Time bar (total: 6.9s)
| 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)
| 809.0ms | 5906× | body | 256 | valid |
| 340.0ms | 1131× | body | 1024 | valid |
| 274.0ms | 1184× | body | 512 | valid |
| 17.0ms | 184× | body | 256 | invalid |
| 11.0ms | 35× | 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 |
|---|---|---|
| ▶ | 26.1b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x x) eps) |
| ✓ | 4.8b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 26 to 6 computations (76.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | x | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0.0ms | eps | @ | -inf | (-.f64 x (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 | 36 |
| 1 | 200 | 36 |
| 2 | 2841 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
| Outputs |
|---|
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((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<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 |
| 1080× | associate-+r- |
| 968× | fma-def |
| 702× | associate-*r* |
| 552× | associate-*l* |
| 544× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 13411 |
| 1 | 1695 | 12657 |
| 2 | 7887 | 12657 |
| 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 -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))))) |
(+.f64 x (+.f64 (neg.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 (-.f64 x (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 (-.f64 x (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)))) |
(+.f64 (-.f64 x (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 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (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 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (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))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (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))))) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (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))) (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 x (sqrt.f64 (-.f64 (*.f64 x x) 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))) (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (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 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (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))) (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 x (sqrt.f64 (-.f64 (*.f64 x x) 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))) (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 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))))) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1 (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1 (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (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))) 1)) |
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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))) 1)) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 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 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 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 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 (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 x (sqrt.f64 (-.f64 (*.f64 x x) 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 (-.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(*.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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 (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 (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 x (-.f64 x x))) (/.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)) (/.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 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) |
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 eps (*.f64 x (-.f64 x x)))) |
(*.f64 (/.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 eps (*.f64 x (-.f64 x x))) (+.f64 eps (*.f64 x (-.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (/.f64 1 (fma.f64 x x eps))) |
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps))) |
(*.f64 (-.f64 x (sqrt.f64 eps)) (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (fma.f64 x x eps)) (-.f64 (pow.f64 x 4) (*.f64 eps eps))) |
(*.f64 (/.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 x 4) (*.f64 eps eps)) (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (-.f64 (*.f64 x x) eps)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))) (+.f64 (pow.f64 x 4) (*.f64 eps (-.f64 eps (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps (fma.f64 x x eps)) (*.f64 eps (fma.f64 x x eps))))) (-.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps (fma.f64 x x eps)) 3))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps (fma.f64 x x eps)) (-.f64 (*.f64 eps (fma.f64 x x eps)) (pow.f64 x 4))))) |
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps))) |
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps)) |
(/.f64 (fma.f64 x x eps) (/.f64 (fma.f64 x x eps) (-.f64 (*.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 4) (*.f64 eps (fma.f64 x x eps))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (-.f64 (*.f64 x x) eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (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 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (/.f64 (fma.f64 x x eps) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.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 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (*.f64 (+.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 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps)))) |
(/.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) |
(fma.f64 (neg.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)) |
(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 (*.f64 x x) (sqrt.f64 -1))) 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 (*.f64 x x) (sqrt.f64 -1))) (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 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 1/2 (/.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 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(*.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 -1/2 (/.f64 x eps))) |
(+.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 (*.f64 -1/8 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 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.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 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
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(/.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 eps (*.f64 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 (pow.f64 x 12) (pow.f64 eps 6)) (*.f64 (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))) (fma.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (pow.f64 x 6)) (pow.f64 x 12))) |
(/.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 9159 to 3216 computations (64.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 5 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 6 | 357 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 26.1b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 29.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ▶ | 0.4b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
