Time bar (total: 8.6s)
| 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)
| 888.0ms | 5923× | body | 256 | valid |
| 295.0ms | 1094× | body | 1024 | valid |
| 264.0ms | 1209× | body | 512 | valid |
| 17.0ms | 175× | body | 256 | invalid |
| 12.0ms | 30× | body | 2048 | valid |
| 2× | egg-herbie |
| 332× | fma-def |
| 150× | associate--r+ |
| 124× | associate-+l- |
| 108× | associate-+l+ |
| 96× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 24 | 46 |
| 2 | 38 | 46 |
| 3 | 66 | 46 |
| 4 | 103 | 46 |
| 5 | 219 | 46 |
| 6 | 570 | 46 |
| 7 | 713 | 46 |
| 8 | 908 | 46 |
| 9 | 944 | 46 |
| 10 | 954 | 46 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 182× | fma-def |
| 110× | associate--r+ |
| 76× | associate-+l- |
| 62× | distribute-lft-in |
| 60× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 15 | 23 |
| 2 | 23 | 23 |
| 3 | 37 | 23 |
| 4 | 57 | 23 |
| 5 | 105 | 23 |
| 6 | 271 | 23 |
| 7 | 353 | 23 |
| 8 | 440 | 23 |
| 9 | 529 | 23 |
| 10 | 577 | 23 |
| 11 | 581 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 22.9b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| ✓ | 0.0b | (-.f64 (*.f64 x x) eps) |
| ✓ | 3.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 26 to 6 computations (76.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | eps | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | x | @ | 0 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0.0ms | eps | @ | inf | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| 1× | batch-egg-rewrite |
| 924× | *-commutative |
| 868× | associate-*r/ |
| 656× | associate-*l/ |
| 648× | distribute-lft-in |
| 638× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 53 |
| 1 | 200 | 53 |
| 2 | 2841 | 53 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (*.f64 x x) eps) |
(sqrt.f64 (-.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)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (sqrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.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) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
| 1× | egg-herbie |
| 1136× | fma-def |
| 898× | associate-*r* |
| 678× | associate-*l* |
| 616× | associate-/l* |
| 558× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 15441 |
| 1 | 1874 | 14569 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -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 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1 x)))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(+.f64 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))))) |
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(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)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 1 1/2)) |
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (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 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 1 (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 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (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 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (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 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (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 (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))) (cbrt.f64 (sqrt.f64 (-.f64 (*.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) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x) |
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x))) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (*.f64 eps (*.f64 eps -1/8)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) x) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5))))) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 -1 eps) |
(neg.f64 eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(+.f64 (*.f64 -1 eps) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2)) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2)))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (*.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))))) |
x |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 -1/2 (/.f64 eps x) x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x)) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)) |
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x |
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(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.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) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 1 1/2)) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(*.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 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (fma.f64 x x eps))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) |
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
Compiled 10567 to 3979 computations (62.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 415 | 10 | 425 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 415 | 11 | 426 |
| Status | Error | Program |
|---|---|---|
| 0.7b | (/.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) | |
| ▶ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 59.5b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.9b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 26.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 61.3b | (-.f64 x x) | |
| 12.5b | (*.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) | |
| 0.4b | (*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) | |
| ▶ | 61.8b | (*.f64 x 2) |
| ▶ | 37.0b | (*.f64 1/2 (/.f64 eps x)) |
| ▶ | 32.4b | (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
Compiled 308 to 174 computations (43.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 0.3b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 42 to 12 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 2.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1368× | associate-/r* |
| 1134× | *-commutative |
| 988× | associate-/l* |
| 822× | associate-/r/ |
| 532× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 274 | 52 |
| 2 | 3746 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x))))) |
| 1× | egg-herbie |
| 980× | associate-+r+ |
| 964× | +-commutative |
| 740× | associate-+l+ |
| 732× | times-frac |
| 682× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 479 | 9289 |
| 1 | 1451 | 8639 |
| 2 | 6672 | 8639 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) |
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(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (*.f64 1 (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 1 (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2)) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 eps (/.f64 (pow.f64 x 5) (*.f64 -1/8 (*.f64 eps eps)))))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 eps 3) -1/8) (pow.f64 x 5)) (*.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))))))))) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))))) |
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (fma.f64 (/.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) x)) |
(*.f64 2 x) |
(*.f64 x 2) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
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(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x))) |
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(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (/.f64 (*.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5))))) |
(*.f64 1/2 (/.f64 eps x)) |
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))) |
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x)))) |
