Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 2 |
| 50% | 6.4% | 6.4% | 87.2% | 0% | 0% | 0% | 3 |
| 57.1% | 6.4% | 4.8% | 87.2% | 0% | 1.6% | 0% | 4 |
| 69.2% | 7.2% | 3.2% | 87.2% | 0% | 2.4% | 0% | 5 |
| 75% | 7.2% | 2.4% | 87.2% | 0% | 3.2% | 0% | 6 |
| 82.6% | 7.6% | 1.6% | 87.2% | 0% | 3.6% | 0% | 7 |
| 86.4% | 7.6% | 1.2% | 87.2% | 0% | 4% | 0% | 8 |
| 90.7% | 7.8% | 0.8% | 87.2% | 0% | 4.2% | 0% | 9 |
| 92.6% | 7.8% | 0.6% | 87.2% | 0% | 4.4% | 0% | 10 |
| 95% | 7.9% | 0.4% | 87.2% | 0% | 4.5% | 0% | 11 |
| 96.3% | 8% | 0.3% | 87.2% | 0% | 4.5% | 0% | 12 |
Compiled 25 to 17 computations (32% saved)
| 627.0ms | 5915× | body | 256 | valid |
| 338.0ms | 1151× | body | 1024 | valid |
| 209.0ms | 1145× | body | 512 | valid |
| 16.0ms | 171× | body | 256 | invalid |
| 14.0ms | 45× | body | 2048 | valid |
| 2× | egg-herbie |
| 332× | fma-def |
| 150× | associate--r+ |
| 124× | associate-+l- |
| 108× | associate-+l+ |
| 96× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 24 | 46 |
| 2 | 38 | 46 |
| 3 | 66 | 46 |
| 4 | 103 | 46 |
| 5 | 219 | 46 |
| 6 | 570 | 46 |
| 7 | 713 | 46 |
| 8 | 908 | 46 |
| 9 | 944 | 46 |
| 10 | 954 | 46 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 182× | fma-def |
| 110× | associate--r+ |
| 76× | associate-+l- |
| 62× | distribute-lft-in |
| 60× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 15 | 23 |
| 2 | 23 | 23 |
| 3 | 37 | 23 |
| 4 | 57 | 23 |
| 5 | 105 | 23 |
| 6 | 271 | 23 |
| 7 | 353 | 23 |
| 8 | 440 | 23 |
| 9 | 529 | 23 |
| 10 | 577 | 23 |
| 11 | 581 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x x) eps) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| ✓ | 5.6b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 26 to 6 computations (76.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | x | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| 1× | batch-egg-rewrite |
| 924× | *-commutative |
| 868× | associate-*r/ |
| 656× | associate-*l/ |
| 648× | distribute-lft-in |
| 638× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 53 |
| 1 | 200 | 53 |
| 2 | 2841 | 53 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps)))))) |
| 1× | egg-herbie |
| 1136× | fma-def |
| 898× | associate-*r* |
| 678× | associate-*l* |
| 616× | associate-/l* |
| 558× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 15441 |
| 1 | 1874 | 14569 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1 x)))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(*.f64 -1 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
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(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (*.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps eps) 3)) (*.f64 (fma.f64 x x eps) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3))) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (neg.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 1 (fma.f64 x x eps))) (+.f64 (pow.f64 x 4) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps eps) 3)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) 1) (fma.f64 x x eps)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (fma.f64 x x eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(pow.f64 (-.f64 (*.f64 x x) eps) 1) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) |
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps))) |
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 x x (neg.f64 eps)) |
(fma.f64 1 (*.f64 x x) (neg.f64 eps)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x) |
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6))))) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2) (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2) (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) 1/16))))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 -1/2 (/.f64 eps x) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x)) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)) |
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x))) |
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x |
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(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3))) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (pow.f64 x 4) (*.f64 eps (neg.f64 (fma.f64 x x eps))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (pow.f64 x 4) (*.f64 eps (neg.f64 (fma.f64 x x eps))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (neg.f64 (fma.f64 x x eps))) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (fma.f64 x x eps))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 4)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 4)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 1 (fma.f64 x x eps))) (+.f64 (pow.f64 x 4) (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (*.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps)))) |
(/.f64 (*.f64 (fma.f64 eps eps (pow.f64 x 4)) (-.f64 (*.f64 x x) eps)) (fma.f64 eps eps (pow.f64 x 4))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps eps) 3)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 eps 6)) (*.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 8) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (pow.f64 eps 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (fma.f64 x x eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (pow.f64 x 4)) (pow.f64 x 8))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))) |
(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (*.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (+.f64 (pow.f64 eps 3) (pow.f64 x 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (+.f64 (pow.f64 eps 3) (pow.f64 x 6))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (*.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (+.f64 (pow.f64 x 12) (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) (pow.f64 eps 6))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (+.f64 (pow.f64 x 12) (fma.f64 (pow.f64 eps 3) (pow.f64 x 6) (pow.f64 eps 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) 1) (fma.f64 x x eps)) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (fma.f64 x x eps))) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (fma.f64 x x eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(pow.f64 (-.f64 (*.f64 x x) eps) 1) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) |
(fabs.f64 (-.f64 (*.f64 x x) eps)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3) |
(-.f64 (*.f64 x x) eps) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps)))) |
(-.f64 (*.f64 x x) eps) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) |
(fabs.f64 (-.f64 (*.f64 x x) eps)) |
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (*.f64 x x) eps) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3)) |
(-.f64 (*.f64 x x) eps) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
(fma.f64 x x (neg.f64 eps)) |
(-.f64 (*.f64 x x) eps) |
(fma.f64 1 (*.f64 x x) (neg.f64 eps)) |
(-.f64 (*.f64 x x) eps) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps)) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) eps) |
Compiled 10455 to 3934 computations (62.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 9 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 412 | 10 | 422 |
| Status | Error | Program |
|---|---|---|
| ▶ | 36.5b | (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
| ▶ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 50.6b | (/.f64 (*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) | |
| 59.7b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 27.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 29.9b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 61.3b | (-.f64 x x) | |
| 0.4b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) | |
| ▶ | 61.7b | (*.f64 x 2) |
| ▶ | 33.0b | (*.f64 1/2 (/.f64 eps x)) |
Compiled 216 to 146 computations (32.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 42 to 12 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | eps | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1368× | associate-/r* |
| 1134× | *-commutative |
| 988× | associate-/l* |
| 822× | associate-/r/ |
| 532× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 274 | 52 |
| 2 | 3746 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (+.f64 x 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egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))) |
| 1× | egg-herbie |
| 1238× | associate-+r+ |
| 976× | +-commutative |
| 732× | times-frac |
| 680× | associate-/r* |
| 622× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 9289 |
| 1 | 1460 | 8639 |
| 2 | 6882 | 8639 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
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(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (*.f64 1 (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 1 (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 (+.f64 x x))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2)) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 eps (/.f64 (pow.f64 x 5) (*.f64 -1/8 (*.f64 eps eps)))))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 eps 3) -1/8) (pow.f64 x 5)) (*.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) 1/2))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) 1/2)))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
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(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) |
(fabs.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x) |
(+.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 13 to 6 computations (53.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
Compiled 14 to 5 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 1.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | -inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | x | @ | inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 1× | batch-egg-rewrite |
