
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
ival-sin: 22.0ms (30.2% of total)ival-sub: 19.0ms (26.1% of total)ival-cos: 19.0ms (26.1% of total)ival-div: 9.0ms (12.4% of total)const: 3.0ms (4.1% of total)backward-pass: 1.0ms (1.4% of total)| 819.0ms | 1973× | 2 | valid |
| 585.0ms | 4193× | 0 | valid |
| 302.0ms | 2087× | 1 | valid |
| 2.0ms | 3× | 3 | valid |
ival-cos: 820.0ms (57.2% of total)ival-sin: 309.0ms (21.5% of total)ival-div: 118.0ms (8.2% of total)ival-sub: 92.0ms (6.4% of total)backward-pass: 79.0ms (5.5% of total)const: 17.0ms (1.2% of total)| 2× | egg-herbie |
| 640× | sum5-define |
| 524× | sum3-define |
| 502× | fnmadd-define |
| 430× | fnmadd-define |
| 398× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 13 |
| 1 | 38 | 13 |
| 2 | 79 | 12 |
| 3 | 184 | 12 |
| 4 | 493 | 12 |
| 5 | 1160 | 12 |
| 6 | 2161 | 12 |
| 0 | 6 | 4 |
| 1 | 16 | 4 |
| 2 | 23 | 4 |
| 3 | 35 | 4 |
| 4 | 59 | 4 |
| 5 | 90 | 4 |
| 6 | 152 | 4 |
| 7 | 264 | 4 |
| 8 | 633 | 4 |
| 9 | 1210 | 4 |
| 10 | 1691 | 4 |
| 11 | 1714 | 4 |
| 12 | 1722 | 4 |
| 13 | 1728 | 4 |
| 14 | 1736 | 4 |
| 15 | 1749 | 4 |
| 16 | 1757 | 4 |
| 17 | 1766 | 4 |
| 18 | 1767 | 4 |
| 0 | 1767 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
| Outputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
| Inputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos (neg x))) (sin (neg x))) |
(neg (/ (- 1 (cos (neg x))) (sin (neg x)))) |
| Outputs |
|---|
(/ (- 1 (cos x)) (sin x)) |
(tan (* x 1/2)) |
(/ (- 1 (cos (neg x))) (sin (neg x))) |
(tan (* x -1/2)) |
(neg (/ (- 1 (cos (neg x))) (sin (neg x)))) |
(tan (* x 1/2)) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 0 | - | 2 | (8.913035288634256e-160) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 65 | 1 | (3.808397184770728e+28) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 71.0ms | 138× | 2 | valid |
| 67.0ms | 264× | 0 | valid |
| 22.0ms | 110× | 1 | valid |
Compiled 46 to 20 computations (56.5% saved)
ival-cos: 62.0ms (66.4% of total)ival-sin: 12.0ms (12.8% of total)ival-div: 6.0ms (6.4% of total)ival-sub: 6.0ms (6.4% of total)backward-pass: 6.0ms (6.4% of total)const: 1.0ms (1.1% of total)Compiled 5 to 4 computations (20% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| 2× | /-lowering-/.f32 |
| 2× | tan-lowering-tan.f32 |
| 2× | /-lowering-/.f64 |
| 2× | tan-lowering-tan.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 9 |
| 0 | 4 | 9 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(tan (/ x 2)) |
(/ x 2) |
x |
2 |
| Outputs |
|---|
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| 21.0ms | 256× | 0 | valid |
Compiled 11 to 5 computations (54.5% saved)
ival-tan: 5.0ms (65.8% of total)ival-div: 2.0ms (26.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (tan (/ x 2))> |
#<alt (/ x 2)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 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 x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ x 2) |
| 0.0ms | x | @ | inf | (tan (/ x 2)) |
| 0.0ms | x | @ | -inf | (tan (/ x 2)) |
| 0.0ms | x | @ | 0 | (tan (/ x 2)) |
| 0.0ms | x | @ | -inf | (/ x 2) |
| 1× | batch-egg-rewrite |
| 2784× | *-lowering-*.f32 |
| 2784× | *-lowering-*.f64 |
| 2350× | /-lowering-/.f32 |
| 2350× | /-lowering-/.f64 |
| 1558× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 17 | 7 |
| 2 | 50 | 7 |
| 3 | 192 | 7 |
| 4 | 905 | 7 |
| 0 | 8152 | 7 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(tan (/ x 2)) |
(/ x 2) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (+.f64 (tan.f64 #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) x) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) x) |
(*.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x x)) x) |
| 1× | egg-herbie |
| 1708× | fma-define |
| 1312× | fma-lowering-fma.f32 |
| 1312× | fma-lowering-fma.f64 |
| 402× | *-lowering-*.f32 |
| 402× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 156 |
| 1 | 73 | 150 |
| 2 | 232 | 150 |
| 3 | 651 | 150 |
| 4 | 1240 | 150 |
| 5 | 1665 | 150 |
| 6 | 1823 | 150 |
| 7 | 1824 | 150 |
| 0 | 1824 | 150 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 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 x) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
Compiled 4560 to 895 computations (80.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 4 | 350 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 5 | 351 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ▶ | 51.2% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ▶ | 51.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ▶ | 50.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 57 to 37 computations (35.1% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| 1744× | fma-define |
| 1312× | fma-lowering-fma.f32 |
| 1312× | fma-lowering-fma.f64 |
| 402× | *-lowering-*.f32 |
| 402× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 191 |
| 1 | 80 | 171 |
| 2 | 277 | 171 |
| 3 | 704 | 171 |
| 4 | 1263 | 171 |
| 5 | 1689 | 171 |
| 6 | 1848 | 171 |
| 7 | 1849 | 171 |
| 0 | 1849 | 171 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 x) |
1/2 |
x |
(* x (+ 1/2 (* 1/24 (* x x)))) |
x |
(+ 1/2 (* 1/24 (* x x))) |
1/2 |
(* 1/24 (* x x)) |
1/24 |
(* x x) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))) |