| ▶ | 61.7b | (*.f64 x 2) |
| ▶ | 33.9b | (*.f64 1/2 (/.f64 eps x)) |
Compiled 112 to 76 computations (32.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| ✓ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 42 to 12 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 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 | x | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1368× | associate-/r* |
| 1134× | *-commutative |
| 988× | associate-/l* |
| 822× | associate-/r/ |
| 532× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 274 | 52 |
| 2 | 3746 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 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 (/.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 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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 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(-.f64 (*.f64 x x) eps)))) (sqrt.f64 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 (cbrt.f64 (*.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (cbrt.f64 (*.f64 eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 *.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 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(*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))))) (#(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 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.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 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) (#(struct:change #<rule 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))))) |
(+.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (*.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 (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 (/.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 (sqrt.f64 eps) (/.f64 (sqrt.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 (cbrt.f64 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (fma.f64 x x eps) (*.f64 x x)))) |
(*.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 x x) (+.f64 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 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps 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 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 1 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (*.f64 eps (-.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))) (*.f64 eps (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(*.f64 (/.f64 eps (-.f64 (fma.f64 x x eps) (*.f64 x x))) (-.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 x x) (+.f64 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) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 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 (cbrt.f64 (*.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (cbrt.f64 (*.f64 eps eps)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) (*.f64 eps eps)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps)) |
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(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) |
(+.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 -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 -1/16 (/.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 -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)) |
(+.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 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))) (*.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) (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) |
(+.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 -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 -1/16 (/.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 -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 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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 (-.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)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 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 (-.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)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (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 (-.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)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (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 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (cbrt.f64 (*.f64 eps eps))) (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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (*.f64 eps eps)))) |
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(/.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 | eps | @ | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | x | @ | 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 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| ✓ | 0.1b | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 0.2b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
Compiled 62 to 21 computations (66.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (/.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 | @ | 0 | (/.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 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
| 1× | batch-egg-rewrite |
| 1226× | associate-/r* |
| 924× | associate-/r/ |
| 806× | associate-/l* |
| 330× | associate-+l+ |
| 314× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 64 |
| 1 | 331 | 58 |
| 2 | 4414 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
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(sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.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)))))) (#(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 |
| 1596× | associate-/l* |
| 1218× | associate-/r* |
| 890× | associate-*r* |
| 748× | associate-/l/ |
| 612× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 10863 |
| 1 | 1907 | 10333 |
| 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 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 eps 3)) (*.f64 -1/32 (pow.f64 eps 3))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))) |
(*.f64 2 (/.f64 x eps)) |
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 eps) (*.f64 1/8 eps))) (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))))) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))) |
(+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0))) |
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0)) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 1 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 1 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 0) (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) 1) |
(-.f64 (+.f64 (*.f64 0 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 eps (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) eps)) |
(/.f64 eps (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(/.f64 1 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) (*.f64 eps eps))) |
(/.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 eps eps)) (pow.f64 eps 3))) |
(/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 eps)) |