| 1618× | add-sqr-sqrt |
| 1600× | *-un-lft-identity |
| 1494× | add-cube-cbrt |
| 1480× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 170 | 11 |
| 2 | 2321 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1 (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps) (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))) (-.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps)))) (*.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))))))) |
| 1× | egg-herbie |
| 1450× | associate-/l* |
| 1170× | associate-+l+ |
| 1072× | associate-*r* |
| 918× | associate-*l* |
| 880× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1230 |
| 1 | 265 | 1126 |
| 2 | 1025 | 1012 |
| 3 | 4596 | 1008 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1)) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1 (sqrt.f64 (neg.f64 eps)))) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 (neg.f64 eps)))) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps) (sqrt.f64 (neg.f64 eps)))) |
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x) |
(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(*.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))) (-.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps)))) (*.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 3) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 2)) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(fma.f64 1 x (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)) x) |
x |
(+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 1 (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 (neg.f64 eps)))) |
(fma.f64 -1 (pow.f64 eps 1/2) x) |
(-.f64 x (pow.f64 eps 1/2)) |
(+.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps) (sqrt.f64 (neg.f64 eps)))) |
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 eps) x) |
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 eps))) (cbrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (sqrt.f64 (neg.f64 eps)) (fma.f64 x x eps))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(*.f64 (+.f64 (pow.f64 eps 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (sqrt.f64 (neg.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (sqrt.f64 (neg.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps))))) (-.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (neg.f64 (sqrt.f64 (neg.f64 eps)))) (*.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) 3)) (fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) (-.f64 (neg.f64 (sqrt.f64 (neg.f64 eps))) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 eps)) 3)) (+.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (fma.f64 eps (sqrt.f64 (neg.f64 eps)) (pow.f64 x 3)) (fma.f64 -1 eps (*.f64 x (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (fma.f64 eps (sqrt.f64 (neg.f64 eps)) (pow.f64 x 3)) (-.f64 (*.f64 x (+.f64 x (sqrt.f64 (neg.f64 eps)))) eps)) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (sqrt.f64 (neg.f64 eps)) (fma.f64 x x eps))) |
(pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 2) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 3) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 2)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 3)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))) 1)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 1 x (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 3) |
| ✓ | 0.0b | (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
| ✓ | 26.9b | (/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
Compiled 42 to 21 computations (50% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (pow.f64 x 3) |
| 1.0ms | eps | @ | inf | (/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
| 0.0ms | eps | @ | 0 | (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
| 1× | batch-egg-rewrite |
| 1870× | associate-*l/ |
| 1782× | associate-/l* |
| 300× | distribute-rgt-in |
| 292× | add-sqr-sqrt |
| 286× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 1 | 303 | 65 |
| 2 | 3823 | 65 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(pow.f64 x 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 eps (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (pow.f64 x -3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) (/.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 x 3/2)) (/.f64 eps (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) (pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 2) (/.f64 (cbrt.f64 (*.f64 eps eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 eps x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (*.f64 (pow.f64 x -3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 eps (/.f64 (pow.f64 x 3/2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 eps x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 x x)) (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -3) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) (*.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 eps eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (sqrt.f64 eps))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 x 3) eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (cbrt.f64 (pow.f64 eps 4)))) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (pow.f64 x 3) eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (pow.f64 (/.f64 eps x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (/.f64 (neg.f64 (pow.f64 x 3)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 eps (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 eps (pow.f64 x 3/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))))) |
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| 1× | egg-herbie |
| 1340× | associate-*r/ |
| 978× | unswap-sqr |
| 960× | *-commutative |
| 852× | associate-*l/ |
| 506× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 4047 |
| 1 | 594 | 3835 |
| 2 | 2388 | 3759 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) 1) |
(*.f64 eps (*.f64 eps (pow.f64 x -3))) |
(*.f64 eps (*.f64 (pow.f64 x -3) eps)) |
(*.f64 (*.f64 eps eps) (pow.f64 x -3)) |
(*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1) |
(*.f64 (/.f64 eps x) (/.f64 eps (*.f64 x x))) |
(*.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 x 3))) |
(*.f64 (/.f64 eps (pow.f64 x 3/2)) (/.f64 eps (pow.f64 x 3/2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) (pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 2)) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 2) (/.f64 (cbrt.f64 (*.f64 eps eps)) x)) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x -3))) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 eps x) 2)) |
(*.f64 (pow.f64 x -3) (*.f64 eps eps)) |
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (neg.f64 (pow.f64 x 3)))) |
(*.f64 (/.f64 eps 1) (*.f64 (pow.f64 x -3) eps)) |
(*.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 eps (/.f64 (pow.f64 x 3/2) eps))) |
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 eps x) eps)) |
(*.f64 (/.f64 eps (*.f64 x x)) (/.f64 eps x)) |
(*.f64 (*.f64 (pow.f64 x -3) eps) eps) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) (*.f64 eps (neg.f64 eps))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 eps eps)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3)) (cbrt.f64 (*.f64 eps eps))) |
(*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 x 3) eps)) (sqrt.f64 eps)) |
(*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) (neg.f64 eps)) |
(*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (cbrt.f64 (pow.f64 eps 4)))) (cbrt.f64 (*.f64 eps eps))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (pow.f64 x 3) eps)) (cbrt.f64 eps)) |
(pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1) |
(pow.f64 (/.f64 eps (pow.f64 x 3/2)) 2) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 3) 1/3) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 eps x) 2)) -1) |
(neg.f64 (/.f64 eps (/.f64 (neg.f64 (pow.f64 x 3)) eps))) |
(sqrt.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (pow.f64 x -3))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (pow.f64 x 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 eps (pow.f64 x 3/2))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 eps (pow.f64 x 3/2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) |
(+.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) (-.f64 1 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))) 1) |
(*.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 1) |
(*.f64 1 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (sqrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 2) (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (*.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) (pow.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (-.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (*.f64 1/4 (pow.f64 (/.f64 eps x) 2))) 1) (-.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) (pow.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) 3)) 1) (+.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (-.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))))) |
(pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(exp.f64 (log.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) |
(*.f64 x (*.f64 x x)) |
(*.f64 (pow.f64 x 3) 1) |
(*.f64 1 (pow.f64 x 3)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (*.f64 x x) 1) x) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(/.f64 (pow.f64 eps 2) (pow.f64 x 3)) |
(/.f64 (*.f64 eps eps) (pow.f64 x 3)) |
(*.f64 eps (/.f64 eps (pow.f64 x 3))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3)) |
(*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3)))) |
(*.f64 eps (/.f64 (*.f64 eps 1/8) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3)) |
(*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3)))) |
(*.f64 eps (/.f64 (*.f64 eps 1/8) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) |
