Time bar (total: 7.1s)
| 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)
| 700.0ms | 5890× | body | 256 | valid |
| 296.0ms | 1163× | body | 1024 | valid |
| 206.0ms | 1152× | body | 512 | valid |
| 17.0ms | 178× | body | 256 | invalid |
| 16.0ms | 51× | 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 |
|---|---|---|
| ▶ | 22.6b | (-.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)) |
| ✓ | 3.2b | (-.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 | eps | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | x | @ | 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)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 10 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 11 | 422 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.4b | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| ▶ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 23.8b | (/.f64 (*.f64 (+.f64 eps 0) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) | |
| 51.4b | (/.f64 (*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) | |
| 59.3b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.6b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 25.2b | (-.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))))) | |
| ▶ | 61.8b | (*.f64 x 2) |
| ▶ | 37.3b | (*.f64 1/2 (/.f64 eps x)) |
Compiled 278 to 176 computations (36.7% 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 | |
|---|---|---|---|---|
| 6.0ms | eps | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 2.0ms | 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 |
|---|
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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 |
| 980× | associate-+r+ |
| 964× | +-commutative |
| 740× | associate-+l+ |
| 732× | times-frac |
| 682× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 479 | 9289 |
| 1 | 1451 | 8639 |
| 2 | 6672 | 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 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 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 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 1/16 (/.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 (*.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 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.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 (*.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 (*.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 (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 (*.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) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.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 (*.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 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 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 1/16 (/.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 (*.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 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))) (/.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 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -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 -1/8 (*.f64 eps eps)) (pow.f64 x 3)) (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 eps (/.f64 (pow.f64 x 3) eps)) -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 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 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))))) |
(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 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (fma.f64 (/.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) x)) |
(*.f64 2 x) |
(*.f64 x 2) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
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(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x))) |
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(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 -1/8 (*.f64 eps eps)) (pow.f64 x 3))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (/.f64 (*.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5))))) |
(*.f64 1/2 (/.f64 eps x)) |
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(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 eps) (/.f64 (pow.f64 x 3) 1/8))) |
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(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 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x)))) |
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2)) (pow.f64 x 7)) (*.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) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(*.f64 x 2) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
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(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (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) |
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(/.f64 (*.f64 eps (-.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 (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps eps))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 eps))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.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 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(*.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))) |
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(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (/.f64 eps (-.f64 (fma.f64 x x eps) (*.f64 x x)))) |
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(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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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 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.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 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (*.f64 x (+.f64 x x)) eps))) |
(/.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 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 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (+.f64 (pow.f64 x 6) (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 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 x (*.f64 x (fma.f64 x x (neg.f64 eps)))))) |
(/.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 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x (+.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 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (-.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 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.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 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.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 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.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 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 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 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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)) (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 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))) |
(+.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 (fma.f64 x x (neg.f64 eps)))) |
(+.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 (fma.f64 x x (neg.f64 eps)))) |
(+.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 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))) |
(+.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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))) |
(+.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 (fma.f64 x x (neg.f64 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) |
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 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) |
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 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))) |
| 0.0ms | 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 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.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 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 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 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 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 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.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 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))))))) |
| 1× | egg-herbie |
| 1436× | associate-/l* |
| 1146× | associate-+l+ |
| 1124× | associate-*r* |
| 954× | associate-*l* |
| 740× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1082 |
| 1 | 261 | 962 |
| 2 | 1031 | 900 |
| 3 | 4662 | 898 |
| 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 eps))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(*.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(*.f64 1 (-.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.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 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 eps)) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.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 eps))))) |
