
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.6% | 50.4% | 0% | 0% | 0% | 2 |
| 50% | 24.8% | 24.8% | 50.4% | 0% | 0% | 0% | 3 |
| 75% | 37.2% | 12.4% | 50.4% | 0% | 0% | 0% | 4 |
| 87.5% | 43.4% | 6.2% | 50.4% | 0% | 0% | 0% | 5 |
| 93.8% | 46.5% | 3.1% | 50.4% | 0% | 0% | 0% | 6 |
| 96.9% | 48.1% | 1.6% | 50.4% | 0% | 0% | 0% | 7 |
| 98.4% | 48.8% | 0.8% | 50.4% | 0% | 0% | 0% | 8 |
| 99.2% | 49.2% | 0.4% | 50.4% | 0% | 0% | 0% | 9 |
| 99.6% | 49.4% | 0.2% | 50.4% | 0% | 0% | 0% | 10 |
| 99.8% | 49.5% | 0.1% | 50.4% | 0% | 0% | 0% | 11 |
| 99.9% | 49.6% | 0% | 50.4% | 0% | 0% | 0% | 12 |
Compiled 12 to 9 computations (25% saved)
ival-cos: 1.0ms (42.4% of total)...c/correct-round.rkt:119:19: 1.0ms (42.4% of total)ival-sub: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)| 1.5s | 8223× | 1 | valid |
| 3.0ms | 33× | 0 | valid |
ival-cos: 365.0ms (35.1% of total)...c/correct-round.rkt:119:19: 254.0ms (24.4% of total)backward-pass: 134.0ms (12.9% of total)ival-<=: 131.0ms (12.6% of total)ival-sub: 129.0ms (12.4% of total)ival-and: 17.0ms (1.6% of total)const: 11.0ms (1.1% of total)| 2× | egg-herbie |
| 52× | fmsub-define |
| 48× | fnmsub-define |
| 48× | fnmadd-define |
| 42× | sum3-define |
| 32× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 17 | 12 |
| 2 | 36 | 12 |
| 3 | 57 | 12 |
| 4 | 114 | 12 |
| 5 | 177 | 12 |
| 6 | 220 | 12 |
| 7 | 229 | 12 |
| 0 | 4 | 4 |
| 1 | 8 | 4 |
| 2 | 12 | 4 |
| 3 | 18 | 4 |
| 4 | 26 | 4 |
| 5 | 39 | 4 |
| 6 | 56 | 4 |
| 7 | 70 | 4 |
| 8 | 82 | 4 |
| 9 | 83 | 4 |
| 0 | 83 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- 1 (cos x)) |
| Outputs |
|---|
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Inputs |
|---|
(- 1 (cos x)) |
(- 1 (cos (neg x))) |
(neg (- 1 (cos (neg x)))) |
| Outputs |
|---|
(- 1 (cos x)) |
(- 1 (cos (neg x))) |
(- 1 (cos x)) |
(neg (- 1 (cos (neg x)))) |
(+ (cos x) -1) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 77.0ms | 510× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 25 to 14 computations (44% saved)
ival-cos: 18.0ms (49.5% of total)backward-pass: 10.0ms (27.5% of total)ival-sub: 7.0ms (19.2% of total)const: 1.0ms (2.7% of total)Compiled 5 to 4 computations (20% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.8% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 32× | sum3-define |
| 24× | +-lowering-+.f64 |
| 24× | +-lowering-+.f32 |
| 18× | --lowering--.f32 |
| 18× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 8 | 8 |
| 2 | 12 | 8 |
| 3 | 18 | 8 |
| 4 | 26 | 8 |
| 5 | 39 | 8 |
| 6 | 56 | 8 |
| 7 | 70 | 8 |
| 8 | 82 | 8 |
| 9 | 83 | 8 |
| 0 | 83 | 8 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (cos x)) |
1 |
(cos x) |
x |
| Outputs |
|---|
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 53.8% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 52.0ms | 255× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 10 to 5 computations (50% saved)
ival-cos: 9.0ms (53.9% of total)backward-pass: 4.0ms (23.9% of total)ival-sub: 3.0ms (18% of total)const: 1.0ms (6% of total)| Inputs |
|---|
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- 1 (cos x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 0.0ms | x | @ | -inf | (- 1 (cos x)) |
| 0.0ms | x | @ | inf | (- 1 (cos x)) |
| 0.0ms | x | @ | inf | (cos x) |
| 1× | batch-egg-rewrite |
| 3692× | *-lowering-*.f32 |
| 3692× | *-lowering-*.f64 |
| 2386× | /-lowering-/.f32 |
| 2386× | /-lowering-/.f64 |
| 1832× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 21 | 6 |
| 2 | 143 | 6 |
| 3 | 1225 | 6 |
| 0 | 9463 | 6 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cos x)) |
(cos x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (cos.f64 x) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (cos.f64 x)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (cos.f64 x) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (cos.f64 x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 2004× | *-lowering-*.f32 |
| 2004× | *-lowering-*.f64 |
| 1558× | fma-lowering-fma.f32 |
| 1558× | fma-lowering-fma.f64 |
| 1502× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 140 |
| 1 | 109 | 116 |
| 2 | 303 | 116 |
| 3 | 800 | 116 |
| 4 | 1851 | 116 |
| 5 | 2818 | 116 |
| 6 | 3365 | 116 |
| 7 | 4402 | 116 |
| 8 | 7643 | 116 |
| 0 | 8048 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 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 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 6196 to 516 computations (91.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 4 | 179 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 176 | 4 | 180 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ▶ | 100.0% | (*.f64 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 1/720 binary64))))))) |
| ▶ | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
| ▶ | 99.6% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
Compiled 40 to 26 computations (35% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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 1/720 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 1/720 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 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 1/720 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| 590× | fma-define |
| 408× | fma-lowering-fma.f32 |
| 408× | fma-lowering-fma.f64 |
| 242× | *-lowering-*.f32 |
| 242× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 105 |
| 1 | 56 | 94 |
| 2 | 177 | 94 |
| 3 | 387 | 94 |
| 4 | 586 | 94 |
| 5 | 661 | 94 |
| 6 | 667 | 94 |