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps))) |
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 eps) 1))) |
(/.f64 (sqrt.f64 eps) (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) (*.f64 (sqrt.f64 eps) eps))) |
(/.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (cbrt.f64 eps) 1))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) (*.f64 (cbrt.f64 eps) eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (cbrt.f64 eps)))) |
(/.f64 (*.f64 eps eps) (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(/.f64 (*.f64 eps eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 eps))) |
(/.f64 (*.f64 eps eps) (/.f64 (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 eps eps)) eps)) |
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(/.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 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) -1) eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) -1) (*.f64 eps eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 -1 (*.f64 eps eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) eps) |
(/.f64 (/.f64 (*.f64 -1 (pow.f64 eps 3)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps 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))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.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)))))) |
(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 (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 (/.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 x x) (+.f64 eps (*.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 (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)) |
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps)) |
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3))) (+.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 1 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (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 (/.f64 1 (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.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)))))))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 -1 (neg.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 (/.f64 1 (cbrt.f64 (pow.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 (/.f64 1 (cbrt.f64 (pow.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 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (-.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 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.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))) |
(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 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 (*.f64 1/16 (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 1/16 (/.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 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 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 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.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 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.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 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 (*.f64 1/16 (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 1/16 (/.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 eps (/.f64 (pow.f64 x 3) eps)) (-.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 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 -1/2 (/.f64 eps x) (+.f64 x 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)))))) |
(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 2 x (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 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 -1/8 (*.f64 eps eps)))))))))) |
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(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.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 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (-.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 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (+.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 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) (pow.f64 x 3))))) |
(*.f64 (/.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) (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 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.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))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 30677 to 12576 computations (59% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1122 | 4 | 1126 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1125 | 7 | 1132 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 26.1b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ▶ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| ▶ | 34.0b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| ✓ | 33.9b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 64 to 42 computations (34.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
Compiled 26 to 17 computations (34.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| 0.0ms | eps | @ | 0 | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| 0.0ms | eps | @ | -inf | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1660× | add-sqr-sqrt |
| 1634× | *-un-lft-identity |
| 1538× | add-cube-cbrt |
| 1522× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 223 | 13 |
| 2 | 2640 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))))) |
| 1× | egg-herbie |
| 1074× | associate-+r- |
| 1074× | associate-+l- |
| 852× | distribute-lft-neg-in |
| 766× | associate-/l/ |
| 606× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 858 |
| 1 | 315 | 858 |
| 2 | 1507 | 858 |
| 3 | 5034 | 858 |
| 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 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0)) |
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x))) |
(+.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x))) |
(+.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1) |
(/.f64 eps (*.f64 x 2)) |
(/.f64 1 (/.f64 x (*.f64 eps 1/2))) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 eps 1/2) x) |
(/.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps))) |
(/.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2))) |
(/.f64 (*.f64 eps -1/2) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(/.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps) |
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps)) |
(/.f64 (*.f64 -1/2 eps) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x)) |
(/.f64 (/.f64 (*.f64 eps 1/2) 1) x) |
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2))) |
(/.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x))) |
(/.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps)) |
(/.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps))) |
(/.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps)) |
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps))) |
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x)) |
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3) |
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) |