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2)) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps)))) |
(fma.f64 1 x (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps))) |
(*.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) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 x (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1)) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps))) |
(fma.f64 -1 (pow.f64 eps 1/2) x) |
(-.f64 x (pow.f64 eps 1/2)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) x) |
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 eps)) (cbrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 1 (-.f64 x (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2)) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (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 eps)) (fma.f64 x x eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.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 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 eps) (sqrt.f64 eps))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 eps)) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) eps)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) 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 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3) |
(-.f64 x (sqrt.f64 eps)) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2)) |
(-.f64 x (sqrt.f64 eps)) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
(-.f64 x (sqrt.f64 eps)) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3)) |
(-.f64 x (sqrt.f64 eps)) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1)) |
(-.f64 x (sqrt.f64 eps)) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 1 x (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| ✓ | 0.4b | (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| 3.2b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 47 to 10 computations (78.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | eps | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| 9.0ms | eps | @ | inf | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| 7.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| 3.0ms | x | @ | inf | (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
| 1× | batch-egg-rewrite |
| 1030× | *-commutative |
| 916× | associate-*r/ |
| 692× | distribute-lft-in |
| 690× | associate-*l/ |
| 680× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 265 | 50 |
| 2 | 3332 | 50 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1116× | associate-+l- |
| 1016× | associate-+r- |
| 942× | associate-*r* |
| 636× | associate-*l* |
| 550× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 538 | 15065 |
| 1 | 1540 | 13881 |
| 2 | 6734 | 13881 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (pow.f64 eps 1/6) (*.f64 (sqrt.f64 1) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (sqrt.f64 1) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 x 2)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) 3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) 3) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (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 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (neg.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.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 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (/.f64 1 (+.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 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (/.f64 1 (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 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (/.f64 1 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (/.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.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 eps (-.f64 (*.f64 x x) (*.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 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) 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 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) 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 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.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 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 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 1 1/3)) |
(*.f64 1 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (cbrt.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))))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.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 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/3)) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(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))) 1/3) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps)) 1/18) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)) |
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps eps) 1/18) (pow.f64 (*.f64 eps eps) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 eps 2) (pow.f64 1 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (pow.f64 eps 1/6) (*.f64 (sqrt.f64 1) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/3) (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (sqrt.f64 1) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (cbrt.f64 -1))))))) (cbrt.f64 -1))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (sqrt.f64 1) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps)) 1/18) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x (*.f64 (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (*.f64 (pow.f64 eps 1/6) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/6)) (/.f64 (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (cbrt.f64 -1))))))) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 -1/3 (fma.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))))) (*.f64 x x)))) |
(-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps eps) 1/18) (pow.f64 (*.f64 eps eps) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x (*.f64 x (*.f64 x (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (*.f64 (cbrt.f64 -1) (*.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sqrt.f64 -1))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18) (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 eps 1/6))) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 eps) 1/18) 2/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
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(-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps eps) 1/18) (pow.f64 (*.f64 eps eps) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x (fma.f64 (fma.f64 -1/3 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 (/.f64 1 (pow.f64 eps 5)) 1/18)))) (/.f64 (*.f64 1/27 (cbrt.f64 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 1/3 (*.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sqrt.f64 -1))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18) (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (*.f64 (*.f64 (pow.f64 (/.f64 -1 eps) 1/18) (pow.f64 (/.f64 -1 eps) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (*.f64 (cbrt.f64 -1) (*.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (/.f64 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 (/.f64 1 (pow.f64 eps 5)) 1/18)))) (/.f64 (*.f64 1/27 (cbrt.f64 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sqrt.f64 -1))))) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 eps 4)) 1/18))))) (pow.f64 eps 1/6))) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 5)) 1/18) -2/9))))) (pow.f64 x 3) (*.f64 x (*.f64 x (fma.f64 (cbrt.f64 (sqrt.f64 -1)) (*.f64 (cbrt.f64 -1) (*.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/6) (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sqrt.f64 -1))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18) (pow.f64 (/.f64 1 (*.f64 eps eps)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (pow.f64 eps 1/6))) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) (*.f64 (pow.f64 (/.f64 1 eps) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1)))) -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 eps) 1/18) 2/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18))))))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 (pow.f64 eps 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 1/3) (*.f64 (sqrt.f64 1) (cbrt.f64 -1)))) |
(*.f64 (pow.f64 eps 1/6) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sqrt.f64 -1)))) |
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (sqrt.f64 -1)) (pow.f64 eps 1/6))) |