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2)) (pow.f64 x 7)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(*.f64 x 2) |
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(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
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(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3)))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
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(/.f64 (*.f64 eps (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
(*.f64 (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps eps))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (cbrt.f64 eps))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
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(*.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))) |
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(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (/.f64 eps (-.f64 (fma.f64 x x eps) (*.f64 x x)))) |
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(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (*.f64 x (+.f64 x x)) eps))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 x x)) eps))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 x (*.f64 x (fma.f64 x x (neg.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x (+.f64 x x)) eps))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) 2)) |
(fabs.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x) |
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x) |
(+.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x) |
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) x) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 13 to 6 computations (53.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
Compiled 14 to 5 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | eps | @ | -inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 0.0ms | x | @ | inf | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 1× | batch-egg-rewrite |
| 1618× | add-sqr-sqrt |
| 1600× | *-un-lft-identity |
| 1494× | add-cube-cbrt |
| 1480× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 170 | 11 |
| 2 | 2321 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))))))) |
| 1× | egg-herbie |
| 1436× | associate-/l* |
| 1146× | associate-+l+ |
| 1124× | associate-*r* |
| 954× | associate-*l* |
| 740× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1082 |
| 1 | 261 | 962 |
| 2 | 1031 | 900 |
| 3 | 4662 | 898 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
x |
(+.f64 x (neg.f64 (sqrt.f64 eps))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(*.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(*.f64 1 (-.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2)) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps)))) |
(fma.f64 1 x (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x) |
x |
(+.f64 x (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1)) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps))) |
(fma.f64 -1 (pow.f64 eps 1/2) x) |
(-.f64 x (pow.f64 eps 1/2)) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) x) |
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 eps)) (cbrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 1 (-.f64 x (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2)) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(*.f64 (+.f64 (pow.f64 eps 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4))) |
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 eps) (sqrt.f64 eps))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 eps)) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) eps)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x))) |
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps))) |
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3) |
(-.f64 x (sqrt.f64 eps)) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3) |
(-.f64 x (sqrt.f64 eps)) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2)) |
(-.f64 x (sqrt.f64 eps)) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
(-.f64 x (sqrt.f64 eps)) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3)) |
(-.f64 x (sqrt.f64 eps)) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1)) |
(-.f64 x (sqrt.f64 eps)) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps)))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 1 x (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(-.f64 x (sqrt.f64 eps)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| ✓ | 0.3b | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 3.0b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 11.1b | (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
Compiled 48 to 12 computations (75% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 2.0ms | x | @ | inf | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 1.0ms | eps | @ | -inf | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 1.0ms | eps | @ | 0 | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| 1× | batch-egg-rewrite |
| 1084× | associate-*r/ |
| 1032× | *-commutative |
| 782× | associate-*l/ |
| 766× | distribute-lft-in |
| 752× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 52 |
| 1 | 265 | 52 |
| 2 | 3342 | 52 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
| Outputs |
|---|
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x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))))))) |
| 1× | egg-herbie |
| 1184× | associate-*r* |
| 1144× | associate-/l* |
| 1064× | associate-*l* |
| 740× | *-commutative |
| 720× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 779 | 25524 |
| 1 | 2256 | 22784 |
| 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 (*.f64 (cbrt.f64 -1) x)) |
(+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (cbrt.f64 -1)) (pow.f64 x 5))) (+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.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 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3)))))) |
(+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3))))))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (+.f64 (*.f64 1/64 (pow.f64 eps 4)) (*.f64 1/16 (pow.f64 eps 4)))) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2))) (pow.f64 x 9))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (+.f64 (*.f64 1/64 (pow.f64 eps 4)) (*.f64 1/16 (pow.f64 eps 4)))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 eps (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))))) (*.f64 1/64 (pow.f64 eps 5)))) (pow.f64 x 9))) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 6) (pow.f64 x 9))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/64 (pow.f64 eps 4)) (*.f64 1/16 (pow.f64 eps 4)))) (pow.f64 x 9))) (*.f64 1/32 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))))))))) |
(*.f64 8 (pow.f64 x 3)) |
(+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 4 eps) (*.f64 2 eps)) x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -2 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))) x)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 4 eps) (*.f64 2 eps)) x)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -2 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2)))))) x)) (+.f64 (*.f64 8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 eps) (*.f64 2 eps)) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 3)) (+.f64 (*.f64 -2 (+.f64 (*.f64 -1/4 (pow.f64 eps 3)) (*.f64 1/8 (pow.f64 eps 3)))) (+.f64 (*.f64 1/2 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/2 (pow.f64 eps 2))))) (*.f64 -1/4 (pow.f64 eps 3))))) (pow.f64 x 3)))))) |