1/2 |
(* (* x x) (+ 1/24 (* (* x x) 1/240))) |
(* x x) |
(+ 1/24 (* (* x x) 1/240)) |
1/24 |
(* (* x x) 1/240) |
1/240 |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))) |
1/2 |
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))) |
(* x x) |
(+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))) |
1/24 |
(* (* x x) (+ 1/240 (* (* x x) 17/40320))) |
(+ 1/240 (* (* x x) 17/40320)) |
1/240 |
(* (* x x) 17/40320) |
17/40320 |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(* x (+ 1/2 (* 1/24 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
x |
(+ 1/2 (* 1/24 (* x x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/24 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* x x) |
(*.f64 x x) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) 1/240))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/24 (* (* x x) 1/240)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) 1/240) |
(*.f64 (*.f64 x x) #s(literal 1/240 binary64)) |
1/240 |
#s(literal 1/240 binary64) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) |
x |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) (+ 1/240 (* (* x x) 17/40320))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) |
(+ 1/240 (* (* x x) 17/40320)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) |
1/240 |
#s(literal 1/240 binary64) |
(* (* x x) 17/40320) |
(*.f64 x (*.f64 x #s(literal 17/40320 binary64))) |
17/40320 |
#s(literal 17/40320 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| 67.0ms | 256× | 0 | valid |
Compiled 193 to 23 computations (88.1% saved)
ival-mult: 18.0ms (50.5% of total)...c/correct-round.rkt:119:19: 10.0ms (28.1% of total)ival-add: 7.0ms (19.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (* x x))))> |
#<alt (+ 1/2 (* 1/24 (* x x)))> |
#<alt (* 1/24 (* x x))> |
#<alt (* x x)> |
#<alt (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))))> |
#<alt (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))> |
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/240)))> |
#<alt (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))))> |
#<alt (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))> |
#<alt (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))> |
#<alt (* (* x x) 1/240)> |
#<alt (+ 1/24 (* (* x x) 1/240))> |
#<alt (* (* x x) 17/40320)> |
#<alt (* (* x x) (+ 1/240 (* (* x x) 17/40320)))> |
| Outputs |
|---|
#<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 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) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (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) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (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 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (* 1/240 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/240 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* 1/240 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/240 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/240 (pow x 2)))> |
#<alt (+ 1/24 (* 1/240 (pow x 2)))> |
#<alt (+ 1/24 (* 1/240 (pow x 2)))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* (* x x) (+ 1/240 (* (* x x) 17/40320))) |
| 1.0ms | x | @ | -inf | (* x (+ 1/2 (* 1/24 (* x x)))) |
| 1.0ms | x | @ | inf | (* x (+ 1/2 (* 1/24 (* x x)))) |
| 0.0ms | x | @ | 0 | (* x (+ 1/2 (* 1/24 (* x x)))) |
| 0.0ms | x | @ | inf | (* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))) |
| 1× | batch-egg-rewrite |
| 4102× | *-lowering-*.f32 |
| 4102× | *-lowering-*.f64 |
| 2910× | /-lowering-/.f32 |
| 2910× | /-lowering-/.f64 |
| 2156× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 151 |
| 1 | 155 | 134 |
| 2 | 1442 | 134 |
| 0 | 8142 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (* x x)))) |
(+ 1/2 (* 1/24 (* x x))) |
(* 1/24 (* x x)) |
(* x x) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/240)))) |
(* (* x x) (+ 1/24 (* (* x x) 1/240))) |
(* x (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))))) |
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320)))))) |
(* (* x x) (+ 1/24 (* (* x x) (+ 1/240 (* (* x x) 17/40320))))) |
(* (* x x) 1/240) |
(+ 1/24 (* (* x x) 1/240)) |
(* (* x x) 17/40320) |
(* (* x x) (+ 1/240 (* (* x x) 17/40320))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/110592 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
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(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 17/40320 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) x) x (*.f64 x (*.f64 x #s(literal 1/240 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64))))) (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824000 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64))))) (neg.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/65548320768000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824000 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) |
(*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) x) |
| 1× | egg-herbie |
| 2670× | *-lowering-*.f32 |
| 2670× | *-lowering-*.f64 |
| 1700× | fnmadd-define |
| 1390× | fma-lowering-fma.f32 |
| 1390× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1452 |
| 1 | 300 | 1367 |
| 2 | 928 | 1362 |