(/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3)) |
(*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3)))) |
(*.f64 eps (/.f64 (*.f64 eps 1/8) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 2) (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (*.f64 1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (*.f64 (pow.f64 x -3) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))))) (*.f64 -1/4 (pow.f64 (/.f64 eps x) 2))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (*.f64 -1/2 (/.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (*.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (fma.f64 1/8 (*.f64 eps (*.f64 eps (pow.f64 x -3))) (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) -1/4 (*.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6))) (fma.f64 (/.f64 eps x) -1/2 (*.f64 (*.f64 eps eps) (*.f64 1/8 (pow.f64 x -3))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) (pow.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (-.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))))) |
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 eps x) 3)) (pow.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) 3)) (fma.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3) (*.f64 1/8 (pow.f64 (/.f64 eps x) 3))) (fma.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 (/.f64 1/2 (/.f64 x eps)) (*.f64 (pow.f64 x -3) (*.f64 (*.f64 eps eps) -1/8)))))) |
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 eps x) 3) (*.f64 (*.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3))) (-.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6))) (*.f64 (*.f64 eps (*.f64 eps (pow.f64 x -3))) (/.f64 1/16 (/.f64 x eps))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (*.f64 1/4 (pow.f64 (/.f64 eps x) 2))) 1) (-.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (*.f64 (pow.f64 x -3) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))))) (*.f64 -1/4 (pow.f64 (/.f64 eps x) 2))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (*.f64 -1/2 (/.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (*.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (fma.f64 1/8 (*.f64 eps (*.f64 eps (pow.f64 x -3))) (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) -1/4 (*.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6))) (fma.f64 (/.f64 eps x) -1/2 (*.f64 (*.f64 eps eps) (*.f64 1/8 (pow.f64 x -3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) (pow.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) 3)) 1) (+.f64 (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3))) (-.f64 (*.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (*.f64 (*.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x -3)) (*.f64 1/2 (/.f64 eps x)))))) |
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 eps x) 3)) (pow.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) 3)) (fma.f64 (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 x -3))))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3) (*.f64 1/8 (pow.f64 (/.f64 eps x) 3))) (fma.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 (/.f64 1/2 (/.f64 x eps)) (*.f64 (pow.f64 x -3) (*.f64 (*.f64 eps eps) -1/8)))))) |
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 eps x) 3) (*.f64 (*.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3))) (-.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 (*.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6))) (*.f64 (*.f64 eps (*.f64 eps (pow.f64 x -3))) (/.f64 1/16 (/.f64 x eps))))) |
(pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 1) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(pow.f64 (sqrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 2) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(pow.f64 (cbrt.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 3) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(pow.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 3) 1/3) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 2)) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(log.f64 (exp.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) 3)) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(expm1.f64 (log1p.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(exp.f64 (log.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) 1)) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (*.f64 eps (/.f64 eps (pow.f64 x 3))))) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) |
(pow.f64 x 3) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(*.f64 1 (pow.f64 x 3)) |
(pow.f64 x 3) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) 1) x) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 x 3) |
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(pow.f64 x 3) |
(sqrt.f64 (pow.f64 x 6)) |
(pow.f64 x 3) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3)) |
(pow.f64 x 3) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1)) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Compiled 16245 to 7322 computations (54.9% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 7 | 671 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 669 | 12 | 681 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.7b | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 27.5b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| ▶ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 33.1b | (/.f64 1/2 (/.f64 x eps)) | |
| ▶ | 59.7b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 27.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.9b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ▶ | 61.3b | (-.f64 x x) |
| 34.7b | (*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) | |
| ▶ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| ✓ | 33.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 207 to 136 computations (34.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 36 to 7 computations (80.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1420× | associate-*r/ |
| 1090× | *-commutative |
| 1034× | associate-*l/ |
| 930× | associate-/r* |
| 748× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 224 | 29 |
| 2 | 3277 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
| 1× | egg-herbie |
| 1056× | associate-/l* |
| 962× | times-frac |
| 958× | associate-*r/ |
| 742× | associate-/r* |
| 596× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 3129 |
| 1 | 560 | 2809 |
| 2 | 2070 | 2753 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1)) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (pow.f64 x 3))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (*.f64 x x) (*.f64 1 x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (/.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (sqrt.f64 -1) (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (sqrt.f64 -1)))) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (*.f64 x x) (*.f64 1 x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (pow.f64 x 3))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) -1/8)) (pow.f64 x 5)))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (/.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 3) -1/8)) (pow.f64 x 5))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 eps 4) 5/64) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) -1/8)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps eps)) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (+.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps eps)) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (+.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps) |
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 6 to 3 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.6b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
Compiled 29 to 13 computations (55.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | eps | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 1× | batch-egg-rewrite |
| 1564× | associate-*l/ |
| 1128× | associate-/r* |
| 1090× | *-commutative |
| 760× | associate-/l* |
| 746× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 212 | 21 |
| 2 | 3107 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1594× | associate--l+ |
| 1506× | associate--r+ |
| 840× | fma-def |
| 490× | associate-*r* |
| 480× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 8167 |
| 1 | 1138 | 7139 |
| 2 | 6143 | 7139 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 1/2) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) (neg.f64 x))) |
(+.f64 x (-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) x)) |
(+.f64 x (-.f64 (*.f64 (/.f64 eps x) 1/2) x)) |
(+.f64 x (-.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) x)) |
(+.f64 x (-.f64 (*.f64 (*.f64 -1/2 (/.f64 eps x)) -1) x)) |
(+.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) x)) |
(+.f64 x (-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) x)) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (+.f64 x (*.f64 (/.f64 eps x) 1/2))) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (*.f64 (/.f64 eps x) 1/2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3)) (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (neg.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (-.f64 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (+.f64 x (*.f64 (/.f64 eps x) 1/2))) (*.f64 x x)) 1) (-.f64 x (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) 1) (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (+.f64 x (*.f64 (/.f64 eps x) 1/2))) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (*.f64 (/.f64 eps x) 1/2)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) 1) (neg.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3)) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) 1) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) 1) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 3) |
(pow.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) |