(*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 3/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 3/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (*.f64 9/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))) |
(+.f64 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))) (pow.f64 x 2)))) x)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (pow.f64 x 3))) (*.f64 9/512 (/.f64 1 (pow.f64 x 9)))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 3/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (*.f64 9/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)))))) |
(+.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)))) |
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) 3) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (-.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (neg.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) 3) 1) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 3) 1) (pow.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.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))))) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (*.f64 (*.f64 (+.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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) 1) (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (sqrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 6)) |
(log.f64 (exp.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
(exp.f64 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x) |
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x) |
(+.f64 (*.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 (*.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) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (pow.f64 (sqrt.f64 -1) 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 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 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2)) (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) (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2)) (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 (*.f64 (cbrt.f64 -1) x)) |
(*.f64 -2 (*.f64 x (cbrt.f64 -1))) |
(*.f64 (cbrt.f64 -1) (*.f64 x -2)) |
(+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x))) |
(fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (/.f64 eps (/.f64 x (cbrt.f64 -1))))) |
(fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (*.f64 (/.f64 eps x) (cbrt.f64 -1)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x)))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 eps eps) (cbrt.f64 -1)) (pow.f64 x 3)) (fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (/.f64 eps (/.f64 x (cbrt.f64 -1)))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (cbrt.f64 -1)) (fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (*.f64 (/.f64 eps x) (cbrt.f64 -1))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (cbrt.f64 -1)) (pow.f64 x 5))) (+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 (*.f64 eps (cbrt.f64 -1)) x))))) |
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 eps eps) (cbrt.f64 -1)) (pow.f64 x 3)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (cbrt.f64 -1))) (fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (/.f64 eps (/.f64 x (cbrt.f64 -1))))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (cbrt.f64 -1)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (cbrt.f64 -1)) (fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 1/2 (*.f64 (/.f64 eps x) (cbrt.f64 -1)))))) |
(*.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 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) x) (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)))))) |
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3)))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3))))) |
(fma.f64 (fma.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) x (neg.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (pow.f64 eps 3)))))) |
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(-.f64 (+.f64 1 x) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
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(/.f64 (*.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) |
(/.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 6)) |
(log.f64 (exp.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
(fma.f64 x (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))) |
(fma.f64 x (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 3)) |
(fma.f64 x (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
(fma.f64 x (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
(exp.f64 (*.f64 3 (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(pow.f64 (exp.f64 3) (log.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))) |
(fma.f64 x (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) |
(pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) |
Compiled 40318 to 15040 computations (62.7% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1360 | 7 | 1367 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1366 | 12 | 1378 |
| Status | Error | Program |
|---|---|---|
| 26.4b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| ▶ | 0.6b | (/.f64 (+.f64 eps 0) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| ▶ | 36.5b | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 24.5b | (/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| ▶ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 59.5b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 22.9b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 26.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ▶ | 61.3b | (-.f64 x x) |
| ▶ | 0.4b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
| ✓ | 37.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 229 to 148 computations (35.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 (*.f64 x x) eps)) | |
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 36 to 7 computations (80.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1420× | associate-*r/ |
| 1090× | *-commutative |
| 1034× | associate-*l/ |
| 930× | associate-/r* |
| 748× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 224 | 29 |
| 2 | 3277 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
| 1× | egg-herbie |
| 1056× | associate-/l* |
| 962× | times-frac |
| 958× | associate-*r/ |
| 742× | associate-/r* |
| 596× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 3129 |
| 1 | 560 | 2809 |
| 2 | 2070 | 2753 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1)) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (pow.f64 x 3))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (*.f64 x x) (*.f64 1 x))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (/.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (sqrt.f64 -1) (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (sqrt.f64 -1)))) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (*.f64 x x) (*.f64 1 x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps (*.f64 eps 1/8)) (pow.f64 x 3))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) -1/8)) (pow.f64 x 5)))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (/.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 3) -1/8)) (pow.f64 x 5))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 eps 4) 5/64) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) -1/8)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps eps)) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (+.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps eps)) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (+.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps) |
