
Time bar (total: 11.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 2 |
| 50% | 24.8% | 24.8% | 50.4% | 0% | 0% | 0% | 3 |
| 75% | 37.2% | 12.4% | 50.4% | 0% | 0% | 0% | 4 |
| 87.5% | 43.4% | 6.2% | 50.4% | 0% | 0% | 0% | 5 |
| 93.8% | 46.5% | 3.1% | 50.4% | 0% | 0% | 0% | 6 |
| 96.9% | 48.1% | 1.6% | 50.4% | 0% | 0% | 0% | 7 |
| 98.4% | 48.8% | 0.8% | 50.4% | 0% | 0% | 0% | 8 |
| 99.2% | 49.2% | 0.4% | 50.4% | 0% | 0% | 0% | 9 |
| 99.6% | 49.4% | 0.2% | 50.4% | 0% | 0% | 0% | 10 |
| 99.8% | 49.5% | 0.1% | 50.4% | 0% | 0% | 0% | 11 |
| 99.9% | 49.6% | 0% | 50.4% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 2.1s | 5 776× | 2 | valid |
| 308.0ms | 2 395× | 1 | valid |
| 8.0ms | 85× | 0 | valid |
ival-cos: 1.2s (59.6% of total)ival-sub: 373.0ms (17.9% of total)const: 249.0ms (11.9% of total)adjust: 117.0ms (5.6% of total)ival-<=: 78.0ms (3.7% of total)exact: 13.0ms (0.6% of total)ival-and: 11.0ms (0.5% of total)ival-assert: 3.0ms (0.1% of total)| 2× | egg-herbie |
| 24× | +-lowering-+.f64 |
| 24× | +-lowering-+.f32 |
| 22× | sub-neg |
| 18× | --lowering--.f32 |
| 18× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 17 | 12 |
| 2 | 36 | 12 |
| 3 | 56 | 12 |
| 4 | 88 | 12 |
| 5 | 104 | 12 |
| 6 | 110 | 12 |
| 0 | 4 | 4 |
| 1 | 8 | 4 |
| 2 | 12 | 4 |
| 3 | 17 | 4 |
| 4 | 23 | 4 |
| 5 | 31 | 4 |
| 6 | 41 | 4 |
| 7 | 52 | 4 |
| 8 | 55 | 4 |
| 0 | 55 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- 1 (cos x)) |
| Outputs |
|---|
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Inputs |
|---|
(- 1 (cos x)) |
(- 1 (cos (neg x))) |
(neg (- 1 (cos (neg x)))) |
| Outputs |
|---|
(- 1 (cos x)) |
(- 1 (cos (neg x))) |
(- 1 (cos x)) |
(neg (- 1 (cos (neg x)))) |
(+ (cos x) -1) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 126 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 0 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 0 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 91.0ms | 380× | 2 | valid |
| 10.0ms | 130× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 30 to 20 computations (33.3% saved)
ival-cos: 66.0ms (82.1% of total)ival-sub: 7.0ms (8.7% of total)adjust: 6.0ms (7.5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.4% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 24× | +-lowering-+.f64 |
| 24× | +-lowering-+.f32 |
| 18× | --lowering--.f32 |
| 18× | --lowering--.f64 |
| 16× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 8 | 8 |
| 2 | 12 | 8 |
| 3 | 17 | 8 |
| 4 | 23 | 8 |
| 5 | 31 | 8 |
| 6 | 41 | 8 |
| 7 | 52 | 8 |
| 8 | 55 | 8 |
| 0 | 55 | 8 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (cos x)) |
1 |
(cos x) |
x |
| Outputs |
|---|
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 55.4% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 48.0ms | 190× | 2 | valid |
| 5.0ms | 65× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 10 to 6 computations (40% saved)
ival-cos: 27.0ms (78.4% of total)adjust: 3.0ms (8.7% of total)ival-sub: 3.0ms (8.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- 1 (cos x)) |
| 0.0ms | x | @ | inf | (- 1 (cos x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 0.0ms | x | @ | -inf | (- 1 (cos x)) |
| 0.0ms | x | @ | inf | (cos x) |
| 1× | batch-egg-rewrite |
| 4 830× | *-lowering-*.f32 |
| 4 830× | *-lowering-*.f64 |
| 4 620× | /-lowering-/.f32 |
| 4 620× | /-lowering-/.f64 |
| 3 866× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 21 | 6 |
| 2 | 140 | 6 |
| 3 | 1151 | 6 |
| 0 | 9229 | 6 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (sin.f64 x) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 32 720× | accelerator-lowering-fma.f32 |
| 32 720× | accelerator-lowering-fma.f64 |
| 3 926× | *-lowering-*.f32 |
| 3 926× | *-lowering-*.f64 |
| 3 120× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 144 |
| 1 | 101 | 144 |
| 2 | 246 | 144 |
| 3 | 589 | 144 |
| 4 | 1230 | 144 |
| 5 | 1905 | 144 |
| 6 | 2165 | 144 |
| 7 | 2814 | 144 |
| 8 | 4054 | 144 |
| 9 | 5622 | 144 |
| 10 | 6523 | 144 |
| 11 | 6804 | 144 |
| 12 | 6843 | 144 |
| 13 | 6843 | 144 |
| 14 | 7276 | 144 |
| 15 | 7552 | 144 |
| 16 | 7593 | 144 |
| 17 | 7595 | 144 |
| 18 | 7595 | 144 |
| 19 | 7595 | 144 |
| 20 | 7595 | 144 |
| 21 | 7605 | 144 |
| 22 | 7605 | 144 |
| 23 | 7605 | 144 |