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(+.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(+.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 eps (*.f64 x 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 1 (/.f64 x (*.f64 eps 1/2))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 eps 1/2) x) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 eps -1/2) (neg.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 -1/2 eps) (neg.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 eps 1/2) 1) x) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 eps (/.f64 1/2 x)) |
(/.f64 eps (/.f64 x 1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| 0.0b | (-.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)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 0.0ms | eps | @ | inf | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 0.0ms | x | @ | 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 | 29 |
| 1 | 259 | 29 |
| 2 | 3565 | 29 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 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 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 eps)) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (sqrt.f64 (cbrt.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 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(*.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 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 cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.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 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)))))))))) |
| 1× | egg-herbie |
| 1504× | distribute-lft-in |
| 1492× | distribute-rgt-in |
| 726× | associate-/l* |
| 612× | associate-+r+ |
| 508× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 6863 |
| 1 | 1074 | 6523 |
| 2 | 4536 | 6503 |
| 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 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) |
(/.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps))) |
(/.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps)))) |
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))) |
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (cbrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 -1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)) |
(/.f64 (sqrt.f64 (sqrt.f64 eps)) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (sqrt.f64 eps)))) |
(/.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 eps)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (cbrt.f64 eps)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (sqrt.f64 (cbrt.f64 (*.f64 eps eps))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (neg.f64 eps)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 (cbrt.f64 (*.f64 eps eps)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 (cbrt.f64 (*.f64 eps eps))))) |
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 eps -1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 1 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))) |
(/.f64 (neg.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 1 (*.f64 eps -1)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps 1)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) -1) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (+.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) 1) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 1) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 eps) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))) |
(/.f64 (*.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps (+.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) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 eps (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 eps (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
(/.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(pow.f64 (/.f64 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)))))) |
| 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 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 x -1) (*.f64 (*.f64 (*.f64 -1 (/.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 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.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 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.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))))) |
(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 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(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 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 1/16 (/.f64 (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 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)))) (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7))) |
(*.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))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 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))))))))) |
(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 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
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(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (neg.f64 eps) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (*.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 eps -1) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.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 eps (+.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 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 eps (+.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 eps (+.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 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (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 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) |
(/.f64 eps (*.f64 (*.f64 (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)))))) (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 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 eps (*.f64 (*.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)))))) (cbrt.f64 (pow.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)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (exp.f64 (/.f64 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)))) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 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)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(/.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)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| 0.0b | (-.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 27222 to 10577 computations (61.1% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1041 | 6 | 1047 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1042 | 12 | 1054 |
| Status | Error | Program |
|---|---|---|
| 52.1b | (/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) | |
| ▶ | 53.0b | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
| ▶ | 52.9b | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ▶ | 27.3b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| ▶ | 34.0b | (/.f64 1/2 (/.f64 x eps)) |
| ✓ | 26.1b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| ▶ | 34.0b | (*.f64 (/.f64 1/2 x) eps) |
| ✓ | 33.9b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 165 to 108 computations (34.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
Compiled 21 to 6 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | (+.f64 x (sqrt.f64 (neg.f64 eps))) |