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Compiled 6 to 3 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 0.1b | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
Compiled 46 to 23 computations (50% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | 0 | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1× | batch-egg-rewrite |
| 1692× | associate-/l* |
| 1262× | associate-/r/ |
| 816× | associate-/l/ |
| 278× | add-sqr-sqrt |
| 270× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 63 |
| 1 | 285 | 63 |
| 2 | 3981 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x) |
| Outputs |
|---|
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x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 eps x) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 eps x))))))) |
| 1× | egg-herbie |
| 932× | associate-*r* |
| 808× | times-frac |
| 748× | associate-/l* |
| 734× | associate-*l* |
| 676× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 10772 |
| 1 | 1656 | 10158 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
x |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 -1/2 (/.f64 eps x)) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 eps (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 1 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(fma.f64 1 (fma.f64 -1/2 (/.f64 eps x) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)) |
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x)))) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 -1/2 (/.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (/.f64 x (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x))))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1) |
(*.f64 1 (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (fma.f64 -1/2 (/.f64 eps x) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))))) |
(/.f64 (fma.f64 -1/2 (/.f64 eps x) x) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) |
(pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 -1/2 (/.f64 eps x) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 1 x (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps))))) |
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (pow.f64 x 5) (*.f64 eps eps)))))) |
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps) (*.f64 x -2)))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
x |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
(*.f64 -1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) -1/2) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (*.f64 (neg.f64 eps) 1) (-.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
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(/.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(/.f64 eps (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
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(/.f64 (neg.f64 eps) (neg.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)))) (pow.f64 (cbrt.f64 eps) 2)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2)) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
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(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
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(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) 1/4)) (-.f64 (*.f64 (/.f64 x (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) x) x)) |
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(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 eps x) x) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 (/.f64 eps x) -1/2 x)) |
(+.f64 (fma.f64 (/.f64 eps x) -1/2 (expm1.f64 (log1p.f64 x))) x) |
(-.f64 (+.f64 (+.f64 x x) (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 eps x))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2))) 1) (+.f64 x x)) |
(fma.f64 x 2 (expm1.f64 (log1p.f64 (*.f64 (/.f64 eps x) -1/2)))) |
(*.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) 3) (pow.f64 x 6))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) (-.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) 3) (pow.f64 x 6))) (fma.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) (-.f64 (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)) (*.f64 x x)) (pow.f64 x 4))) |
(/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 1 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (/.f64 1 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x))))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (-.f64 (fma.f64 (/.f64 eps x) -1/2 x) x)))) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (/.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
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(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
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(exp.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
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(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)) |
(fma.f64 1 x (fma.f64 -1/2 (/.f64 eps x) x)) |
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x)) |
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (pow.f64 (/.f64 eps x) 2)) 1/16) (*.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 4) 1/16) (*.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 x x))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 eps x) 2) 3) 1/64) (pow.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (pow.f64 (/.f64 eps x) 2)) 1/16) (*.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) (-.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (fma.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) (-.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (pow.f64 (/.f64 eps x) 4) 1/16))) (fma.f64 (pow.f64 (/.f64 eps x) 6) 1/64 (pow.f64 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))) 3))) |
(/.f64 (fma.f64 -1/2 (/.f64 eps x) x) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) 1/4)) (*.f64 (/.f64 x (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x))) (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (neg.f64 (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (neg.f64 (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x)))) (-.f64 (*.f64 (/.f64 eps x) -1/2) x))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x)))))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (neg.f64 (*.f64 x x)))) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (neg.f64 (*.f64 x x))))) (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (neg.f64 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x)))) (/.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (neg.f64 x))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)))) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))))) |