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(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(+.f64 1 (-.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(-.f64 x (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (-.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 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) 1 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(-.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 0 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(-.f64 (expm1.f64 (log1p.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(-.f64 (expm1.f64 (log1p.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
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(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 1 1/3)) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6)) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (cbrt.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.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)))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))) |
(/.f64 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (cbrt.f64 (+.f64 eps 0)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (cbrt.f64 (+.f64 eps 0)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (cbrt.f64 (+.f64 eps 0)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (cbrt.f64 (+.f64 eps 0)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 (cbrt.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)))) 1) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/3) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/6) 2) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) |
(fabs.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 32585 to 14013 computations (57% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1074 | 7 | 1081 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1080 | 12 | 1092 |
| Status | Error | Program |
|---|---|---|
| 24.3b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| ▶ | 36.6b | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 23.4b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| ▶ | 51.4b | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ▶ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 59.3b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.6b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 25.2b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ▶ | 61.3b | (-.f64 x x) |
| ▶ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| ✓ | 37.3b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 227 to 142 computations (37.4% 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 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)))) |
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(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
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(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) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
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(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))) |
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(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)))))))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
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(*.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) |
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(*.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))))) |
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(/.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)))))) |
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(/.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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 | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | (+.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))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | 0 | (/.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))) |
| 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 | 42 |
| 1 | 285 | 42 |
| 2 | 3981 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
| Outputs |
|---|
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x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 eps x))))))) |
| 1× | egg-herbie |
| 1246× | associate-/r/ |
| 640× | distribute-lft-neg-in |
| 622× | +-commutative |
| 612× | associate-*r* |
| 510× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 7304 |
| 1 | 1208 | 6816 |
| 2 | 5426 | 6808 |
| 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)))))) |
x |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 -1/2 (/.f64 eps x)) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) (cbrt.f64 (/.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 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 eps (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (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 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (+.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.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 eps (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 eps 3)) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (neg.f64 (*.f64 eps eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 eps 3)) eps) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 eps (pow.f64 eps 3))) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 (pow.f64 eps 3) eps)) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) 0)) (*.f64 eps eps)) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 0 (pow.f64 (*.f64 eps eps) 3))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 0 (*.f64 (*.f64 eps eps) 0)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 (pow.f64 (*.f64 eps eps) 3) 0)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 0 (*.f64 (*.f64 eps eps) 0)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 (pow.f64 eps 3) (*.f64 eps eps))) (pow.f64 eps 3)) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (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 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) 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 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (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 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (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))))) |
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) eps) -1) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x)))) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 -1/2 (/.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 x (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x))))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1) |
(*.f64 1 (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))))) |
(/.f64 (fma.f64 -1/2 (/.f64 eps x) x) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) |
(pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 -1/2 (/.f64 eps x) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 1 x (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 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 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/8 (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 1/32 (/.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))))) |
(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 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)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (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 (/.f64 1/128 (pow.f64 x 7)) (pow.f64 eps 4))))) |
(*.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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) 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 -32 (/.f64 (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 (/.f64 (pow.f64 x 5) 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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) 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 -32 (/.f64 (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 (/.f64 (pow.f64 x 5) 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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) 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 -32 (/.f64 (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 (/.f64 (pow.f64 x 5) 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 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/8 (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 1/32 (/.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))))) |
(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 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)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (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 (/.f64 1/128 (pow.f64 x 7)) (pow.f64 eps 4))))) |
(*.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))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/8 (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 1/32 (/.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))))) |
(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 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)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (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 (/.f64 1/128 (pow.f64 x 7)) (pow.f64 eps 4))))) |