| 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)))) |
| 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 1/2 x) eps) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1/2 x) eps) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/2 x) eps) |
| 0.0ms | eps | @ | inf | (*.f64 (/.f64 1/2 x) eps) |
| 0.0ms | eps | @ | -inf | (*.f64 (/.f64 1/2 x) eps) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/2 x) eps) |
| 1× | batch-egg-rewrite |
| 1452× | add-sqr-sqrt |
| 1428× | *-un-lft-identity |
| 1334× | add-cube-cbrt |
| 1318× | add-cbrt-cube |
| 1304× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 148 | 13 |
| 2 | 1798 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/2 x) eps) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x))))) (#(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 sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 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 |
| 1854× | distribute-rgt-in |
| 1842× | distribute-lft-in |
| 1122× | associate-*r* |
| 976× | associate-*l* |
| 650× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 598 |
| 1 | 144 | 598 |
| 2 | 550 | 598 |
| 3 | 4244 | 598 |
| 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 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 eps (*.f64 x 2)) |
(/.f64 1 (/.f64 x (*.f64 1/2 eps))) |
(/.f64 (*.f64 1/2 eps) x) |
(/.f64 (*.f64 eps -1/2) (neg.f64 x)) |
(/.f64 (*.f64 -1/2 eps) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 1/2 eps) 1) x) |
(/.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x)) |
(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) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 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 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1/2 (/.f64 x eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 eps (*.f64 x 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 1 (/.f64 x (*.f64 1/2 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 1/2 eps) x) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 eps -1/2) (neg.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 -1/2 eps) (neg.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (*.f64 1/2 eps) 1) x) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x)) |
(*.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)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1/2 (/.f64 x eps)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | x | @ | inf | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | x | @ | -inf | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | eps | @ | -inf | (/.f64 1/2 (/.f64 x eps)) |
| 0.0ms | eps | @ | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 35.6b | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 0.0ms | eps | @ | -inf | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 0.0ms | eps | @ | inf | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 1× | batch-egg-rewrite |
| 1638× | associate-*r/ |
| 1150× | associate-*l/ |
| 1022× | *-commutative |
| 696× | swap-sqr |
| 330× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 193 | 13 |
| 2 | 2835 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 eps (*.f64 x -2))) (*.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 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(sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (cbrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 eps (*.f64 x -2))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (sqrt.f64 eps))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 eps (*.f64 x 2)) (cbrt.f64 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 2) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2)))))))) |
| 1× | egg-herbie |
| 1934× | associate-+l- |
| 834× | *-commutative |
| 796× | associate--r+ |
| 508× | unswap-sqr |
| 420× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2754 |
| 1 | 599 | 2660 |
| 2 | 2560 | 2656 |
| 3 | 6101 | 2656 |
| 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 eps (*.f64 x 2)))) 1) |
(*.f64 eps (/.f64 1 (*.f64 x 2))) |
(*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 eps (*.f64 x 2)) 1) |
(*.f64 1 (/.f64 eps (*.f64 x 2))) |
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2))) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))) |
(*.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps)) |
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps)) |
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1)) |
(*.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2))) |
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 eps x) (/.f64 eps (*.f64 eps 2))) |
(*.f64 (/.f64 eps x) 1/2) |
(*.f64 (/.f64 eps 2) (/.f64 1 x)) |
(*.f64 (/.f64 eps 1) (/.f64 1 (*.f64 x 2))) |
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 x) (/.f64 eps 2)) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 eps eps) (*.f64 eps 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 eps (*.f64 eps 2)) (/.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 x 2)) eps) |
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (*.f64 eps eps) eps)) |
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 eps 1)) |
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2))) |
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps 2)) (/.f64 1 x)) |
(*.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x -2))) (*.f64 eps (neg.f64 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (cbrt.f64 eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) (/.f64 eps (sqrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) 2)) |
(*.f64 (/.f64 (sqrt.f64 eps) 2) (/.f64 (sqrt.f64 eps) x)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x 2))) |
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (/.f64 (sqrt.f64 eps) 1)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) 2)) |
(*.f64 (/.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (cbrt.f64 eps) x)) |
(*.f64 (/.f64 (cbrt.f64 eps) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x 2))) |
(*.f64 (/.f64 (cbrt.f64 eps) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 eps (*.f64 eps (*.f64 x -2))) (neg.f64 eps)) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps (*.f64 x 2)) (cbrt.f64 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 eps) 2)) |
(pow.f64 (/.f64 eps (*.f64 x 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 x 2) eps) -1) |
(neg.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))) 1)) |
(neg.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x -2))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))) |
(neg.f64 (/.f64 eps (*.f64 x -2))) |
(neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps))) |
(neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2)) |
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) |
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2)))) |
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 eps (/.f64 1 (*.f64 x 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (/.f64 eps (*.f64 x 2)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 1 (/.f64 eps (*.f64 x 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2))) |
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2))) |
(/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (pow.f64 eps 4)))) |