| 3 | 2756 | 1338 |
| 4 | 5675 | 1338 |
| 0 | 8059 | 1338 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 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) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (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) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (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) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(+ 1/24 (* 1/240 (pow x 2))) |
(+ 1/24 (* 1/240 (pow x 2))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
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(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* 17/40320 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* 17/40320 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
Compiled 19043 to 1508 computations (92.1% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 604 | 4 | 608 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 604 | 9 | 613 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 51.2% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 51.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 51.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.4% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.2% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ✓ | 51.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | 50.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 137 to 88 computations (35.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| 1948× | fma-define |
| 1312× | fma-lowering-fma.f32 |
| 1312× | fma-lowering-fma.f64 |
| 426× | sum3-define |
| 402× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 295 |
| 1 | 92 | 257 |
| 2 | 301 | 254 |
| 3 | 907 | 254 |
| 4 | 1839 | 254 |
| 5 | 2265 | 254 |
| 6 | 2310 | 254 |
| 0 | 2310 | 254 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
x |
(+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(+ 1/2 (* x (* x 1/24))) |
1/2 |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(* x x) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(+ 1/240 (* x (* x 17/40320))) |
1/240 |
(* x (* x 17/40320)) |
(* x 17/40320) |
17/40320 |
(+ (* x (* x (* x 1/24))) (* 1/2 x)) |
(* x (* x (* x 1/24))) |
x |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(* 1/2 x) |
1/2 |
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x)) |
(* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) |
(* x x) |
x |
(* x (+ 1/24 (* x (* x 1/240)))) |
(+ 1/24 (* x (* x 1/240))) |
1/24 |
(* x (* x 1/240)) |
(* x 1/240) |
1/240 |
(* 1/2 x) |
1/2 |
(+ (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* 1/2 x)) |
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) |
(+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
1/24 |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(* x x) |
x |
(+ 1/240 (* x (* x 17/40320))) |
1/240 |
(* x (* x 17/40320)) |
(* x 17/40320) |
17/40320 |
(* x (* x x)) |
(* 1/2 x) |
1/2 |
| Outputs |
|---|
(* x (+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) |
x |
(+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) |
(+ 1/2 (* x (* x 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
(+ 1/240 (* x (* x 17/40320))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) |
1/240 |
#s(literal 1/240 binary64) |
(* x (* x 17/40320)) |
(*.f64 x (*.f64 x #s(literal 17/40320 binary64))) |
(* x 17/40320) |
(*.f64 x #s(literal 17/40320 binary64)) |
17/40320 |
#s(literal 17/40320 binary64) |
(+ (* x (* x (* x 1/24))) (* 1/2 x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* x (* x (* x 1/24))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
x |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) |
(* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ 1/24 (* x (* x 1/240)))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))) |
(+ 1/24 (* x (* x 1/240))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* x (* x 1/240)) |
(*.f64 (*.f64 x x) #s(literal 1/240 binary64)) |
(* x 1/240) |
(*.f64 x #s(literal 1/240 binary64)) |
1/240 |
#s(literal 1/240 binary64) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* 1/2 x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) |
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (*.f64 x (*.f64 x x))) |
(+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/240 (* x (* x 17/40320))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) |
1/240 |
#s(literal 1/240 binary64) |
(* x (* x 17/40320)) |
(*.f64 x (*.f64 x #s(literal 17/40320 binary64))) |
(* x 17/40320) |
(*.f64 x #s(literal 17/40320 binary64)) |
17/40320 |
#s(literal 17/40320 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 17/40320 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/240 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 17/40320 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| 103.0ms | 256× | 0 | valid |
Compiled 307 to 30 computations (90.2% saved)
ival-mult: 30.0ms (58.8% of total)...c/correct-round.rkt:119:19: 12.0ms (23.5% of total)ival-add: 9.0ms (17.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))> |
#<alt (+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))> |
#<alt (+ 1/2 (* x (* x 1/24)))> |
#<alt (* x (* x 1/24))> |
#<alt (+ (* x (* x (* x 1/24))) (* 1/2 x))> |
#<alt (* x (* x (* x 1/24)))> |