| 0 | 8510 | 132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/720 binary64) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 11 036 to 911 computations (91.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 4 | 338 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 335 | 4 | 339 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ▶ | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ▶ | 99.7% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ▶ | 54.8% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
Compiled 52 to 29 computations (44.2% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 2 776× | accelerator-lowering-fma.f32 |
| 2 776× | accelerator-lowering-fma.f64 |
| 1 060× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 636× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 1 | 97 | 148 |
| 2 | 293 | 148 |
| 3 | 609 | 148 |
| 4 | 1160 | 148 |
| 5 | 1889 | 148 |
| 6 | 2161 | 148 |
| 7 | 2167 | 148 |
| 8 | 2168 | 148 |
| 0 | 2168 | 132 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 1) |
1 |
(+ (* 1/2 (+ (* x x) 0)) 0) |
1/2 |
(+ (* x x) 0) |
x |
0 |
(+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0) |
x |
(+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0) |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2) |
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24) |
(+ (* x x) 0) |
0 |
(+ (* x (+ (* x -1/40320) 0)) 1/720) |
(+ (* x -1/40320) 0) |
-1/40320 |
1/720 |
-1/24 |
1/2 |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) -1/24) 1/2)) 0) |
(+ (* x x) 0) |
x |
0 |
(+ (* (+ (* x x) 0) -1/24) 1/2) |
-1/24 |
1/2 |
| Outputs |
|---|
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (+ (* x x) 0)) 0) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal 0 binary64)) #s(literal -1/24 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* x (+ (* x -1/40320) 0)) 1/720) |
(fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) |
(+ (* x -1/40320) 0) |
(fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) |
-1/40320 |
#s(literal -1/40320 binary64) |
1/720 |
#s(literal 1/720 binary64) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) -1/24) 1/2)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* x x) 0) -1/24) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/24 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 54.0ms | 256× | 0 | valid |
Compiled 164 to 32 computations (80.5% saved)
ival-mult: 16.0ms (39.4% of total)ival-add: 12.0ms (29.6% of total)const: 11.0ms (27.1% of total)ival-sub: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 1)> |
#<alt (+ (* 1/2 (+ (* x x) 0)) 0)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0)> |
#<alt (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)> |
#<alt (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)> |
#<alt (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)> |
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) -1/24) 1/2)) 0)> |
#<alt (+ (* (+ (* x x) 0) -1/24) 1/2)> |
#<alt (+ (* x -1/40320) 0)> |
#<alt (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* -1/40320 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* -1/40320 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/24 x)> |
#<alt (* x (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))> |
#<alt (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))> |
#<alt (* -1/40320 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt (* -1/40320 x)> |
#<alt -1/24> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* -1/40320 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0) |
| 1.0ms | x | @ | 0 | (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0) |
| 0.0ms | x | @ | 0 | (+ (* 1/2 (+ (* x x) 0)) 0) |
| 0.0ms | x | @ | inf | (+ (* 1/2 (+ (* x x) 0)) 0) |
| 0.0ms | x | @ | 0 | (+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0) |
| 1× | batch-egg-rewrite |
| 4 196× | accelerator-lowering-fma.f32 |
| 4 196× | accelerator-lowering-fma.f64 |
| 3 518× | *-lowering-*.f32 |
| 3 518× | *-lowering-*.f64 |
| 3 448× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 121 |
| 1 | 232 | 121 |
| 2 | 2491 | 121 |
| 0 | 8502 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 1) |
(+ (* 1/2 (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