(log.f64 (exp.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(cbrt.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(exp.f64 (log.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 1 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 1/2 (/.f64 eps x)) x) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps x) 0)) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (-.f64 x (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)) (*.f64 (/.f64 eps x) 0))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)) (-.f64 x (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 1/2) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (/.f64 eps x) 1/2) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (*.f64 -1/2 (/.f64 eps x)) -1) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (fma.f64 (-.f64 (*.f64 1/2 (/.f64 eps x)) x) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps x) 0)) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (-.f64 x (*.f64 (/.f64 eps x) 0))) |
(+.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1/2 (/.f64 eps x))) |
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(/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 eps x)) x) 3/2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (/.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (/.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4)) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 x x (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (*.f64 1/2 (/.f64 eps x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3)) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (*.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (*.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) 1) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) 1) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 3) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3) 1/3) |
(*.f64 1/2 (/.f64 eps x)) |
(sqrt.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2)) |
(fabs.f64 (*.f64 1/2 (/.f64 eps x))) |
(log.f64 (exp.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(cbrt.f64 (pow.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(exp.f64 (log.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 1 x (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 0.1b | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
Compiled 46 to 23 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1× | batch-egg-rewrite |
| 1692× | associate-/l* |
| 1262× | associate-/r/ |
| 816× | associate-/l/ |
| 278× | add-sqr-sqrt |
| 270× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 285 | 48 |
| 2 | 3981 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 802× | associate-+r+ |
| 788× | associate-+l+ |
| 744× | +-commutative |
| 672× | times-frac |
| 634× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 7807 |
| 1 | 1262 | 7395 |
| 2 | 6278 | 7395 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
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(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))))) |
(/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1) |
(/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (/.f64 1 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))))) |
(/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (neg.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 1 (neg.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 1 (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)) (*.f64 1 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3)) (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(exp.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 1 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(fma.f64 x -2 (/.f64 -8 (/.f64 eps (pow.f64 x 3)))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)) (*.f64 x -2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x)) (*.f64 1 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) |
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4)) (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 x x (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))) (fma.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) (pow.f64 x 3)) (pow.f64 x 6)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3)) (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4)) (*.f64 x (*.f64 x (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (-.f64 0 (*.f64 (/.f64 eps x) -1/2))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))) |
(pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 3) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(pow.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3) 1/3) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(fabs.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(log.f64 (exp.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(exp.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 1)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 1 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 0.2b | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
Compiled 49 to 12 computations (75.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | eps | @ | -inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | -inf | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 1× | batch-egg-rewrite |
| 1608× | associate-*r/ |
| 1284× | associate-*l/ |
| 712× | associate-/r* |
| 548× | associate-/l* |
| 296× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 259 | 58 |
| 2 | 3565 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 eps)) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (sqrt.f64 (cbrt.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
| 1× | egg-herbie |
| 964× | associate-+r+ |
| 940× | associate-+l+ |
| 822× | +-commutative |
| 800× | associate-/l* |
| 520× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 503 | 8892 |
| 1 | 1400 | 8334 |
| 2 | 6038 | 8316 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 eps 3)) (*.f64 -1/32 (pow.f64 eps 3))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 eps) (*.f64 1/8 eps))) (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))) |
(+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) 1) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(/.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 1) |
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps))) |
(/.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (cbrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 -1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) |
(/.f64 (sqrt.f64 (sqrt.f64 eps)) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (sqrt.f64 eps)))) |
(/.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (cbrt.f64 eps)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (sqrt.f64 (cbrt.f64 (*.f64 eps eps))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (neg.f64 eps)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 (cbrt.f64 (*.f64 eps eps)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 (cbrt.f64 (*.f64 eps eps))))) |
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 eps -1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 1 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))) |
(/.f64 (neg.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 1 (*.f64 eps -1)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps 1)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) (sqrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) -1) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (+.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) 1) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 1) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 eps) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))) |
(/.f64 (*.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 eps (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 eps (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
(/.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1) |
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
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(*.f64 x 2) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
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(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) |
(/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) |
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(/.f64 1/2 x) |
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(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) |
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(-.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)) (/.f64 1/2 x))) (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 7) -5/128))) |
(*.f64 2 (/.f64 x eps)) |
(/.f64 (*.f64 x 2) eps) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 (*.f64 x 2) eps) (/.f64 1/2 x)) |
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) |
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(/.f64 1/2 x) |
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(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) |
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(+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))) |
(fma.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7)) (+.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) (*.f64 1/16 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))) |
(fma.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)) (/.f64 1/2 x)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) |
(/.f64 eps (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) |
(/.f64 eps (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 2)) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (exp.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 (+.f64 eps 0))) |