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) |
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2))) |
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps))) |
(*.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2))) |
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2))) |
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps))) |
(*.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
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(neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(neg.f64 (/.f64 eps (*.f64 x -2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps))) |
(neg.f64 (/.f64 eps (/.f64 (neg.f64 eps) (/.f64 eps (*.f64 x 2))))) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(/.f64 (*.f64 eps (/.f64 -1/2 x)) -1) |
(neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2))))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 1/2 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 eps eps) 1/2) |
| ✓ | 35.7b | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
Compiled 25 to 10 computations (60% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (*.f64 (*.f64 eps eps) 1/2) |
| 0.0ms | eps | @ | inf | (*.f64 (*.f64 eps eps) 1/2) |
| 0.0ms | eps | @ | 0 | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
| 0.0ms | eps | @ | inf | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
| 0.0ms | eps | @ | -inf | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
| 1× | batch-egg-rewrite |
| 1048× | *-commutative |
| 810× | unswap-sqr |
| 730× | swap-sqr |
| 666× | associate-/l/ |
| 618× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 194 | 26 |
| 2 | 2809 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(*.f64 (*.f64 eps eps) 1/2) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 x (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 eps eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 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 cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) (pow.f64 (*.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 log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))))))) |
| 1× | egg-herbie |
| 1198× | distribute-rgt-in |
| 1192× | distribute-lft-in |
| 740× | associate-/l* |
| 528× | associate-*l* |
| 514× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 4405 |
| 1 | 945 | 3975 |
| 2 | 4315 | 3975 |
| 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 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1) |
(*.f64 eps (/.f64 1/2 x)) |
(*.f64 eps (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x)))) |
(*.f64 eps (/.f64 (*.f64 eps 1/2) (*.f64 eps x))) |
(*.f64 (*.f64 eps eps) (*.f64 1/2 (/.f64 1 (*.f64 eps x)))) |
(*.f64 1/2 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 eps x))) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 eps eps)) |
(*.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 (*.f64 eps (sqrt.f64 1/2)) (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 (*.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 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x)))) |
(*.f64 (*.f64 eps 1/2) (/.f64 1 x)) |
(*.f64 (/.f64 1 (*.f64 eps x)) (*.f64 eps (*.f64 eps 1/2))) |
(*.f64 (/.f64 1/2 x) eps) |
(*.f64 (*.f64 eps (*.f64 eps -1/2)) (/.f64 1 (*.f64 x (neg.f64 eps)))) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x))) 1/2) |
(*.f64 (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x))) (*.f64 eps (sqrt.f64 1/2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x))) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4)))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps eps) 1) (/.f64 1/2 (*.f64 eps x))) |
(*.f64 (/.f64 1 eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) x)) |
(*.f64 (/.f64 1 x) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 1/2 eps) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (/.f64 (*.f64 eps eps) 1)) |
(*.f64 (/.f64 1/2 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(*.f64 (/.f64 eps eps) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(*.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps x))) (*.f64 eps eps)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 eps))) (*.f64 eps (*.f64 eps -1/2))) |
(*.f64 (/.f64 eps x) 1/2) |
(*.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps eps))) |
(*.f64 (/.f64 1/2 (/.f64 eps eps)) (/.f64 eps x)) |
(*.f64 (/.f64 (*.f64 eps 1/2) (*.f64 eps x)) eps) |
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x))) (/.f64 eps (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps 1/2) (cbrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps 1/2) (cbrt.f64 (*.f64 eps x))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))) (/.f64 1/2 (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) eps) (/.f64 (*.f64 eps (sqrt.f64 1/2)) x)) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) x) (/.f64 (*.f64 eps (sqrt.f64 1/2)) eps)) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) 1) (/.f64 (*.f64 eps (sqrt.f64 1/2)) (*.f64 eps x))) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) (*.f64 eps x)) (*.f64 eps (sqrt.f64 1/2))) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) (*.f64 eps x)) (/.f64 (*.f64 eps (sqrt.f64 1/2)) 1)) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps (sqrt.f64 1/2)) (cbrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) (cbrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) eps) (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) x) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) eps)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) x) (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) eps)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) eps) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) 1) (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (*.f64 eps x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (*.f64 eps x)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (sqrt.f64 (*.f64 eps x))) (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (sqrt.f64 (*.f64 eps x))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 eps (*.f64 eps x)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 x (neg.f64 eps))) -1/2) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps (sqrt.f64 1/2)))) (*.f64 eps (sqrt.f64 1/2))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))))) (cbrt.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 eps x)) (cbrt.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 4) (*.f64 eps (/.f64 x 1/2))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (pow.f64 (cbrt.f64 eps) 4)) (/.f64 eps (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (/.f64 (*.f64 eps eps) 1)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (/.f64 (*.f64 eps eps) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) (*.f64 eps (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) 1) (/.f64 eps (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (pow.f64 (cbrt.f64 eps) 4)) (/.f64 eps (pow.f64 (cbrt.f64 eps) 2))) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 (*.f64 eps eps) 1)) eps) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 (*.f64 eps eps) (sqrt.f64 eps))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (*.f64 (/.f64 eps (sqrt.f64 eps)) (sqrt.f64 (/.f64 1/2 x))) (*.f64 (/.f64 eps (sqrt.f64 eps)) (sqrt.f64 (/.f64 1/2 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 eps (sqrt.f64 eps))) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 eps (sqrt.f64 eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 eps 1/2)) -1/2) (pow.f64 (/.f64 x (*.f64 eps 1/2)) -1/2)) |