| 0 | 667 | 94 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/2 (* x x)) |
1/2 |
(* x x) |
x |
(* x (* x (+ 1/2 (* (* x x) -1/24)))) |
x |
(* x (+ 1/2 (* (* x x) -1/24))) |
(+ 1/2 (* (* x x) -1/24)) |
1/2 |
(* (* x x) -1/24) |
(* x x) |
-1/24 |
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))) |
x |
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))) |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
1/2 |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(* x x) |
(+ -1/24 (* (* x x) 1/720)) |
-1/24 |
(* (* x x) 1/720) |
1/720 |
(- 1 1) |
1 |
| Outputs |
|---|
(* 1/2 (* x x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (+ 1/2 (* (* x x) -1/24)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
x |
(* x (+ 1/2 (* (* x x) -1/24))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 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 x) |
(*.f64 x x) |
-1/24 |
#s(literal -1/24 binary64) |
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) |
x |
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ -1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
-1/24 |
#s(literal -1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
1/720 |
#s(literal 1/720 binary64) |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 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 1/720 binary64))))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| 149.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 129 to 19 computations (85.3% saved)
ival-mult: 47.0ms (52.8% of total)...c/correct-round.rkt:119:19: 37.0ms (41.6% of total)ival-add: 4.0ms (4.5% of total)ival-sub: 1.0ms (1.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/2 (* x x))> |
#<alt (* x x)> |
#<alt (* x (* x (+ 1/2 (* (* x x) -1/24))))> |
#<alt (* x (+ 1/2 (* (* x x) -1/24)))> |
#<alt (+ 1/2 (* (* x x) -1/24))> |
#<alt (* (* x x) -1/24)> |
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))> |
#<alt (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))> |
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))> |
#<alt (* (* x x) (+ -1/24 (* (* x x) 1/720)))> |
#<alt (- 1 1)> |
#<alt (* (* x x) 1/720)> |
#<alt (+ -1/24 (* (* x x) 1/720))> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (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 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 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) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt -1/24> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | 0 | (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))) |
| 1.0ms | x | @ | 0 | (* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))) |
| 0.0ms | x | @ | 0 | (* x (* x (+ 1/2 (* (* x x) -1/24)))) |
| 0.0ms | x | @ | 0 | (* 1/2 (* x x)) |
| 0.0ms | x | @ | inf | (* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))) |
| 1× | batch-egg-rewrite |
| 5496× | *-lowering-*.f32 |
| 5496× | *-lowering-*.f64 |
| 3016× | /-lowering-/.f32 |
| 3016× | /-lowering-/.f64 |
| 1596× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 91 |
| 1 | 97 | 80 |
| 2 | 778 | 80 |
| 0 | 8358 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* x x)) |
(* x x) |
(* x (* x (+ 1/2 (* (* x x) -1/24)))) |
(* x (+ 1/2 (* (* x x) -1/24))) |
(+ 1/2 (* (* x x) -1/24)) |
(* (* x x) -1/24) |
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))) |
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))) |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(- 1 1) |
(* (* x x) 1/720) |
(+ -1/24 (* (* x x) 1/720)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/13824 binary64) (*.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 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 0 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)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (*.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) (*.f64 #s(literal 1/139314069504000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))) #s(literal -1/13824 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/191102976 binary64) (*.f64 #s(literal 1/139314069504000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))) (+.f64 #s(literal -1/13824 binary64) (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/191102976 binary64) (*.f64 #s(literal 1/139314069504000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) #s(literal 1/576 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (+.f64 #s(literal 1/576 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 (+.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/17280 binary64) (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))) #s(literal -1/576 binary64)))) |
(*.f64 (+.f64 #s(literal -1/576 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))) (+.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64)))) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))))) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))) #s(literal 1/576 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (+.f64 #s(literal -1/13824 binary64) (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))) |
| 1× | egg-herbie |
| 3642× | *-lowering-*.f32 |
| 3642× | *-lowering-*.f64 |
| 1464× | /-lowering-/.f32 |
| 1464× | /-lowering-/.f64 |
| 1438× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1077 |
| 1 | 165 | 880 |
| 2 | 442 | 880 |
| 3 | 1346 | 858 |
| 4 | 4491 | 858 |