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 36551 to 16562 computations (54.7% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1320 | 11 | 1331 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1322 | 21 | 1343 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.7b | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| ▶ | 60.5b | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 32.7b | (/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) | |
| 32.7b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ▶ | 27.5b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 59.7b | (/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) | |
| 33.1b | (/.f64 1/2 (/.f64 x eps)) | |
| ✓ | 59.7b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 27.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.9b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 61.3b | (-.f64 x x) |
| 54.6b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) | |
| 53.3b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) | |
| 34.7b | (*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) | |
| ▶ | 32.8b | (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
| ✓ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 33.1b | (*.f64 (/.f64 1/2 x) eps) | |
| ▶ | 60.5b | (*.f64 x -2) |
| ✓ | 33.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 421 to 284 computations (32.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
Compiled 21 to 6 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 0.0ms | x | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 0.0ms | x | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1× | batch-egg-rewrite |
| 1968× | add-sqr-sqrt |
| 1950× | *-un-lft-identity |
| 1824× | add-cube-cbrt |
| 1804× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 194 | 28 |
| 2 | 2827 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) 1) (/.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 (sqrt.f64 (neg.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 (neg.f64 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (neg.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (neg.f64 eps))))))) |
| 1× | egg-herbie |
| 1862× | associate-/l* |
| 1156× | associate-*r/ |
| 814× | unswap-sqr |
| 764× | associate-*l/ |
| 600× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 2778 |
| 1 | 541 | 2528 |
| 2 | 2538 | 2498 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps x) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) 1) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))) eps) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) 1) (/.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 (sqrt.f64 (neg.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) eps) -1) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(*.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 2)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(fma.f64 1 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 1 (sqrt.f64 (neg.f64 eps)) x) |
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (neg.f64 eps))) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 (neg.f64 eps))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
(/.f64 eps x) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (*.f64 -1 (sqrt.f64 -1)))) (/.f64 x -1))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x -1) (/.f64 x (sqrt.f64 -1))) x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (*.f64 -1 (sqrt.f64 -1)))) (/.f64 x -1))) (/.f64 (pow.f64 x 3) eps)) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x -1) (/.f64 x (sqrt.f64 -1))) x) (/.f64 (pow.f64 x 3) eps))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) |
(-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (neg.f64 eps))) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (-.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (sqrt.f64 (pow.f64 eps 5)) (/.f64 eps (/.f64 (pow.f64 x 3) (neg.f64 eps))))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) |
(-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (neg.f64 eps))) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (-.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 (pow.f64 eps 3)) x))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (sqrt.f64 (pow.f64 eps 5)) (/.f64 eps (/.f64 (pow.f64 x 3) (neg.f64 eps))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (sqrt.f64 (neg.f64 eps)) (*.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 eps (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) 1) (/.f64 (sqrt.f64 (neg.f64 eps)) (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 eps)) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (/.f64 (sqrt.f64 (neg.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 (neg.f64 eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) 1) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 1 (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (neg.f64 eps))) eps)) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 1) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 2) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 3) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3) 1/3) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 2)) |
(fabs.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))) 3)) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (neg.f64 eps)))) 1)) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 1 x (sqrt.f64 (neg.f64 eps))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 1 (sqrt.f64 (neg.f64 eps)) x) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x) |
(+.f64 x (pow.f64 eps 1/2)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (neg.f64 eps))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 (neg.f64 eps))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (neg.f64 eps))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
Compiled 26 to 14 computations (46.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 0.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 0.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| 1× | batch-egg-rewrite |
| 1404× | associate-/r/ |
| 1110× | associate-/l/ |
| 980× | *-commutative |
| 662× | unswap-sqr |
| 624× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 227 | 19 |
| 2 | 2966 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| Outputs |
|---|
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x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (*.f64 (/.f64 1 (*.f64 eps 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (/.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 -2 (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (/.f64 eps x) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))))) |
| 1× | egg-herbie |
| 1782× | distribute-lft-in |
| 1728× | distribute-rgt-in |
| 524× | distribute-lft-neg-in |
| 482× | distribute-rgt-neg-in |
| 464× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1908 |
| 1 | 827 | 1644 |
| 2 | 3664 | 1640 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(+.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) (*.f64 (*.f64 -2 (/.f64 x eps)) 0)) |
(+.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) (*.f64 0 (*.f64 -2 (/.f64 x eps)))) |
(+.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) 0) (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(+.f64 (*.f64 0 (*.f64 -2 (/.f64 x eps))) (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) 1) |
(*.f64 eps (*.f64 -2 (/.f64 x eps))) |
(*.f64 x (/.f64 eps (*.f64 eps -1/2))) |
(*.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 1) |
(*.f64 1 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (*.f64 eps (/.f64 x eps)) -2) |
(*.f64 (*.f64 -2 (/.f64 x eps)) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (neg.f64 eps) (*.f64 (/.f64 1 (*.f64 eps 1/2)) x)) |
(*.f64 (*.f64 (cbrt.f64 eps) (*.f64 -2 (/.f64 x eps))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 -2 (*.f64 eps (/.f64 x eps))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 eps eps) (/.f64 x -1/2)) |
(*.f64 (/.f64 eps -1/2) (/.f64 x eps)) |
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 eps (*.f64 eps -1/2)) x) |
(*.f64 (*.f64 (/.f64 1 (*.f64 eps 1/2)) x) (neg.f64 eps)) |
(*.f64 (*.f64 (sqrt.f64 eps) (/.f64 x eps)) (/.f64 (sqrt.f64 eps) -1/2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) eps) (/.f64 x -1/2))) |
(*.f64 (/.f64 (cbrt.f64 eps) (/.f64 eps x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2)) |
(*.f64 (/.f64 (sqrt.f64 eps) -1/2) (*.f64 (sqrt.f64 eps) (/.f64 x eps))) |
(*.f64 (*.f64 (sqrt.f64 eps) (*.f64 -2 (/.f64 x eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) x) (/.f64 (cbrt.f64 eps) -1/2)) |
(*.f64 (/.f64 (cbrt.f64 eps) -1/2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2) (/.f64 (cbrt.f64 eps) (/.f64 eps x))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 eps) eps) (/.f64 x -1/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps -1/2) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 eps (*.f64 eps 1/2)) (neg.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 eps x) -1/2) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 eps x) -1/2) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (/.f64 eps x) -1/2)) (cbrt.f64 eps)) |
(*.f64 (/.f64 (neg.f64 eps) (*.f64 eps 1/2)) x) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (pow.f64 eps 3)) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (neg.f64 (pow.f64 eps 3))) (*.f64 eps (neg.f64 eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (pow.f64 eps 3)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 eps (pow.f64 eps 3))) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (*.f64 eps (pow.f64 eps 3))) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3)) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (-.f64 (*.f64 eps (pow.f64 eps 3)) 0)) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (+.f64 0 (pow.f64 (*.f64 eps eps) 3))) (-.f64 (*.f64 eps (pow.f64 eps 3)) (*.f64 0 (*.f64 eps eps)))) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (-.f64 (pow.f64 (*.f64 eps eps) 3) 0)) (*.f64 eps (pow.f64 eps 3))) |