(+ (* x (+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0)) 0) |
(+ (* x (+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2)) 0) |
(+ (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0)) 1/2) |
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24)) 0) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) -1/24) 1/2)) 0) |
(+ (* (+ (* x x) 0) -1/24) 1/2) |
(+ (* x -1/40320) 0) |
(+ (* (+ (* x x) 0) (+ (* x (+ (* x -1/40320) 0)) 1/720)) -1/24) |
| Outputs |
|---|
#s(literal 0 binary64) |
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/576 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/13824 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) #s(literal -1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/576 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))) |
| 1× | egg-herbie |
| 16 184× | accelerator-lowering-fma.f32 |
| 16 184× | accelerator-lowering-fma.f64 |
| 4 208× | *-lowering-*.f32 |
| 4 208× | *-lowering-*.f64 |
| 2 138× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1076 |
| 1 | 233 | 1076 |
| 2 | 610 | 1076 |
| 3 | 1764 | 1076 |
| 4 | 4843 | 1068 |
| 0 | 8446 | 1014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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) |
(pow x 2) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1/40320 (pow x 8)) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 8)) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* -1/40320 (pow x 7)) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 6)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/24 x) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(* -1/40320 (pow x 5)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
(* -1/40320 x) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* -1/40320 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* -1/40320 (pow x 8)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1/40320 (pow x 8)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(* -1/40320 (pow x 7)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* -1/40320 (pow x 7)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(fma.f64 (+.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/40320 (pow x 6)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(* -1/40320 (pow x 6)) |
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* x (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) |
(* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) |
(* -1/40320 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(fma.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* -1/40320 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))) |
(* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* -1/24 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* -1/24 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
(* -1/40320 x) |
(*.f64 x #s(literal -1/40320 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) |
(* -1/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))))) |
(* -1/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))))) |
Compiled 48 591 to 3 019 computations (93.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 952 | 4 | 956 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 0 | 0 |
| Total | 956 | 4 | 960 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ▶ | 99.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ▶ | 100.0% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
| ▶ | 54.8% | #s(literal 0 binary64) |
Compiled 32 to 21 computations (34.4% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | cost-diff | -64 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/24 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| 120× | accelerator-lowering-fma.f32 |
| 120× | accelerator-lowering-fma.f64 |
| 76× | *-lowering-*.f32 |
| 76× | *-lowering-*.f64 |
| 70× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 72 |
| 1 | 44 | 72 |
| 2 | 99 | 72 |
| 3 | 147 | 72 |
| 4 | 171 | 72 |
| 5 | 172 | 72 |
| 0 | 172 | 67 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
0 |
(* x (* x (+ (* x (* x -1/24)) 1/2))) |
x |
(* x (+ (* x (* x -1/24)) 1/2)) |
(+ (* x (* x -1/24)) 1/2) |
(* x -1/24) |
-1/24 |
1/2 |
(* (* 1/2 x) x) |
(* 1/2 x) |
1/2 |
x |