(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 x (*.f64 eps 1/2)) -1) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))) 1)) |
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 x (neg.f64 eps))))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))))) |
(neg.f64 (*.f64 (/.f64 eps eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))))) |
(neg.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) -2))) |
(neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps x))) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2)) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 eps x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1)) |
(pow.f64 (*.f64 eps (*.f64 eps 1/2)) 1) |
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) 1/3) |
(neg.f64 (*.f64 eps (*.f64 eps -1/2))) |
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))) |
| 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 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(*.f64 1/2 (pow.f64 eps 2)) |
(*.f64 1/2 (*.f64 eps eps)) |
(-.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 1/2 (/.f64 eps x)) |
(*.f64 eps (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 eps (/.f64 (*.f64 eps 1/2) (*.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) (*.f64 1/2 (/.f64 1 (*.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 eps eps)) |
(*.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 (*.f64 eps (sqrt.f64 1/2)) (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x)))) |
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x)) |
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x)) |
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) 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 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) |
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.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 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (/.f64 (/.f64 1 eps) x) (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) (*.f64 eps x))) |
(*.f64 (*.f64 eps 1/2) (/.f64 1 x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 eps x)) (*.f64 eps (*.f64 eps 1/2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 eps (*.f64 eps -1/2)) (/.f64 1 (*.f64 x (neg.f64 eps)))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x))) 1/2) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x))) (*.f64 eps (sqrt.f64 1/2))) |
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x)) |
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x)) |
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x))) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (/.f64 (/.f64 1 eps) x) (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) (*.f64 eps x))) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2)))) |
(*.f64 (/.f64 (*.f64 eps eps) 1) (/.f64 1/2 (*.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 x) (*.f64 eps 1/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x)))) |
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) |
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2)) |
(*.f64 (/.f64 1/2 eps) (/.f64 (*.f64 eps eps) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (/.f64 (*.f64 eps eps) 1)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2)))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) |
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2)) |
(*.f64 (/.f64 eps eps) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))) |
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) |
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2)) |
(*.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps x))) (*.f64 eps eps)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 eps))) (*.f64 eps (*.f64 eps -1/2))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) 1/2) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 (/.f64 eps eps)) (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 (*.f64 eps 1/2) (*.f64 eps x)) eps) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2)))) |
(*.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x))) (/.f64 eps (sqrt.f64 (*.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x)))) |
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))) |
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2)))) |
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 eps (sqrt.f64 eps))) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 eps (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (/.f64 eps (sqrt.f64 eps)) (*.f64 (/.f64 eps (sqrt.f64 eps)) (sqrt.f64 (/.f64 1/2 x))))) |
(*.f64 (/.f64 1/2 x) (*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 eps (sqrt.f64 eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3/2)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/6)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 eps 1/2)) -1/2) (pow.f64 (/.f64 x (*.f64 eps 1/2)) -1/2)) |
(*.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 x (*.f64 eps 1/2)) -1) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps)))) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))) 1)) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 x (neg.f64 eps))))) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))))) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (*.f64 (/.f64 eps eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (neg.f64 eps))))) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) -2))) |
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 eps -2))) |
(/.f64 (neg.f64 (/.f64 eps x)) -2) |
(neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2)) |
(fabs.f64 (*.f64 1/2 (/.f64 eps x))) |
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 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)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 eps x) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (*.f64 eps eps)) 3) (pow.f64 (*.f64 eps x) 3))) |
(cbrt.f64 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 eps eps) 3)) (pow.f64 (*.f64 eps x) 3))) |
(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)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1) |
(*.f64 1/2 (*.f64 eps eps)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))) (*.f64 1/2 (*.f64 eps eps))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps)))))) |
(pow.f64 (*.f64 eps (*.f64 eps 1/2)) 1) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) 3) |
(*.f64 1/2 (*.f64 eps eps)) |
(pow.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) 1/3) |
(*.f64 1/2 (*.f64 eps eps)) |
(neg.f64 (*.f64 eps (*.f64 eps -1/2))) |
(*.f64 1/2 (*.f64 eps eps)) |
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps))) |
(*.f64 1/2 (*.f64 eps eps)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps 1/2))))) |
(*.f64 1/2 (*.f64 eps eps)) |
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3)) |
(*.f64 1/2 (*.f64 eps eps)) |
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 1/2 (*.f64 eps eps)) |
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 1/2 (*.f64 eps eps)) |