(*.f64 (/.f64 (/.f64 eps -1/2) eps) x) |
(*.f64 (/.f64 (/.f64 eps -1/2) 1) (/.f64 x eps)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 x (cbrt.f64 eps))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (neg.f64 eps)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (/.f64 1 x) (pow.f64 eps 3))) (*.f64 eps eps)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (/.f64 eps (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (/.f64 eps (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 eps -1/2) -1) (/.f64 x (neg.f64 eps))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 eps -1/2))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (cbrt.f64 (*.f64 eps -1/2))) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))) |
(pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 eps x) (/.f64 eps -1/2)) -1) |
(neg.f64 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x)) |
(neg.f64 (*.f64 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x) 1)) |
(neg.f64 (*.f64 eps (*.f64 (/.f64 1 (*.f64 eps 1/2)) x))) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x))) |
(neg.f64 (/.f64 (*.f64 eps (/.f64 x eps)) 1/2)) |
(neg.f64 (/.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) -1/2))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (/.f64 eps x) -1/2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(exp.f64 (log.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
| Outputs |
|---|
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(*.f64 -2 x) |
(+.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) (*.f64 (*.f64 -2 (/.f64 x eps)) 0)) |
(*.f64 -2 x) |
(+.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) (*.f64 0 (*.f64 -2 (/.f64 x eps)))) |
(*.f64 -2 x) |
(+.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) 0) (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 -2 x) |
(+.f64 (*.f64 0 (*.f64 -2 (/.f64 x eps))) (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 -2 x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) 1) |
(*.f64 -2 x) |
(*.f64 eps (*.f64 -2 (/.f64 x eps))) |
(*.f64 -2 x) |
(*.f64 x (/.f64 eps (*.f64 eps -1/2))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 1) |
(*.f64 -2 x) |
(*.f64 1 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 -2 x) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(*.f64 -2 x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 -2 x) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(*.f64 -2 x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) |
(*.f64 -2 x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (*.f64 -2 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (cbrt.f64 (*.f64 -2 x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 -2 x) |
(*.f64 (*.f64 eps (/.f64 x eps)) -2) |
(*.f64 -2 x) |
(*.f64 (*.f64 -2 (/.f64 x eps)) eps) |
(*.f64 -2 x) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 -2 x) |
(*.f64 (neg.f64 eps) (*.f64 (/.f64 1 (*.f64 eps 1/2)) x)) |
(*.f64 -2 x) |
(*.f64 (*.f64 (cbrt.f64 eps) (*.f64 -2 (/.f64 x eps))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 -2 x) |
(*.f64 -2 (*.f64 eps (/.f64 x eps))) |
(*.f64 -2 x) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (/.f64 eps eps) (/.f64 x -1/2)) |
(*.f64 -2 x) |
(*.f64 (/.f64 eps -1/2) (/.f64 x eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 -2 x) |
(*.f64 (/.f64 eps (*.f64 eps -1/2)) x) |
(*.f64 -2 x) |
(*.f64 (*.f64 (/.f64 1 (*.f64 eps 1/2)) x) (neg.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (*.f64 (sqrt.f64 eps) (/.f64 x eps)) (/.f64 (sqrt.f64 eps) -1/2)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (*.f64 (/.f64 (cbrt.f64 eps) eps) (/.f64 x -1/2))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (cbrt.f64 eps) (/.f64 eps x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (sqrt.f64 eps) -1/2) (*.f64 (sqrt.f64 eps) (/.f64 x eps))) |
(*.f64 -2 x) |
(*.f64 (*.f64 (sqrt.f64 eps) (*.f64 -2 (/.f64 x eps))) (sqrt.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 (/.f64 eps x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) x) (/.f64 (cbrt.f64 eps) -1/2)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (cbrt.f64 eps) -1/2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) x)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2) (/.f64 (cbrt.f64 eps) (/.f64 eps x))) |
(*.f64 -2 x) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 eps) eps) (/.f64 x -1/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (*.f64 -2 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) |
(*.f64 (cbrt.f64 (*.f64 -2 x)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2))) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps -1/2) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x))) |
(*.f64 -2 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 -2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 x) -2) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 eps (*.f64 eps 1/2)) (neg.f64 x)) |
(*.f64 -2 x) |
(*.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 eps x) -1/2) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 eps x) -1/2) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (/.f64 eps x) -1/2)) (cbrt.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (neg.f64 eps) (*.f64 eps 1/2)) x) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (pow.f64 eps 3)) (*.f64 eps eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (neg.f64 (pow.f64 eps 3))) (*.f64 eps (neg.f64 eps))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 -2 (/.f64 (*.f64 x eps) eps))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps 3) (*.f64 -2 x))) (neg.f64 (pow.f64 eps 3))) |
(/.f64 (*.f64 (pow.f64 eps 3) (*.f64 x 2)) (neg.f64 (pow.f64 eps 3))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (pow.f64 eps 3)) eps) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 eps (pow.f64 eps 3))) (*.f64 eps eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (*.f64 eps (pow.f64 eps 3))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (-.f64 (*.f64 eps (pow.f64 eps 3)) 0)) (*.f64 eps eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (+.f64 0 (pow.f64 (*.f64 eps eps) 3))) (-.f64 (*.f64 eps (pow.f64 eps 3)) (*.f64 0 (*.f64 eps eps)))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (*.f64 (*.f64 -2 (/.f64 x eps)) (pow.f64 eps 3)) (-.f64 (pow.f64 (*.f64 eps eps) 3) 0)) (*.f64 eps (pow.f64 eps 3))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) eps) x) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) 1) (/.f64 x eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (*.f64 (sqrt.f64 eps) -1/2)) (/.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (*.f64 -1/2 (sqrt.f64 eps))) (/.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 x (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2)) (/.f64 x (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (*.f64 -1/2 (pow.f64 (cbrt.f64 eps) 2))) (/.f64 x (cbrt.f64 eps))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (neg.f64 eps)) (neg.f64 x)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (/.f64 1 x) (pow.f64 eps 3))) (*.f64 eps eps)) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps -1/2) (/.f64 eps (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x))) |
(*.f64 -2 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (/.f64 eps (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (*.f64 -2 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 x) -2) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) -1) (/.f64 x (neg.f64 eps))) |
(*.f64 -2 x) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (*.f64 eps -1/2))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 eps (*.f64 (sqrt.f64 (*.f64 eps -1/2)) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2))))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 eps (sqrt.f64 (*.f64 eps -1/2))) (sqrt.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)) (cbrt.f64 (*.f64 eps -1/2))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 eps (*.f64 (cbrt.f64 (*.f64 eps -1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2)))) |
(*.f64 (cbrt.f64 x) (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 eps x) -1/2)) 2) (cbrt.f64 (*.f64 eps -1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) |
(*.f64 -2 x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 x))) (cbrt.f64 (sqrt.f64 (*.f64 -2 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) (*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))) |
(*.f64 -2 x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 x))) (cbrt.f64 (sqrt.f64 (*.f64 -2 x))))) |
(pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 1) |
(*.f64 -2 x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 2) |
(*.f64 -2 x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))) 3) |
(*.f64 -2 x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 3) 1/3) |
(*.f64 -2 x) |
(pow.f64 (/.f64 (/.f64 eps x) (/.f64 eps -1/2)) -1) |
(*.f64 -2 x) |
(neg.f64 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x)) |
(*.f64 -2 x) |
(neg.f64 (*.f64 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x) 1)) |
(*.f64 -2 x) |
(neg.f64 (*.f64 eps (*.f64 (/.f64 1 (*.f64 eps 1/2)) x))) |
(*.f64 -2 x) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 eps (*.f64 eps 1/2)) x))) |
(*.f64 -2 x) |
(neg.f64 (/.f64 (*.f64 eps (/.f64 x eps)) 1/2)) |
(*.f64 -2 x) |
(neg.f64 (/.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) -1/2))) |
(*.f64 -2 x) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 (/.f64 eps x) -1/2)) 2)) |
(fabs.f64 (*.f64 -2 x)) |
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 -2 (/.f64 x eps)))) |
(*.f64 -2 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))))) |
(*.f64 -2 x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) 3)) |
(*.f64 -2 x) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (/.f64 eps x) -1/2) 3))) |
(*.f64 -2 x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 -2 x) |