(+ (* (+ (* x x) 0) (+ (* (* x x) -1/24) 1/2)) 0) |
(+ (* x x) 0) |
x |
0 |
(+ (* (* x x) -1/24) 1/2) |
(* x x) |
-1/24 |
1/2 |
| Outputs |
|---|
0 |
#s(literal 0 binary64) |
(* x (* x (+ (* x (* x -1/24)) 1/2))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x (+ (* x (* x -1/24)) 1/2)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(+ (* x (* x -1/24)) 1/2) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* x -1/24) |
(*.f64 x #s(literal -1/24 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (* 1/2 x) x) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
x |
(+ (* (+ (* x x) 0) (+ (* (* x x) -1/24) 1/2)) 0) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (* x x) -1/24) 1/2) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/24 binary64)) |
| 33.0ms | 256× | 0 | valid |
Compiled 72 to 19 computations (73.6% saved)
ival-mult: 12.0ms (57.1% of total)ival-add: 4.0ms (19% of total)const: 4.0ms (19% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (* x -1/24)) 1/2)> |
#<alt (* x -1/24)> |
#<alt (* x (* x (+ (* x (* x -1/24)) 1/2)))> |
#<alt (* x (+ (* x (* x -1/24)) 1/2))> |
#<alt (* (* 1/2 x) x)> |
#<alt (* 1/2 x)> |
#<alt (+ (* (* x x) -1/24) 1/2)> |
#<alt (+ (* (+ (* x x) 0) (+ (* (* x x) -1/24) 1/2)) 0)> |
#<alt (+ (* x x) 0)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* -1/24 x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<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 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<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 (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)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* (* 1/2 x) x) |
| 0.0ms | x | @ | -inf | (* 1/2 x) |
| 0.0ms | x | @ | inf | (* x -1/24) |
| 0.0ms | x | @ | -inf | (* x -1/24) |
| 0.0ms | x | @ | inf | (* x (* x (+ (* x (* x -1/24)) 1/2))) |
| 1× | batch-egg-rewrite |
| 9 088× | accelerator-lowering-fma.f32 |
| 9 088× | accelerator-lowering-fma.f64 |
| 5 994× | *-lowering-*.f32 |
| 5 994× | *-lowering-*.f64 |
| 3 958× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 62 |
| 1 | 96 | 62 |
| 2 | 822 | 62 |
| 0 | 8765 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x -1/24)) 1/2) |
(* x -1/24) |
(* x (* x (+ (* x (* x -1/24)) 1/2))) |
(* x (+ (* x (* x -1/24)) 1/2)) |
(* (* 1/2 x) x) |
(* 1/2 x) |
(+ (* (* x x) -1/24) 1/2) |
(+ (* (+ (* x x) 0) (+ (* (* x x) -1/24) 1/2)) 0) |
(+ (* x x) 0) |
(* x x) |
| Outputs |
|---|
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x)) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 2 940× | *-lowering-*.f32 |
| 2 940× | *-lowering-*.f64 |
| 2 464× | accelerator-lowering-fma.f32 |
| 2 464× | accelerator-lowering-fma.f64 |
| 1 448× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 674 |
| 1 | 73 | 674 |
| 2 | 168 | 674 |
| 3 | 471 | 674 |
| 4 | 1471 | 674 |
| 5 | 4073 | 674 |
| 6 | 5789 | 674 |
| 7 | 7089 | 674 |
| 0 | 8097 | 629 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* -1/24 x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 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) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(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) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* -1/24 x) |
(fma.f64 #s(literal -1/24 binary64) x #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 4)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 4)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 3)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 3)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 4)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* -1/24 (pow x 4)) |
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
Compiled 76 855 to 2 180 computations (97.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 816 | 1 | 1 817 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 1 817 | 4 | 1 821 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| ✓ | 99.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | 100.0% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 54.8% | #s(literal 0 binary64) |
Compiled 31 to 20 computations (35.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 76× | *-lowering-*.f32 |
| 76× | *-lowering-*.f64 |