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))) |
(*.f64 1/2 (*.f64 eps eps)) |
Compiled 5985 to 3326 computations (44.4% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 13 | 453 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 440 | 25 | 465 |
| Status | Error | Program |
|---|---|---|
| 52.1b | (/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) | |
| ✓ | 53.0b | (/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
| ✓ | 52.9b | (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
| 33.9b | (/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 27.3b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 56.5b | (/.f64 eps x) | |
| ✓ | 34.0b | (/.f64 1/2 (/.f64 x eps)) |
| 60.8b | (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) | |
| ✓ | 26.1b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 29.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 53.6b | (*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) | |
| 53.4b | (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) | |
| 52.1b | (*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) | |
| 52.1b | (*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) | |
| 40.1b | (*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) | |
| 52.9b | (*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) | |
| 40.1b | (*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) | |
| ✓ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| 50.2b | (*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) | |
| 53.1b | (*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) | |
| ✓ | 34.0b | (*.f64 (/.f64 1/2 x) eps) |
| 41.1b | (*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) | |
| ✓ | 33.9b | (*.f64 1/2 (/.f64 eps x)) |
| 61.7b | x |
Compiled 265 to 176 computations (33.6% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
3 calls:
| 43.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 14.0ms | eps |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | eps |
| 0.3b | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 273 to 132 computations (51.6% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 1/2 (/.f64 eps x)) |
3 calls:
| 55.0ms | eps |
| 45.0ms | x |
| 42.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Error | Segments | Branch |
|---|---|---|
| 6.6b | 4 | x |
| 10.7b | 4 | eps |
| 1.3b | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 223 to 118 computations (47.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.134742040095398e-151 | -9.233731050900921e-156 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
(-.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 1/2 (/.f64 eps x)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 55.0ms | eps |
| 46.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 4 | x |
| 10.7b | 4 | eps |
Compiled 205 to 108 computations (47.3% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.9726498472457266e-77 | 2.87542850660806e-77 |
| 13.0ms | 1.6938396849709966e-83 | 5.717386473808874e-82 |
| 17.0ms | 9.419419677007727e-99 | 3.6860436500154807e-96 |
| 26.0ms | 238× | body | 256 | valid |
| 10.0ms | 63× | body | 512 | valid |
| 3.0ms | 30× | body | 256 | invalid |
| 1.0ms | 3× | body | 1024 | valid |
Compiled 335 to 246 computations (26.6% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 162.0ms | x |
| 152.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 7.3b | 4 | x |
| 11.8b | 4 | eps |
Compiled 198 to 106 computations (46.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.9726498472457266e-77 | 2.87542850660806e-77 |
| 31.0ms | 1.6938396849709966e-83 | 5.717386473808874e-82 |
| 14.0ms | 1.1494770618276364e-115 | 5.339491155115352e-114 |
| 37.0ms | 229× | body | 256 | valid |
| 8.0ms | 56× | body | 512 | valid |
| 3.0ms | 35× | body | 256 | invalid |
| 1.0ms | 3× | body | 1024 | valid |
Compiled 303 to 226 computations (25.4% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 1/2 (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x))) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x)) |
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps) |
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps)) |
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1) |
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps)) |
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x)) |
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps) |
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2) |
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps)) |
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps) |
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 55.0ms | eps |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.9b | 1 | x |
| 33.9b | 1 | eps |
Compiled 193 to 104 computations (46.1% saved)
| Inputs |
|---|
x |
(*.f64 x 2) |
(/.f64 eps x) |
| Outputs |
|---|
(/.f64 eps x) |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 56.5b | 1 | x |
| 56.5b | 1 | eps |
Compiled 15 to 9 computations (40% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
(*.f64 x 2) |
| Outputs |
|---|
x |
2 calls:
| 5.0ms | x |
| 3.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 61.7b | 1 | x |
| 61.7b | 1 | eps |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 16× | +-commutative |
| 12× | sub-neg |
| 8× | *-commutative |
| 6× | neg-mul-1 |
| 6× | if-if-or-not |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 277 |
| 1 | 63 | 269 |
| 2 | 75 | 269 |
| 3 | 83 | 265 |
| 4 | 86 | 265 |
| 5 | 87 | 265 |
| 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))) -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x))) |
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))))) |
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 eps x) |
x |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x))) |
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))))) |
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (or (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (not (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064))) (*.f64 1/2 (/.f64 eps x)) (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))))) |
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (or (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (not (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))) (*.f64 1/2 (/.f64 eps x)) (-.f64 x (sqrt.f64 (neg.f64 eps))))) |
(if (or (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (not (or (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (not (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))) |
(if (or (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (and (not (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608)) (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 eps x) |
x |
Compiled 110 to 67 computations (39.1% saved)
| 2× | egg-herbie |
| 1080× | associate-+r- |
| 980× | associate-+r+ |
| 968× | fma-def |
| 964× | +-commutative |
| 740× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 13411 |
| 1 | 1695 | 12657 |
| 2 | 7887 | 12657 |
| 0 | 479 | 9289 |
| 1 | 1451 | 8639 |
| 2 | 6672 | 8639 |
| 1× | node limit |
| 1× | node limit |
Compiled 136 to 38 computations (72.1% saved)
Compiled 98 to 45 computations (54.1% saved)
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