#<alt (* x 1/24)> |
#<alt (+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x))> |
#<alt (* (* x x) (* x (+ 1/24 (* x (* x 1/240)))))> |
#<alt (* x x)> |
#<alt (* x (+ 1/24 (* x (* x 1/240))))> |
#<alt (+ (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* 1/2 x))> |
#<alt (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x)))> |
#<alt (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320)))))> |
#<alt (* (* x x) (+ 1/240 (* x (* x 17/40320))))> |
#<alt (* x 17/40320)> |
#<alt (* x (* x 1/240))> |
#<alt (* x 1/240)> |
#<alt (* x (* x x))> |
#<alt (* x (* x 17/40320))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<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) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<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) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<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 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/240 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* 1/240 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/240 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))> |
#<alt (* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/240 (pow x 2)))> |
#<alt (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))> |
#<alt (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 4))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 (pow x 2))> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (* 1/240 x)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* 17/40320 (pow x 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x 17/40320) |
| 0.0ms | x | @ | inf | (+ (* x (* x (* x 1/24))) (* 1/2 x)) |
| 0.0ms | x | @ | -inf | (* x 1/240) |
| 0.0ms | x | @ | -inf | (* x (* x (* x 1/24))) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | batch-egg-rewrite |
| 3786× | *-lowering-*.f32 |
| 3786× | *-lowering-*.f64 |
| 2478× | /-lowering-/.f32 |
| 2478× | /-lowering-/.f64 |
| 2394× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 200 |
| 1 | 190 | 168 |
| 2 | 1859 | 168 |
| 0 | 8489 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
(+ (+ 1/2 (* x (* x 1/24))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(+ 1/2 (* x (* x 1/24))) |
(* x (* x 1/24)) |
(+ (* x (* x (* x 1/24))) (* 1/2 x)) |
(* x (* x (* x 1/24))) |
(* x 1/24) |
(+ (* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) (* 1/2 x)) |
(* (* x x) (* x (+ 1/24 (* x (* x 1/240))))) |
(* x x) |
(* x (+ 1/24 (* x (* x 1/240)))) |
(+ (* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) (* 1/2 x)) |
(* (+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) (* x (* x x))) |
(+ 1/24 (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(* x 17/40320) |
(* x (* x 1/240)) |
(* x 1/240) |
(* x (* x x)) |
(* x (* x 17/40320)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) x)) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) x)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(fma.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 x #s(literal 1/2 binary64))) |
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(/.f64 (+.f64 (*.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64)))) (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/1625702400 binary64)))) (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/1625702400 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/240 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64))))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/1625702400 binary64))))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/1625702400 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (-.f64 (*.f64 #s(literal 1/57600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(*.f64 #s(literal 17/40320 binary64) x) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/240 binary64)) |
(*.f64 #s(literal 1/240 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/240 binary64)) x) |
(*.f64 x #s(literal 1/240 binary64)) |
(*.f64 #s(literal 1/240 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x #s(literal 17/40320 binary64))) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 17/40320 binary64)) x) |
| 1× | egg-herbie |
| 2754× | *-lowering-*.f32 |
| 2754× | *-lowering-*.f64 |
| 1700× | fnmadd-define |
| 1452× | fma-lowering-fma.f32 |
| 1452× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1808 |
| 1 | 320 | 1725 |
| 2 | 980 | 1715 |
| 3 | 2767 | 1678 |
| 4 | 6019 | 1678 |
| 0 | 8413 | 1678 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
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) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 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) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 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 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2)))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
(* 1/240 (pow x 3)) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 3)) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2)))) |
(* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 (pow x 2)) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(* 1/240 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