| 0 | 8977 | 858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* 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 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* -1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* -1/24 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -1/24 binary64))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 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 1/720 binary64)))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 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 1/720 binary64)))))))) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x 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 (*.f64 x x) #s(literal -1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* 1/720 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/720 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) |
(*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* -1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* 1/720 (pow x 2)) 1/24) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(- (* 1/720 (pow x 2)) 1/24) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(- (* 1/720 (pow x 2)) 1/24) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
Compiled 24396 to 2048 computations (91.6% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 3 | 696 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 695 | 5 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
| ▶ | 99.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | 100.0% | (*.f64 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 1/720 binary64))))))) |
| ✓ | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
| ▶ | 52.8% | #s(literal 0 binary64) |
Compiled 50 to 33 computations (34% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| 76× | *-lowering-*.f32 |
| 76× | *-lowering-*.f64 |
| 64× | fma-define |
| 48× | fma-lowering-fma.f32 |
| 48× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 22 | 35 |
| 2 | 38 | 35 |
| 3 | 68 | 35 |
| 4 | 109 | 35 |
| 5 | 117 | 35 |
| 6 | 118 | 35 |
| 0 | 118 | 35 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
0 |
(* (* 1/2 x) x) |
(* 1/2 x) |
1/2 |
x |
(* (+ 1/2 (* x (* x -1/24))) (* x x)) |
(+ 1/2 (* x (* x -1/24))) |
1/2 |
(* x (* x -1/24)) |
x |
(* x -1/24) |
-1/24 |
(* x x) |
| Outputs |
|---|
0 |
#s(literal 0 binary64) |
(* (* 1/2 x) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(* (+ 1/2 (* x (* x -1/24))) (* x x)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
(+ 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 |
(* x -1/24) |
(*.f64 x #s(literal -1/24 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
(* x x) |
(*.f64 x x) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/24 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -1/24 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| 46.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-mult: 11.0ms (59.3% of total)...c/correct-round.rkt:119:19: 5.0ms (27% of total)ival-add: 1.0ms (5.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* 1/2 x) x)> |
#<alt (* 1/2 x)> |
#<alt (* (+ 1/2 (* x (* x -1/24))) (* x x))> |
#<alt (+ 1/2 (* x (* x -1/24)))> |
#<alt (* x (* x -1/24))> |
#<alt (* x -1/24)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 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 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))> |
#<alt (* -1/24 (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 (* -1/24 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 (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)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* x -1/24) |
| 0.0ms | x | @ | -inf | (* 1/2 x) |
| 0.0ms | x | @ | 0 | (* 1/2 x) |
| 0.0ms | x | @ | inf | (* x -1/24) |
| 0.0ms | x | @ | -inf | (* (* 1/2 x) x) |
| 1× | batch-egg-rewrite |
| 3036× | *-lowering-*.f32 |
| 3036× | *-lowering-*.f64 |
| 2316× | /-lowering-/.f32 |
| 2316× | /-lowering-/.f64 |
| 2242× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 38 | 29 |
| 2 | 223 | 29 |
| 3 | 2066 | 29 |
| 0 | 8306 | 29 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* 1/2 x) x) |
(* 1/2 x) |
(* (+ 1/2 (* x (* x -1/24))) (* x x)) |
(+ 1/2 (* x (* x -1/24))) |
(* x (* x -1/24)) |
(* x -1/24) |
(* x x) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(/.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 x (*.f64 x (+.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 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))))) |
(/.f64 (*.f64 x (*.f64 x (+.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 1/4 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 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 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 x (*.f64 x (+.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) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))) (+.f64 (neg.f64 (*.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)))) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (+.f64 (neg.f64 (*.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)))) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (*.f64 x x)) (+.f64 (neg.f64 (*.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)))) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))))) (neg.f64 (+.f64 (neg.f64 (*.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)))) #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/2641807540224 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))))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/8 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/191102976 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))))))) (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/191102976 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.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 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.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)))) #s(literal -1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(*.f64 (/.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 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) |