x |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (*.f64 1 (neg.f64 eps)) (-.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 (neg.f64 eps) (-.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 x x))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 eps (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (*.f64 eps (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(/.f64 eps (/.f64 (-.f64 (*.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 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) eps) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (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 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (*.f64 eps (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(/.f64 eps (/.f64 (-.f64 (*.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 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) eps) |
(*.f64 (/.f64 eps (+.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
(/.f64 (*.f64 1 (neg.f64 eps)) (-.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 (neg.f64 eps) (-.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (pow.f64 (cbrt.f64 eps) 2)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (neg.f64 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x) (/.f64 eps (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x)))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.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 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))) (*.f64 1 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (neg.f64 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x) (/.f64 eps (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (neg.f64 (-.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x) (/.f64 eps (-.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))) (*.f64 1 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1) (/.f64 1 eps)) |
(*.f64 (*.f64 eps (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (/.f64 1 eps)) |
(/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)) eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (*.f64 eps eps)) eps) |
(/.f64 (*.f64 (*.f64 eps (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) eps) (*.f64 eps eps)) |
(/.f64 (/.f64 (pow.f64 eps 3) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (*.f64 eps eps)) |
(/.f64 (pow.f64 eps 3) (*.f64 eps (*.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 eps 3)) (*.f64 eps eps)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (neg.f64 (pow.f64 eps 3))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps)) |
(*.f64 (neg.f64 eps) (/.f64 (*.f64 eps (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (neg.f64 (*.f64 eps eps)))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 eps 3)) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (neg.f64 (*.f64 eps eps))) |
(/.f64 (neg.f64 (pow.f64 eps 3)) (*.f64 (*.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (neg.f64 eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (neg.f64 (*.f64 eps eps))) (neg.f64 eps)) |
(*.f64 (neg.f64 eps) (/.f64 (*.f64 eps (/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (neg.f64 (*.f64 eps eps)))) |
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(fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 eps 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))) | |
| ✓ | 0.1b | (/.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 |
|---|
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(/.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 exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
((#(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 |
| 926× | associate-+r+ |
| 888× | associate-+l+ |
| 816× | +-commutative |
| 792× | associate-/l* |
| 516× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 8892 |
| 1 | 1398 | 8334 |
| 2 | 5974 | 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))))) |
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(/.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 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) |
(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)) |
(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 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)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(log1p.f64 (expm1.f64 (/.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 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))))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.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 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x)))))) |
(fma.f64 (+.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)))) (pow.f64 x 3) (-.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 (fma.f64 (+.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)))) (pow.f64 x 3) (/.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 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 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 (*.f64 1/16 (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 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 -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 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))) |
(-.f64 (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 x 5) (pow.f64 eps 3))))) (/.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 x 2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -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 eps (/.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) -1/8))))))))) |
(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 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (/.f64 -1/4 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 eps 3) -1/8)))))))) |
(*.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 eps) (/.f64 (pow.f64 x 3) 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 (*.f64 1/16 (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 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 (*.f64 1/16 (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 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)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x eps)) |
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(*.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)))) |
(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)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.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))) | |
| ✓ | 0.1b | (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
Compiled 47 to 9 computations (80.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | eps | @ | -inf | (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
| 0.0ms | eps | @ | inf | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1792× | associate-*l/ |
| 1336× | associate-/r* |
| 1196× | associate-/l* |
| 292× | associate-+l+ |
| 260× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 1 | 250 | 30 |
| 2 | 3576 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (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 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (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 (fma.f64 x x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (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 (fma.f64 x x (neg.f64 eps))))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))))) |
| 1× | egg-herbie |
| 1672× | associate-*r/ |
| 1128× | distribute-lft-in |
| 1042× | distribute-rgt-in |
| 1026× | *-commutative |
| 940× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 2564 |
| 1 | 606 | 2286 |
| 2 | 2915 | 2278 |
| 1× | node limit |
| Inputs |
|---|
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 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 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 eps)) 1) |
(pow.f64 eps 1) |
(pow.f64 (sqrt.f64 eps) 2) |
(pow.f64 (cbrt.f64 eps) 3) |
(pow.f64 (*.f64 eps eps) 1/2) |
(pow.f64 (pow.f64 eps 3) 1/3) |
(sqrt.f64 (*.f64 eps eps)) |
(fabs.f64 eps) |
(log.f64 (exp.f64 eps)) |
(log.f64 (+.f64 1 (expm1.f64 eps))) |
(cbrt.f64 (pow.f64 eps 3)) |
(expm1.f64 (log1p.f64 eps)) |
(exp.f64 (log.f64 eps)) |
(exp.f64 (*.f64 (log.f64 eps) 1)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 eps)) 2)) |
(log1p.f64 (expm1.f64 eps)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) eps) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (sqrt.f64 eps)) |
(*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) eps) -1) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
| Outputs |
|---|
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
eps |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
eps |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
eps |
(*.f64 -1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) |
eps |