(* 17/40320 (pow x 2)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/240 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (*.f64 x (*.f64 x x))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x x)))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/240 (pow x 2))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* 17/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* 17/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* 17/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* 17/40320 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/240 binary64))) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
Compiled 37123 to 1889 computations (94.9% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 2 | 952 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 950 | 11 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.4% | (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 51.2% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 51.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 50.6% | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | 51.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| ▶ | 50.7% | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.4% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.2% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ✓ | 51.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | 50.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 263 to 137 computations (47.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 3200 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 3200 | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 256 | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| 3192× | *-lowering-*.f32 |
| 3192× | *-lowering-*.f64 |
| 2172× | +-lowering-+.f64 |
| 2172× | +-lowering-+.f32 |
| 1510× | fnmadd-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 560 |
| 1 | 156 | 475 |
| 2 | 678 | 452 |
| 3 | 3518 | 381 |
| 4 | 7254 | 380 |
| 0 | 8105 | 380 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
x |
(+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) |
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) |
1/8 |
(* (* x (* x x)) (* (* x (* x x)) 1/13824)) |
(* x (* x x)) |
(* x x) |
(* (* x (* x x)) 1/13824) |
1/13824 |
(/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)))) |
1 |
(+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))) |
1/4 |
(* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)) |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(- (* x (* x 1/24)) 1/2) |
1/2 |
(* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(+ 1/240 (* x (* x 17/40320))) |
1/240 |
(* x (* x 17/40320)) |
(* x 17/40320) |
17/40320 |
(* x (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))))) |
x |
(/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24))))) |
(- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) |
(* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) |
(* x x) |
(* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) |
(* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) |
(* x (* x x)) |
(+ 1/240 (* (* x x) 17/40320)) |
1/240 |
(* (* x x) 17/40320) |
17/40320 |
(* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24)))) |
(+ 1/2 (* x (* x 1/24))) |
1/2 |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))) |
(* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) |
| Outputs |
|---|
(* x (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) |
x |
(+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) |
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/8 |
#s(literal 1/8 binary64) |
(* (* x (* x x)) (* (* x (* x x)) 1/13824)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (* x (* x x)) 1/13824) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
1/13824 |
#s(literal 1/13824 binary64) |
(/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(- (* x (* x 1/24)) 1/2) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* (* x x) (+ 1/240 (* x (* x 17/40320)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) |
(+ 1/240 (* x (* x 17/40320))) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))) |
1/240 |
#s(literal 1/240 binary64) |
(* x (* x 17/40320)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* x 17/40320) |
(*.f64 x #s(literal 17/40320 binary64)) |
17/40320 |
#s(literal 17/40320 binary64) |
(* x (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
x |
(/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) #s(literal 1/24 binary64))))) |
(* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) |
(* x x) |
(*.f64 x x) |
(* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) |
(* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ 1/240 (* (* x x) 17/40320)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))) |
1/240 |
#s(literal 1/240 binary64) |
(* (* x x) 17/40320) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
17/40320 |
#s(literal 17/40320 binary64) |
(* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (* x (* x 1/24))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) #s(literal -1/24 binary64)))) |
(* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 81.3% | (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | accuracy | 70.7% | (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | accuracy | 62.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 17/40320 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
| ✓ | accuracy | 64.8% | (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) |
| 107.0ms | 256× | 0 | valid |
Compiled 643 to 41 computations (93.6% saved)
ival-mult: 36.0ms (55.6% of total)...c/correct-round.rkt:119:19: 13.0ms (20.1% of total)ival-add: 7.0ms (10.8% of total)ival-div: 4.0ms (6.2% of total)ival-sub: 3.0ms (4.6% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))))> |
#<alt (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))> |
#<alt (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)))))> |
#<alt (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))> |
#<alt (* x (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24))))))> |
#<alt (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))))> |
#<alt (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24)))))> |
#<alt (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24))))> |
#<alt (* (* x (* x x)) 1/13824)> |
#<alt (* x 1/24)> |
#<alt (* x 17/40320)> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<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) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 4> |
#<alt (+ 4 (* 1/3 (pow x 2)))> |
#<alt (+ 4 (* (pow x 2) (+ 1/3 (* -1/432 (pow x 4)))))> |
#<alt (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 4) (- (* -1/5184 (pow x 2)) 1/432)))))> |
#<alt (/ 576 (pow x 4))> |
#<alt (/ (+ 576 (* 6912 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 576 (* 6912 (/ 1 (pow x 2)))) (/ 995328 (pow x 6))) (pow x 4))> |
#<alt (/ (+ 576 (+ (* -1 (/ (+ 995328 (* 11943936 (/ 1 (pow x 2)))) (pow x 6))) (* 6912 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt (/ 576 (pow x 4))> |
#<alt (/ (+ 576 (* 6912 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 576 (* 6912 (/ 1 (pow x 2)))) (/ 995328 (pow x 6))) (pow x 4))> |
#<alt (/ (+ 576 (+ (* -1 (/ (+ 995328 (* 11943936 (/ 1 (pow x 2)))) (pow x 6))) (* 6912 (/ 1 (pow x 2))))) (pow x 4))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt -1/4> |
#<alt (- (* -1/24 (pow x 2)) 1/4)> |
#<alt (- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/24)) 1/4)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* 1/57600 (pow x 4)) 1/576)) 1/24)) 1/4)> |
#<alt (* 289/1625702400 (pow x 12))> |
#<alt (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))) (* 1/576 (/ 1 (pow x 8)))))> |
#<alt (* 289/1625702400 (pow x 12))> |
#<alt (* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 12) (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 12) (- (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))) (* 1/576 (/ 1 (pow x 8)))))> |
#<alt -1/2> |
#<alt (- (* -1/24 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (- (* 1/240 (pow x 2)) 1/24)) 1/2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) 1/24)) 1/2)> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<alt (* 1/13824 (pow x 3))> |
#<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 (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))) |
| 1.0ms | x | @ | inf | (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) |
| 0.0ms | x | @ | inf | (* x (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))))) |
| 0.0ms | x | @ | 0 | (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) |
| 0.0ms | x | @ | 0 | (* x (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
| 1× | batch-egg-rewrite |
| 4222× | *-lowering-*.f32 |
| 4222× | *-lowering-*.f64 |
| 1710× | /-lowering-/.f32 |
| 1710× | /-lowering-/.f64 |
| 1568× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 262 |
| 1 | 292 | 136 |
| 2 | 2782 | 134 |
| 0 | 8483 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320))))))) |
(+ (* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) (* (* x x) (* (* x x) (+ 1/240 (* x (* x 17/40320)))))) |
(* (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2))))) |
(/ 1 (+ 1/4 (* (* x (* x 1/24)) (- (* x (* x 1/24)) 1/2)))) |
(* x (/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))))) |
(/ (- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) (- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24))))) |
(- (* (* x x) (* (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))) (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320))))) (* (+ 1/2 (* x (* x 1/24))) (+ 1/2 (* x (* x 1/24))))) |
(- (* x (* (* x (* x x)) (+ 1/240 (* (* x x) 17/40320)))) (+ 1/2 (* x (* x 1/24)))) |
(* (* x (* x x)) 1/13824) |
(* x 1/24) |
(* x 17/40320) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) (*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))))) (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) x) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) x) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) |
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(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/1625702400 binary64)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/13824 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 #s(literal 1/13824 binary64) x) (*.f64 x x)) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(*.f64 #s(literal 17/40320 binary64) x) |
| 1× | egg-herbie |