(exp.f64 (log.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 -2 x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 -2 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 0.2b | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
Compiled 54 to 27 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | inf | (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | -inf | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1× | batch-egg-rewrite |
| 1746× | associate-/r* |
| 1092× | associate-/l* |
| 882× | distribute-lft-in |
| 582× | associate-/r/ |
| 278× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 1 | 269 | 54 |
| 2 | 3751 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| Outputs |
|---|
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x) 2)))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))))) |
| 1× | egg-herbie |
| 960× | associate-/r/ |
| 744× | distribute-lft-neg-out |
| 702× | distribute-rgt-neg-out |
| 552× | +-commutative |
| 492× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 425 | 9240 |
| 1 | 1208 | 8480 |
| 2 | 4696 | 8348 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 (/.f64 x eps)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -2 (/.f64 x eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 4))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))) |
(*.f64 -2 (/.f64 x eps)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -2 (/.f64 x eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 4))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(*.f64 -2 (/.f64 x eps)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -2 (/.f64 x eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 4))) (+.f64 (*.f64 -2 (/.f64 x eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
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(*.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 -1 (/.f64 -1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(*.f64 (/.f64 -1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1)) |
(*.f64 (/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) 3))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (neg.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1) |
(pow.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 1) |
(pow.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| Outputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x)) |
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 eps 1/2) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 (*.f64 eps 1/8) (pow.f64 x 3)) eps)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 eps 1/2) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 (*.f64 eps 1/8) (pow.f64 x 3)) eps)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 eps 1/2) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 (*.f64 eps 1/8) (pow.f64 x 3)) eps)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x)) |
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 -2 x)) |
(fma.f64 -2 x (*.f64 -8 (/.f64 (pow.f64 x 3) eps))) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps)))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps)))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (/.f64 (*.f64 -32 (pow.f64 x 5)) (*.f64 eps eps))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 (/.f64 -32 eps) (/.f64 (pow.f64 x 5) eps))))) |
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(fma.f64 -8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)) (*.f64 (/.f64 -2 eps) x))) |
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(fma.f64 -8 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 4)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)) (*.f64 (/.f64 -2 eps) x)))) |
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(*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(/.f64 (/.f64 (*.f64 eps 1/2) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) |
(/.f64 (*.f64 (/.f64 eps x) -1/2) (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(/.f64 (fma.f64 (*.f64 (/.f64 eps x) -1/2) (fma.f64 (/.f64 eps x) -1/2 x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (*.f64 x x))) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) |
(*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(/.f64 (/.f64 (*.f64 eps 1/2) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) |
(/.f64 (*.f64 (/.f64 eps x) -1/2) (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (sqrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (sqrt.f64 (/.f64 (*.f64 eps 1/2) x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) -1/2) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3/2))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) -1/2) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3/2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 eps x) -1/2) (fma.f64 (/.f64 eps x) -1/2 x) (*.f64 x x)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(/.f64 (/.f64 (*.f64 eps 1/2) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) |
(/.f64 (*.f64 (/.f64 eps x) -1/2) (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(/.f64 (fma.f64 (*.f64 (/.f64 eps x) -1/2) (fma.f64 (/.f64 eps x) -1/2 x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (cbrt.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) -2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (cbrt.f64 (/.f64 (*.f64 eps 1/2) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) -2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) -2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) -2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) (cbrt.f64 (fma.f64 (*.f64 (/.f64 eps x) -1/2) (fma.f64 (/.f64 eps x) -1/2 x) (*.f64 x x)))) |
(pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(pow.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 1) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(pow.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1/2) 2) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) 3))) |
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -2)) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -2)) |
(fabs.f64 (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1)) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1)) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 0.1b | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| 0.2b | (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
Compiled 75 to 42 computations (44% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| 0.0ms | eps | @ | -inf | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| 1× | batch-egg-rewrite |
| 1374× | associate-/l/ |
| 1262× | distribute-rgt-in |
| 1214× | distribute-lft-in |
| 312× | add-sqr-sqrt |
| 302× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 48 |
| 1 | 353 | 48 |
| 2 | 4522 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (*.f64 -1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) -1) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 x x)) (*.f64 -1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 x)) (*.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 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| 1× | egg-herbie |
| 1616× | associate-*r/ |
| 1032× | associate-*l/ |
| 932× | *-commutative |
| 474× | associate-+r+ |
| 462× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 6343 |
| 1 | 874 | 5801 |
| 2 | 3587 | 5681 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 1 (+.f64 x x))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 (+.f64 x x) 1)) |
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x) |
(+.f64 (+.f64 x x) (*.f64 -1/2 (/.f64 eps x))) |
(+.f64 (*.f64 (neg.f64 x) -1) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1)) |
(+.f64 (*.f64 1 (+.f64 x x)) (*.f64 -1/2 (/.f64 eps x))) |
(+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (*.f64 -1 (neg.f64 x))) |
(+.f64 (*.f64 (+.f64 x x) 1) (*.f64 -1/2 (/.f64 eps x))) |
(+.f64 (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) -1) (*.f64 (neg.f64 x) -1)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x)))) (-.f64 1 (+.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (-.f64 1 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 eps x)) 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x)) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) |
(-.f64 (+.f64 x (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 eps x)) 2) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(-.f64 (+.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 (+.f64 x x) (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x))))) 1) |
(*.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2) (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)) (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))))) |
(*.f64 -1 (-.f64 (neg.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2) -1) (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) -1)) |
(pow.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) -1) |
(pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(fma.f64 1 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(+.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 0)) |
(+.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) (*.f64 0 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) 0) (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 x x)) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (*.f64 x x))) |
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2)) (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (fma.f64 (neg.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (sqrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) 2) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3)))) (*.f64 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) 1) |