(*.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 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (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 1/16 (/.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 (*.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)))) |
(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 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 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))))) |
(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 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 (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) (*.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 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 1 x) (*.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 eps))) (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 (*.f64 (sqrt.f64 (/.f64 1 eps)) (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 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 eps))) (sqrt.f64 -1)) -1/2) (sqrt.f64 -1)))) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 1 x) (*.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 eps))) (sqrt.f64 -1)) -1/2) (*.f64 x x))))) |
(*.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 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (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 1/16 (/.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 (*.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)))) |
(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 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 1/16 (/.f64 (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 (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 eps 3)) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128))) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 2 x)) |
(fma.f64 2 x (*.f64 (/.f64 eps x) -1/2)) |
(fma.f64 2 x (*.f64 (/.f64 -1/2 x) eps)) |
(+.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 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 (pow.f64 x 3)) eps) -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 (+.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 2 x (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))))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 2 x (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 -1/4 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/8) (*.f64 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) eps) (/.f64 -2 (pow.f64 x 5)))))))) |
(-.f64 (exp.f64 (log1p.f64 eps)) 1) |
eps |
(pow.f64 eps 1) |
eps |
(pow.f64 (sqrt.f64 eps) 2) |
eps |
(pow.f64 (cbrt.f64 eps) 3) |
eps |
(pow.f64 (*.f64 eps eps) 1/2) |
eps |
(pow.f64 (pow.f64 eps 3) 1/3) |
eps |
(sqrt.f64 (*.f64 eps eps)) |
eps |
(fabs.f64 eps) |
eps |
(log.f64 (exp.f64 eps)) |
eps |
(log.f64 (+.f64 1 (expm1.f64 eps))) |
eps |
(cbrt.f64 (pow.f64 eps 3)) |
eps |
(expm1.f64 (log1p.f64 eps)) |
eps |
(exp.f64 (log.f64 eps)) |
eps |
(exp.f64 (*.f64 (log.f64 eps) 1)) |
eps |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 eps)) 2)) |
eps |
(log1p.f64 (expm1.f64 eps)) |
eps |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (sqrt.f64 eps)) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(*.f64 (/.f64 eps (+.f64 eps 0)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(*.f64 (/.f64 eps eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (*.f64 2 (*.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps))))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (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 (fma.f64 x x (neg.f64 eps))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) |
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 38466 to 15984 computations (58.4% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1454 | 8 | 1462 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1457 | 17 | 1474 |
| Status | Error | Program |
|---|---|---|
| 51.4b | (/.f64 (pow.f64 (sqrt.f64 eps) 2) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) | |
| 24.3b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| ▶ | 36.6b | (/.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)))) |
| ▶ | 23.4b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| ▶ | 0.4b | (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
| ▶ | 37.4b | (/.f64 1/2 (/.f64 x eps)) |
| 59.3b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.6b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 25.2b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 61.3b | (-.f64 x x) |
| 36.7b | (*.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) |
| 37.4b | (*.f64 (/.f64 1/2 x) eps) | |
| ▶ | 60.5b | (*.f64 x -2) |
| ✓ | 37.3b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 282 to 183 computations (35.1% saved)
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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
Compiled 49 to 10 computations (79.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
| 0.0ms | eps | @ | -inf | (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
| 0.0ms | eps | @ | inf | (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
| 0.0ms | eps | @ | inf | (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
| 0.0ms | eps | @ | -inf | (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
| 1× | batch-egg-rewrite |
| 1570× | associate-/r* |
| 986× | associate-/l* |
| 910× | distribute-lft-in |
| 632× | associate-/r/ |
| 346× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 1 | 265 | 58 |
| 2 | 3759 | 58 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (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)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) x) (*.f64 (/.f64 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(-.f64 (*.f64 x x) eps)))) (/.f64 -1 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 (/.f64 1 (sqrt.f64 eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 1) (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))))) 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(*.f64 x x) eps)))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (+.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 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (+.f64 (neg.f64 eps) (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (-.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (+.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))))))))))) (#(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 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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))))) |
| 1× | egg-herbie |
| 980× | associate-+r+ |
| 798× | +-commutative |
| 770× | associate-+l+ |
| 644× | *-commutative |
| 578× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 8058 |
| 1 | 1409 | 7488 |
| 2 | 6238 | 7488 |
| 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 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))) |
(+.f64 (/.f64 x eps) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) |
(+.f64 (/.f64 x eps) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))) |
(+.f64 (/.f64 x eps) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (+.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 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 7))))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (+.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 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (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))))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) x) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) x) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 -1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) x) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) x) (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (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 x x)) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
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(*.f64 (/.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (+.f64 (neg.f64 eps) (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (-.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 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (+.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)))))))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 1) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(exp.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 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)))) |
(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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))) |
(+.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)))))) |
(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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (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 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x)))))) |
(fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2))))) |
(*.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))) |