| 28× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 23 | 25 |
| 2 | 63 | 25 |
| 3 | 94 | 25 |
| 4 | 96 | 25 |
| 5 | 100 | 25 |
| 6 | 101 | 25 |
| 0 | 101 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
(* x x) |
x |
(+ (* (* x x) -1/24) 1/2) |
-1/24 |
1/2 |
0 |
| Outputs |
|---|
(+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* x x) -1/24) 1/2) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
1/2 |
#s(literal 1/2 binary64) |
0 |
#s(literal 0 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
| 19.0ms | 256× | 0 | valid |
Compiled 26 to 11 computations (57.7% saved)
ival-mult: 5.0ms (40.8% of total)const: 5.0ms (40.8% of total)ival-add: 2.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0)> |
#<alt (* x x)> |
#<alt (+ (* (* x x) -1/24) 1/2)> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) -1/24) 1/2) |
| 0.0ms | x | @ | inf | (+ (* (* x x) -1/24) 1/2) |
| 1× | batch-egg-rewrite |
| 4 890× | accelerator-lowering-fma.f32 |
| 4 890× | accelerator-lowering-fma.f64 |
| 4 100× | *-lowering-*.f32 |
| 4 100× | *-lowering-*.f64 |
| 2 122× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 52 | 21 |
| 2 | 470 | 21 |
| 3 | 5109 | 21 |
| 0 | 8362 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (+ (* (* x x) -1/24) 1/2)) 0) |
(* x x) |
(+ (* (* x x) -1/24) 1/2) |
| Outputs |
|---|
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/191102976 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/2641807540224 binary64) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/191102976 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/110592 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal -1/8 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/191102976 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/191102976 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 8 184× | accelerator-lowering-fma.f32 |
| 8 184× | accelerator-lowering-fma.f64 |
| 5 610× | *-lowering-*.f32 |
| 5 610× | *-lowering-*.f64 |
| 2 714× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 224 |
| 1 | 39 | 224 |
| 2 | 78 | 224 |
| 3 | 155 | 224 |
| 4 | 302 | 224 |
| 5 | 611 | 224 |
| 6 | 2219 | 224 |
| 7 | 3023 | 224 |
| 8 | 3473 | 224 |
| 9 | 4001 | 224 |
| 10 | 4789 | 224 |
| 11 | 6289 | 224 |
| 12 | 6618 | 224 |
| 13 | 6809 | 224 |
| 14 | 6973 | 224 |
| 15 | 7131 | 224 |
| 16 | 7289 | 224 |
| 0 | 8073 | 206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
Compiled 22 040 to 1 025 computations (95.3% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 1 | 551 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 2 | 3 |
| Total | 552 | 3 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) | |
| ✓ | 99.8% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | 54.8% | #s(literal 0 binary64) |
Compiled 121 to 44 computations (63.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/40320 binary64) #s(literal 0 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
3 calls:
| 5.0ms | x |
| 3.0ms | (cos.f64 x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 100.0% | 1 | (cos.f64 x) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 15 | 16 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 0 binary64) |
| 32 720× | accelerator-lowering-fma.f32 |
| 32 720× | accelerator-lowering-fma.f64 |
| 16 184× | accelerator-lowering-fma.f32 |
| 16 184× | accelerator-lowering-fma.f64 |
| 4 208× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 121 |
| 1 | 232 | 121 |
| 2 | 2491 | 121 |
| 0 | 8502 | 106 |
| 0 | 41 | 144 |
| 1 | 101 | 144 |
| 2 | 246 | 144 |
| 3 | 589 | 144 |
| 4 | 1230 | 144 |
| 5 | 1905 | 144 |
| 6 | 2165 | 144 |
| 7 | 2814 | 144 |
| 8 | 4054 | 144 |
| 9 | 5622 | 144 |
| 10 | 6523 | 144 |
| 11 | 6804 | 144 |
| 12 | 6843 | 144 |
| 13 | 6843 | 144 |
| 14 | 7276 | 144 |
| 15 | 7552 | 144 |
| 16 | 7593 | 144 |
| 17 | 7595 | 144 |
| 18 | 7595 | 144 |
| 19 | 7595 | 144 |
| 20 | 7595 | 144 |
| 21 | 7605 | 144 |
| 22 | 7605 | 144 |
| 23 | 7605 | 144 |
| 0 | 8510 | 132 |
| 0 | 91 | 1076 |
| 1 | 233 | 1076 |
| 2 | 610 | 1076 |
| 3 | 1764 | 1076 |
| 4 | 4843 | 1068 |
| 0 | 8446 | 1014 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 49 to 32 computations (34.7% saved)
(abs x)
Compiled 110 to 70 computations (36.4% saved)
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