(*.f64 1 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 eps (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(*.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (sqrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2) (/.f64 eps (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2) (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (*.f64 eps (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2)) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2)) |
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (/.f64 eps (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(*.f64 (/.f64 eps -1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) eps) -1) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3)))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) |
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(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2) (/.f64 eps (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) -1/2) (/.f64 eps (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2)) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2) (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (*.f64 eps (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2)) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -1/2)) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(*.f64 eps (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))))) |
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) -2))) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -2)) (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (/.f64 eps (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 2))) (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1/2 (/.f64 x eps)))) |
(/.f64 (*.f64 eps (*.f64 (/.f64 1/2 x) eps)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) 3))) (fma.f64 x x (*.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) x)))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (fma.f64 -1/2 (/.f64 eps x) 0))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 (*.f64 -1/2 (/.f64 eps x)) (fma.f64 -1/2 (/.f64 eps x) x) (*.f64 x x)))) |
(*.f64 (/.f64 eps -1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) 2))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) |
(pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 1) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 2) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 3) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 3) 1/3) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(pow.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) eps) -1) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) 2)) |
(fabs.f64 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(fabs.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(log.f64 (exp.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) 3)) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3)))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 3))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))))) 1)) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))))) |
(+.f64 0 (/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)))) |
(/.f64 eps (fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
Compiled 27560 to 15720 computations (43% saved)
30 alts after pruning (22 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1029 | 13 | 1042 |
| Fresh | 0 | 9 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 8 | 11 |
| Total | 1033 | 30 | 1063 |
| Status | Error | Program |
|---|---|---|
| 60.5b | (/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)))) | |
| 60.5b | (/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 (/.f64 -2 eps) x))) | |
| 60.5b | (/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 -2 (/.f64 x eps)))) | |
| 32.7b | (/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) | |
| 32.7b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 27.5b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 56.3b | (/.f64 eps x) | |
| 32.8b | (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) | |
| 59.7b | (/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) | |
| 33.1b | (/.f64 1/2 (/.f64 x eps)) | |
| ✓ | 59.7b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 27.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.9b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 62.4b | (*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) | |
| 62.4b | (*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) | |
| 54.6b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) | |
| 53.3b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) | |
| 62.4b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) | |
| 62.4b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) | |
| 60.5b | (*.f64 (/.f64 x eps) (/.f64 eps -1/2)) | |
| 34.7b | (*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) | |
| ✓ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 60.5b | (*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) | |
| 60.7b | (*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) | |
| 33.1b | (*.f64 (/.f64 1/2 x) eps) | |
| 60.5b | (*.f64 (*.f64 (/.f64 -2 eps) x) eps) | |
| ✓ | 60.5b | (*.f64 x -2) |
| ✓ | 33.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 360 to 240 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 (*.f64 (/.f64 -2 eps) x) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 -2 (/.f64 x eps)))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 (/.f64 -2 eps) x))) |
(/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
3 calls:
| 19.0ms | eps |
| 18.0ms | x |
| 17.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | eps |
| 0.3b | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 445 to 220 computations (50.6% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 (*.f64 (/.f64 -2 eps) x) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 -2 (/.f64 x eps)))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 (/.f64 -2 eps) x))) |
(/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
3 calls:
| 61.0ms | eps |
| 29.0ms | x |
| 26.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Error | Segments | Branch |
|---|---|---|
| 7.3b | 2 | x |
| 12.4b | 4 | eps |
| 0.3b | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 363 to 191 computations (47.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.9599830526941654e-151 | 0.0 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 (*.f64 (/.f64 -2 eps) x) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 -2 (/.f64 x eps)))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 (/.f64 -2 eps) x))) |
(/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 111.0ms | eps |
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.5b | 2 | x |
| 12.4b | 4 | eps |
Compiled 336 to 179 computations (46.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.8690041298086946e-118 | 4.1803028474507003e-116 |
| 10.0ms | 105× | body | 256 | valid |
| 1.0ms | 14× | body | 256 | invalid |
| 1.0ms | 7× | body | 512 | valid |
Compiled 169 to 115 computations (32% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 (*.f64 (/.f64 -2 eps) x) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 -2 (/.f64 x eps)))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (*.f64 (/.f64 -2 eps) x))) |
(/.f64 (neg.f64 eps) (+.f64 (*.f64 x -2) (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) eps) |
(*.f64 (/.f64 eps x) (+.f64 1/2 (/.f64 (*.f64 eps 1/8) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 (*.f64 eps eps) (/.f64 1 x))) eps) |
(/.f64 1 (/.f64 1 (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 -2 (/.f64 x eps))) 1) (/.f64 eps (*.f64 eps eps))) |
(/.f64 (+.f64 eps 0) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) (*.f64 eps eps)) eps) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 15.0ms | x |
| 14.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 32.7b | 1 | x |
| 32.7b | 1 | eps |
Compiled 324 to 175 computations (46% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 (*.f64 (/.f64 -2 eps) x) eps) |
(*.f64 (/.f64 x eps) (/.f64 eps -1/2)) |
(*.f64 (/.f64 1 (*.f64 eps -1/2)) (*.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 eps x) -1/2)) eps) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(*.f64 (/.f64 (/.f64 eps -1/2) (*.f64 eps eps)) (*.f64 eps x)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 13.0ms | eps |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.0b | 1 | x |
| 33.0b | 1 | eps |
Compiled 97 to 52 computations (46.4% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
| Outputs |
|---|
(/.f64 eps x) |
2 calls:
| 5.0ms | x |
| 4.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 56.3b | 1 | x |
| 56.3b | 1 | eps |
Compiled 21 to 12 computations (42.9% saved)
Total -1.8b remaining (-2.9%)
Threshold costs -1.8b (-2.9%)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
| Outputs |
|---|
(*.f64 x -2) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 60.5b | 1 | x |
| 60.5b | 1 | eps |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 12× | sub-neg |
| 12× | *-commutative |
| 6× | neg-mul-1 |
| 6× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 228 |
| 1 | 48 | 228 |
| 2 | 57 | 228 |
| 3 | 62 | 228 |
| 4 | 64 | 228 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 5678427533559429/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 eps x) |
(*.f64 x -2) |
x |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(if (<=.f64 x 5678427533559429/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 5678427533559429/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) 1/2) |
(/.f64 eps x) |
(*.f64 x -2) |
x |
Compiled 99 to 58 computations (41.4% saved)
| 2× | egg-herbie |
| 1238× | associate-+r+ |
| 1136× | fma-def |
| 976× | +-commutative |
| 898× | associate-*r* |
| 732× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 15441 |
| 1 | 1874 | 14569 |
| 0 | 480 | 9289 |
| 1 | 1460 | 8639 |
| 2 | 6882 | 8639 |
| 1× | node limit |
| 1× | node limit |
Compiled 152 to 48 computations (68.4% saved)
Compiled 85 to 37 computations (56.5% saved)
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