(+.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 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.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 (/.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 1/16 (/.f64 (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 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))) |
(-.f64 (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 x 5) (pow.f64 eps 3))))) (/.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 x 2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -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 eps (/.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) -1/8))))))))) |
(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 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))) |
(+.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 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (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 (*.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 x 5) (pow.f64 eps 3)))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))) |
(+.f64 (/.f64 x eps) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) |
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))) (/.f64 x eps)) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)) (/.f64 x eps)) |
(+.f64 (/.f64 x eps) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))) |
(+.f64 (/.f64 x eps) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))) |
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (*.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (/.f64 x eps) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))))) |
(+.f64 (/.f64 x eps) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (*.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)) (/.f64 x eps))) |
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)) (/.f64 x eps)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (*.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 (/.f64 x eps) (neg.f64 (/.f64 1/2 x))) |
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (*.f64 2 (/.f64 x eps))) (/.f64 1/2 x)) |
(fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (+.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 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (*.f64 -1/16 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))) (/.f64 1/2 x)) |
(+.f64 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 -1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)) (*.f64 2 (/.f64 x eps)))) (/.f64 -1/2 x)) |
(+.f64 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) (*.f64 -1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 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))))) |
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (*.f64 1/16 (/.f64 (*.f64 eps eps) (pow.f64 x 5))))) |
(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 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 7))))))) |
(+.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) (fma.f64 1/16 (/.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 7)))))) |
(+.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 7))) (*.f64 1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 (/.f64 x eps) (neg.f64 (/.f64 1/2 x))) |
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (*.f64 2 (/.f64 x eps))) (/.f64 1/2 x)) |
(fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 1) (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) 1) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 1 (/.f64 eps (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2))) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) -1) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))) |
(*.f64 (/.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (+.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 (/.f64 (+.f64 eps 0) eps) (+.f64 eps 0))) |
(*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 eps)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (+.f64 (neg.f64 eps) (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 eps 0) eps) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (/.f64 eps eps) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (fma.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (-.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 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) eps) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (+.f64 (+.f64 eps 0) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) eps) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 eps)) (+.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 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) eps) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 x x))))) |
(*.f64 (/.f64 (+.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) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) 3)) eps)) (fma.f64 (-.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 x 4))) |
(*.f64 (/.f64 (+.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) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) 3)) eps)) (fma.f64 (-.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 1) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 3) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3) 1/3) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 2)) |
(fabs.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3)) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) (pow.f64 eps 3))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(exp.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 1)) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) |
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1/2 (/.f64 x eps)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | eps | @ | -inf | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | eps | @ | 0 | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | x | @ | inf | (/.f64 1/2 (/.f64 x eps)) |
| 1× | batch-egg-rewrite |
| 1616× | add-sqr-sqrt |
| 1592× | *-un-lft-identity |
| 1492× | add-cube-cbrt |
| 1476× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 154 | 13 |
| 2 | 2008 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (/.f64 x eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))))) |
| 1× | egg-herbie |
| 1176× | associate-/l* |
| 1130× | distribute-lft-in |
| 1038× | distribute-rgt-in |
| 894× | associate-+r+ |
| 842× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 706 |
| 1 | 162 | 706 |
| 2 | 647 | 706 |
| 3 | 2594 | 706 |
| 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 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(*.f64 1 (*.f64 1/2 (/.f64 eps x))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 1/2 x) eps) |
(*.f64 (/.f64 eps x) 1/2) |
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps))) |
(*.f64 (*.f64 (/.f64 1/2 x) 1) eps) |
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps)) |
(*.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps)) |
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps)) |
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x eps) 2) -1) |
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2))) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps 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 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1 (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) 1/2) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (/.f64 1/2 x) 1) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps)) |
(*.f64 (/.f64 1/2 x) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))) |
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (*.f64 (/.f64 x eps) 2) -1) |
(*.f64 1/2 (/.f64 eps x)) |
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2))) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1)) |
(*.f64 1/2 (/.f64 eps x)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) | |
| ✓ | 0.1b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
Compiled 40 to 18 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | -inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1× | batch-egg-rewrite |
| 1344× | associate-/l* |
| 920× | distribute-rgt-in |
| 890× | distribute-lft-in |
| 540× | associate-/r/ |
| 262× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 234 | 27 |
| 2 | 3459 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| Outputs |
|---|
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(+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))))) |
| 1× | egg-herbie |
| 1326× | associate-*r/ |
| 922× | associate-/r* |
| 920× | fma-def |
| 828× | associate-*l/ |
| 738× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 5579 |
| 1 | 722 | 5509 |
| 2 | 2471 | 5161 |
