal -27/2 binary64))) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2))))) |
(fma.f64 #s(literal -9 binary64) x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x))) |
(* x (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2))))) |
(fma.f64 #s(literal -9 binary64) x (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x))) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))))) |
(fma.f64 #s(literal -9 binary64) x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x))) |
(* -1 (* x (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))))) |
(fma.f64 #s(literal -9 binary64) x (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x))) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* x (- (* 27/2 x) 9))) |
(fma.f64 x (fma.f64 x #s(literal 27/2 binary64) #s(literal -9 binary64)) #s(literal 6 binary64)) |
(+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(/ (- 4 (* 8/3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x) |
(/ (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) x) |
(/ (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) x)) x) |
(/ 4 x) |
(/.f64 #s(literal 4 binary64) x) |
(* -1 (/ (- (* 8/3 (/ 1 x)) 4) x)) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x)) 4) x)) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32/27 (/ 1 x)) 16/9) x)) 8/3) x)) 4) x)) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) 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) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -36 x) |
(*.f64 x #s(literal -36 binary64)) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
-36 |
#s(literal -36 binary64) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 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) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/4 x) 1/6)) |
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/6 binary64))) |
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64)) #s(literal -1/6 binary64))) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* 2/27 (/ 1 x)) 1/9) |
(+.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal -1/9 binary64)) |
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) |
(+.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal -1/9 binary64)) |
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) |
(+.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x) #s(literal -1/9 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* 2/27 (/ 1 x)) 1/9) |
(+.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal -1/9 binary64)) |
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9) |
(+.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal -1/9 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9) |
(+.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 (-.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x) #s(literal -1/9 binary64)) |
-27/2 |
#s(literal -27/2 binary64) |
(- (* 81/4 x) 27/2) |
(fma.f64 x #s(literal 81/4 binary64) #s(literal -27/2 binary64)) |
(- (* x (+ 81/4 (* -243/8 x))) 27/2) |
(fma.f64 x (fma.f64 x #s(literal -243/8 binary64) #s(literal 81/4 binary64)) #s(literal -27/2 binary64)) |
(- (* x (+ 81/4 (* x (- (* 729/16 x) 243/8)))) 27/2) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 729/16 binary64) #s(literal -243/8 binary64)) #s(literal 81/4 binary64)) #s(literal -27/2 binary64)) |
(/ -9 x) |
(/.f64 #s(literal -9 binary64) x) |
(/ (- (* 6 (/ 1 x)) 9) x) |
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(/ (- (* 6 (/ 1 x)) (+ 9 (/ 4 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x) |
(/ (- (+ (* 6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))) (+ 9 (/ 4 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal -9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x) #s(literal -6 binary64)) x)) x) |
(/ -9 x) |
(/.f64 #s(literal -9 binary64) x) |
(* -1 (/ (- 9 (* 6 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 6 binary64) x)) x) |
(* -1 (/ (+ 9 (* -1 (/ (- 6 (* 4 (/ 1 x))) x))) x)) |
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x) |
(* -1 (/ (+ 9 (* -1 (/ (+ 6 (* -1 (/ (- 4 (* 8/3 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 #s(literal -9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) x) #s(literal -6 binary64)) x)) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 27/2 binary64) #s(literal -9 binary64)) #s(literal 6 binary64))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81/4 binary64) #s(literal 27/2 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) x)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/9 binary64) x) #s(literal -8/3 binary64)) x)) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -32/27 binary64) x)) x) #s(literal -8/3 binary64)) x)) |
Compiled 23 590 to 2 306 computations (90.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 928 | 2 | 930 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 7 | 7 |
| Total | 931 | 10 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ✓ | 51.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
| 50.3% | (/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) | |
| ✓ | 51.5% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| 98.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ✓ | 50.6% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | 50.6% | (*.f64 (*.f64 #s(literal -9 binary64) x) x) |
| ✓ | 51.5% | (*.f64 x #s(literal 6 binary64)) |
Compiled 286 to 141 computations (50.7% saved)
| Inputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x x))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 1/36 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) x) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
2 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(*.f64 x #s(literal 6 binary64)) |
2 calls:
| 4.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | x |
| 96.9% | 2 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 x #s(literal 6 binary64)) |
1 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 10 to 7 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | x |
| 51.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -40986172.71020577 | -0.0005583735665180324 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -40986172.71020577 | -0.0005583735665180324 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 57 |
| 1 | 35 | 57 |
| 2 | 47 | 57 |
| 3 | 53 | 57 |
| 4 | 57 | 57 |
| 5 | 58 | 57 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -40000000 binary64)) (*.f64 (*.f64 #s(literal -9 binary64) x) x) (*.f64 x #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -40000000 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -40000000 binary64)) (*.f64 (*.f64 #s(literal -9 binary64) x) x) (*.f64 x #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) #s(literal -40000000 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -40000000 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 x #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) #s(literal -40000000 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
| 15 340× | lower-fma.f64 |
| 15 340× | lower-fma.f32 |
| 4 142× | lower-*.f32 |
| 4 136× | lower-*.f64 |
| 3 486× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 35 | 24 |
| 2 | 210 | 20 |
| 3 | 1728 | 20 |
| 0 | 9546 | 17 |
| 0 | 32 | 216 |
| 1 | 82 | 216 |
| 2 | 169 | 216 |
| 3 | 406 | 216 |
| 4 | 1019 | 216 |
| 5 | 1335 | 216 |
| 6 | 2557 | 216 |
| 7 | 5031 | 216 |
| 8 | 6891 | 216 |
| 9 | 7986 | 216 |
| 0 | 8012 | 189 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 98 to 49 computations (50% saved)
Compiled 156 to 70 computations (55.1% saved)
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