(*.f64 (/.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))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(*.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 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal -1/2 binary64)) (*.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))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.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 x (*.f64 x #s(literal -1/24 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))))) |
(*.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 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.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)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 (pow.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 1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/2641807540224 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/8 binary64)))))) |
(*.f64 (pow.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 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/191102976 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/191102976 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/24 binary64))) |
(*.f64 x (pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64))) |
(*.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal -1/24 binary64))))) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/24 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal -1/24 binary64)))) |
(*.f64 (pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -1/24 binary64)))) x) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/24 binary64))) (*.f64 x x)) |
(*.f64 x #s(literal -1/24 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
| 1× | egg-herbie |
| 4280× | *-lowering-*.f32 |
| 4280× | *-lowering-*.f64 |
| 2122× | /-lowering-/.f32 |
| 2122× | /-lowering-/.f64 |
| 1986× | cube-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 416 |
| 1 | 46 | 332 |
| 2 | 90 | 332 |
| 3 | 173 | 332 |
| 4 | 367 | 332 |
| 5 | 708 | 332 |
| 6 | 2353 | 332 |
| 7 | 3481 | 332 |
| 8 | 4186 | 332 |
| 9 | 4721 | 332 |
| 10 | 5669 | 332 |
| 11 | 7221 | 332 |
| 12 | 7585 | 332 |
| 13 | 7791 | 332 |
| 14 | 7966 | 332 |
| 0 | 8104 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 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 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (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)) |
(* -1/24 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) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 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 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* -1/24 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -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) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.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) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(+.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)) |
(*.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)) |
(*.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 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(* -1/24 x) |
(*.f64 x #s(literal -1/24 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 8968 to 701 computations (92.2% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 291 | 0 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 291 | 5 | 296 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
| ✓ | 99.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| ✓ | 100.0% | (*.f64 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 1/720 binary64))))))) |
| ✓ | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
| ✓ | 52.8% | #s(literal 0 binary64) |
Compiled 108 to 60 computations (44.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
(*.f64 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 1/720 binary64))))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 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 1/720 binary64))))))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (cos.f64 x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 100.0% | 1 | (cos.f64 x) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 32 | 39 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 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 1/720 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 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 1/720 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 0 binary64) |
| 5496× | *-lowering-*.f32 |
| 5496× | *-lowering-*.f64 |
| 3016× | /-lowering-/.f32 |
| 3016× | /-lowering-/.f64 |
| 2004× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 91 |
| 1 | 97 | 80 |
| 2 | 778 | 80 |
| 0 | 8358 | 80 |
| 0 | 41 | 140 |
| 1 | 109 | 116 |
| 2 | 303 | 116 |
| 3 | 800 | 116 |
| 4 | 1851 | 116 |
| 5 | 2818 | 116 |
| 6 | 3365 | 116 |
| 7 | 4402 | 116 |
| 8 | 7643 | 116 |
| 0 | 8048 | 116 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 94 to 55 computations (41.5% saved)
(abs x)
Compiled 184 to 104 computations (43.5% saved)
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