| 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 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (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 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (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 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 x x)) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (neg.f64 (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 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 -1 (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 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (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 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (cbrt.f64 (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 (*.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 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (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 (*.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 (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 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.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 (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 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (*.f64 (*.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 (*.f64 (*.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 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (/.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 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 eps 1) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 eps (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (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 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (+.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.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 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.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 eps (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) 1) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (/.f64 eps 1) (+.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 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.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 (/.f64 eps 1) (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) 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 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (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 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (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 (/.f64 eps (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)))) |
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) eps) -1) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 1/2 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 eps (/.f64 (pow.f64 x 3) eps)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (/.f64 (*.f64 1/2 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))))) |
(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 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))))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (*.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 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 (*.f64 1/128 (pow.f64 eps 4)) (pow.f64 x 7))))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (/.f64 1/128 (pow.f64 x 7)) (pow.f64 eps 4))))) |
(*.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 (pow.f64 x 3) eps))) |
(fma.f64 x -2 (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 x -2 (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (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 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) 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 (pow.f64 x 3) eps))) |
(fma.f64 x -2 (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 x -2 (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (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 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) 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 (pow.f64 x 3) eps))) |
(fma.f64 x -2 (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 x -2 (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (/.f64 (*.f64 (pow.f64 x 3) -8) 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 -32 (/.f64 (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 x -2 (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 1/2 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 eps (/.f64 (pow.f64 x 3) eps)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (/.f64 (*.f64 1/2 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))))) |
(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 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))))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (*.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))))) |
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(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) 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 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3/2))) (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 (/.f64 eps (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3/2))) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (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 eps (*.f64 (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))))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (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 eps (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))) (sqrt.f64 (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (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 eps (*.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 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) (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 eps (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))))) (cbrt.f64 (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps (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 eps (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (cbrt.f64 (/.f64 (*.f64 1/2 eps) x))) |
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) eps) -1) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 1/2 eps) x) x) x)) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.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 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.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 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.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 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.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 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.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 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.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 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 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 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 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.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 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.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 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps)))))) |
| 1× | egg-herbie |
| 1278× | associate-*r/ |
| 1066× | unswap-sqr |
| 852× | associate-*l/ |
| 602× | *-commutative |
| 480× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 2462 |
| 1 | 537 | 2224 |
| 2 | 2522 | 2158 |
| 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 eps))))) 1) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.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 eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(*.f64 1 (+.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.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 eps))))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.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 eps))))) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x)) |
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps)))) |
(fma.f64 1 x (sqrt.f64 eps)) |
(fma.f64 1 (sqrt.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 eps)) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.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 x (/.f64 (*.f64 -1 (sqrt.f64 -1)) x))) (/.f64 x -1))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (neg.f64 (sqrt.f64 -1))) x) 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 x (/.f64 (*.f64 -1 (sqrt.f64 -1)) x))) (/.f64 x -1))) (/.f64 (pow.f64 x 3) eps)) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (neg.f64 (sqrt.f64 -1))) x) x) (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.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) (*.f64 x x)) (pow.f64 eps 3/2))) |
(+.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 (neg.f64 eps) 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 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2)))) |