| 2918× | *-lowering-*.f32 |
| 2918× | *-lowering-*.f64 |
| 2086× | sum3-define |
| 1862× | +-lowering-+.f64 |
| 1862× | +-lowering-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 1286 |
| 1 | 447 | 1217 |
| 2 | 1284 | 1205 |
| 3 | 3507 | 1189 |
| 4 | 6863 | 1189 |
| 0 | 8320 | 1189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
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) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
4 |
(+ 4 (* 1/3 (pow x 2))) |
(+ 4 (* (pow x 2) (+ 1/3 (* -1/432 (pow x 4))))) |
(+ 4 (* (pow x 2) (+ 1/3 (* (pow x 4) (- (* -1/5184 (pow x 2)) 1/432))))) |
(/ 576 (pow x 4)) |
(/ (+ 576 (* 6912 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 576 (* 6912 (/ 1 (pow x 2)))) (/ 995328 (pow x 6))) (pow x 4)) |
(/ (+ 576 (+ (* -1 (/ (+ 995328 (* 11943936 (/ 1 (pow x 2)))) (pow x 6))) (* 6912 (/ 1 (pow x 2))))) (pow x 4)) |
(/ 576 (pow x 4)) |
(/ (+ 576 (* 6912 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 576 (* 6912 (/ 1 (pow x 2)))) (/ 995328 (pow x 6))) (pow x 4)) |
(/ (+ 576 (+ (* -1 (/ (+ 995328 (* 11943936 (/ 1 (pow x 2)))) (pow x 6))) (* 6912 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
-1/4 |
(- (* -1/24 (pow x 2)) 1/4) |
(- (* (pow x 2) (- (* -1/576 (pow x 2)) 1/24)) 1/4) |
(- (* (pow x 2) (- (* (pow x 2) (- (* 1/57600 (pow x 4)) 1/576)) 1/24)) 1/4) |
(* 289/1625702400 (pow x 12)) |
(* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))) (* 1/576 (/ 1 (pow x 8))))) |
(* 289/1625702400 (pow x 12)) |
(* (pow x 12) (+ 289/1625702400 (* 17/4838400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (- (+ 289/1625702400 (+ (/ 1/57600 (pow x 4)) (* 17/4838400 (/ 1 (pow x 2))))) (* 1/576 (/ 1 (pow x 8))))) |
-1/2 |
(- (* -1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* 1/240 (pow x 2)) 1/24)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))) 1/24)) 1/2) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4)))) |
(* (pow x 6) (+ 17/40320 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4)))) |
(* (pow x 6) (+ 17/40320 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (* 1/240 (/ 1 (pow x 2)))))) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 1/13824 (pow x 3)) |
(* 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) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))) |
(* 17/40320 (pow x 6)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
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(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
Compiled 71835 to 1951 computations (97.3% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 758 | 4 | 762 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 9 | 9 |
| Total | 760 | 13 | 773 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.4% | (+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 51.2% | (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 51.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 49.5% | (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1/2 binary64))) | |
| 50.9% | (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/576 binary64))))) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) | |
| 50.7% | (*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) | |
| 50.1% | (*.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) | |
| ✓ | 51.4% | (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.4% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| ✓ | 51.2% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| ✓ | 51.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| ✓ | 50.9% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
Compiled 701 to 265 computations (62.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(*.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/576 binary64))))) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1/2 binary64))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
2 calls:
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(*.f64 x (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/576 binary64))))) #s(literal -1/4 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1/2 binary64))) |
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 44× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 103 |
| 1 | 77 | 103 |
| 1× | saturated |
| Inputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
| 4102× | *-lowering-*.f32 |
| 4102× | *-lowering-*.f64 |
| 2910× | /-lowering-/.f32 |
| 2910× | /-lowering-/.f64 |
| 2156× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 151 |
| 1 | 155 | 134 |
| 2 | 1442 | 134 |
| 0 | 8142 | 134 |
| 0 | 6 | 4 |
| 1 | 16 | 4 |
| 2 | 23 | 4 |
| 3 | 35 | 4 |
| 4 | 59 | 4 |
| 5 | 90 | 4 |
| 6 | 152 | 4 |
| 7 | 264 | 4 |
| 8 | 633 | 4 |
| 9 | 1210 | 4 |
| 10 | 1691 | 4 |
| 11 | 1714 | 4 |
| 12 | 1722 | 4 |
| 13 | 1728 | 4 |
| 14 | 1736 | 4 |
| 15 | 1749 | 4 |
| 16 | 1757 | 4 |
| 17 | 1766 | 4 |
| 18 | 1767 | 4 |
| 0 | 1767 | 4 |
| 0 | 26 | 156 |
| 1 | 73 | 150 |
| 2 | 232 | 150 |
| 3 | 651 | 150 |
| 4 | 1240 | 150 |
| 5 | 1665 | 150 |
| 6 | 1823 | 150 |
| 7 | 1824 | 150 |
| 0 | 1824 | 150 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 275 to 159 computations (42.2% saved)
(negabs x)
Compiled 294 to 154 computations (47.6% saved)
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