(+.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 (neg.f64 eps) 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) (*.f64 x x)) (pow.f64 eps 3/2))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (pow.f64 eps 5/2) (*.f64 (/.f64 eps (neg.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) (*.f64 x x)) (pow.f64 eps 3/2))) |
(+.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 (neg.f64 eps) 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 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2)))) |
(+.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 (neg.f64 eps) 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) (*.f64 x x)) (pow.f64 eps 3/2))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (pow.f64 eps 5/2) (*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) 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 eps))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps))) |
(*.f64 eps (/.f64 (-.f64 x (sqrt.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 eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1) |
(+.f64 x (sqrt.f64 eps)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 eps)) x)) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(-.f64 (/.f64 x (-.f64 1 (/.f64 (sqrt.f64 eps) x))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 1 (+.f64 x (sqrt.f64 eps))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.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 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.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 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.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 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.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 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.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 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x)) |
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3) |
(+.f64 x (sqrt.f64 eps)) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2)) |
(+.f64 x (sqrt.f64 eps)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps))))) |
(+.f64 x (sqrt.f64 eps)) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) |
(+.f64 x (sqrt.f64 eps)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1)) |
(+.f64 x (sqrt.f64 eps)) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 1 x (sqrt.f64 eps)) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 1 (sqrt.f64 eps) x) |
(+.f64 x (sqrt.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 eps)) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps)) |
(+.f64 x (sqrt.f64 eps)) |
Compiled 20332 to 9178 computations (54.9% saved)
20 alts after pruning (10 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 809 | 4 | 813 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 810 | 20 | 830 |
| Status | Error | Program |
|---|---|---|
| 51.4b | (/.f64 (pow.f64 (sqrt.f64 eps) 2) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) | |
| 24.3b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| ✓ | 36.6b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 56.9b | (/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 23.4b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 56.9b | (/.f64 eps x) | |
| 36.7b | (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) eps)) | |
| ✓ | 0.4b | (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
| 36.7b | (/.f64 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x)))) | |
| ✓ | 37.4b | (/.f64 1/2 (/.f64 x eps)) |
| 59.3b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.6b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 25.2b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 36.7b | (*.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) |
| 37.4b | (*.f64 (/.f64 1/2 x) eps) | |
| ✓ | 60.5b | (*.f64 x -2) |
| ✓ | 37.3b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 211 to 139 computations (34.1% 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 eps (+.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 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 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 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 1 (/.f64 (+.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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(/.f64 (pow.f64 (sqrt.f64 eps) 2) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (+.f64 eps 0) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
3 calls:
| 40.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 39.0ms | x |
| 15.0ms | 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 320 to 129 computations (59.7% 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 eps (+.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 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 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 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:
| 48.0ms | eps |
| 21.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.9b | 2 | x |
| 8.8b | 4 | eps |
| 0.6b | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 156 to 81 computations (48.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.8673033556856085e-154 | 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 eps (+.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 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 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 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 45.0ms | eps |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.0b | 2 | x |
| 8.8b | 4 | eps |
Compiled 129 to 68 computations (47.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 5.138825682619083e-85 | 6.866798878216887e-85 |
| 4.0ms | 29× | body | 256 | valid |
| 3.0ms | 18× | body | 512 | valid |
| 0.0ms | 3× | body | 256 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 87 to 58 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 eps (+.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 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 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 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:
| 45.0ms | eps |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.0b | 2 | x |
| 9.2b | 6 | eps |
Compiled 122 to 66 computations (45.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.2370848576963814e-102 | 1.3987983735669222e-101 |
| 7.0ms | 72× | body | 256 | valid |
| 1.0ms | 8× | body | 512 | valid |
| 1.0ms | 9× | body | 256 | invalid |
Compiled 125 to 85 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
(/.f64 eps (+.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 1 (-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 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))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 10.0ms | eps |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 36.6b | 1 | x |
| 36.6b | 1 | eps |
Compiled 117 to 63 computations (46.2% 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 eps (+.f64 x (*.f64 (/.f64 eps x) -1/2))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 48.0ms | x |
| 6.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 1 | x |
| 37.3b | 1 | eps |
Compiled 54 to 28 computations (48.1% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
| Outputs |
|---|
(/.f64 eps x) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 56.9b | 1 | x |
| 56.9b | 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:
| 5.0ms | 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 |
| 20× | +-commutative |
| 12× | sub-neg |
| 12× | *-commutative |
| 6× | neg-mul-1 |
| 6× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 289 |
| 1 | 54 | 289 |
| 2 | 63 | 289 |
| 3 | 68 | 289 |
| 4 | 70 | 289 |
| 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))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 4899441623513947/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 8699962968163901/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (-.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))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.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))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(if (<=.f64 x 4899441623513947/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 4899441623513947/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(if (<=.f64 x 8699962968163901/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 8699962968163901/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (-.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 123 to 73 computations (40.7% saved)
| 2× | egg-herbie |
| 1136× | fma-def |
| 980× | associate-+r+ |
| 964× | +-commutative |
| 898× | associate-*r* |
| 740× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 15441 |
| 1 | 1874 | 14569 |
| 0 | 479 | 9289 |
| 1 | 1451 | 8639 |
| 2 | 6672 | 8639 |
| 1× | node limit |
| 1× | node limit |
Compiled 136 to 38 computations (72.1% saved)
Compiled 107 to 47 computations (56.1% saved)
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