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (/.f64 (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 x (*.f64 -1/2 (/.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (+.f64 x (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (+.f64 x (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) (pow.f64 (/.f64 eps x) 3)) 1/64) (pow.f64 x 6)) (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))) (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (neg.f64 (pow.f64 x 3))))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 6) 1/64 (neg.f64 (pow.f64 x 6))) (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (pow.f64 (/.f64 eps x) 2)) 1/16) (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x x)))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 4) 1/16 (neg.f64 (pow.f64 x 4))) (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) (fma.f64 x x (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (*.f64 (pow.f64 (pow.f64 (/.f64 eps x) 3) 3) -1/512)) (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) (pow.f64 (/.f64 eps x) 3)) 1/64) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 eps x) 3) (*.f64 -1/8 (pow.f64 x 3))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 eps x) 3) 3) -1/512 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (-.f64 (fma.f64 (pow.f64 (/.f64 eps x) 6) 1/64 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 eps x) 2) 3) 1/64) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 (/.f64 eps x) -1/2) x) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) (pow.f64 (/.f64 eps x) 2)) 1/16) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x x)))))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 6) 1/64 (neg.f64 (pow.f64 x 6))) (-.f64 (*.f64 (/.f64 eps x) -1/2) x)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (*.f64 (pow.f64 (/.f64 eps x) 4) 1/16))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (+.f64 x (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (+.f64 x (*.f64 1/2 (/.f64 eps x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 3) -1/8) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (/.f64 eps x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (*.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))))))) |
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) 3) -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 1/2 (/.f64 eps x))) (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4)))) |
(pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 1) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 3) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 1/3) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) |
(fabs.f64 (fma.f64 (/.f64 eps x) -1/2 x)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1)) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 -1/2 (/.f64 eps x) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 1 x (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) x) |
(fma.f64 (/.f64 eps x) -1/2 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (/.f64 eps x))) |
(fma.f64 (/.f64 eps x) -1/2 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (*.f64 x x) eps) | |
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 0.2b | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
Compiled 49 to 12 computations (75.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | eps | @ | -inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1608× | associate-*r/ |
| 1284× | associate-*l/ |
| 712× | associate-/r* |
| 548× | associate-/l* |
| 296× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 259 | 58 |
| 2 | 3565 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) |
| 1× | egg-herbie |
| 926× | associate-+r+ |
| 888× | associate-+l+ |
| 816× | +-commutative |
| 792× | associate-/l* |
| 516× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 8892 |
| 1 | 1398 | 8334 |
| 2 | 5974 | 8316 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))) |
(+.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))) |
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(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1) |
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x)))))) |
(fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))) |
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 eps (/.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) -1/8))))))))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (/.f64 -1/4 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 eps 3) -1/8)))))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) |
(/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x eps)) |
(+.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))))) |
(fma.f64 -1 (*.f64 (*.f64 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2) (*.f64 x x)) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))) |
(+.f64 (/.f64 x eps) (fma.f64 (*.f64 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) -1/2) (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (-.f64 (/.f64 x eps) (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 x x))))) |
(+.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)))))) |
(fma.f64 -1 (*.f64 (*.f64 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2) (*.f64 x x)) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2)) (sqrt.f64 -1)))) (pow.f64 x 3) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))))) |
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (*.f64 eps eps)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 x eps)) (fma.f64 (*.f64 (*.f64 (/.f64 -1 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) -1/2) (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) |
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(/.f64 eps (+.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 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 (neg.f64 eps) -1) (+.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) (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 (*.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 (*.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 (/.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 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))) |
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(pow.f64 (/.f64 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)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 (+.f64 eps 0))) |
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) |
(/.f64 (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) |
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| ✓ | 0.1b | (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 0.3b | (/.f64 (+.f64 eps 0) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
Compiled 66 to 18 computations (72.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
| 2.0ms | eps | @ | inf | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
| 1.0ms | eps | @ | inf | (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| 1× | batch-egg-rewrite |
| 1648× | associate-/r* |
| 1118× | associate-/l* |
| 986× | associate-/r/ |
| 334× | associate-+l+ |
| 304× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 79 |
| 1 | 338 | 79 |
| 2 | 4143 | 79 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
(/.f64 (+.f64 eps 0) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1062× | +-commutative |
| 1006× | associate-*r* |
| 738× | times-frac |
| 736× | associate-*l* |
| 692× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 585 | 11466 |
| 1 | 1736 | 10416 |
| 2 | 7846 | 10416 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (pow.f64 x 2)) (+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
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(*.f64 (pow.f64 (sqrt.f64 2) 2) x) |
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(*.f64 1/2 (/.f64 eps x)) |
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(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
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(*.f64 1/2 (/.f64 eps x)) |
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(*.f64 2 x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
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(*.f64 (sqrt.f64 (sqrt.f64 -1)) (pow.f64 (*.f64 eps 1) 1/4)) |
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(*.f64 (sqrt.f64 2) (sqrt.f64 x)) |
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(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
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(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 1 x)) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) (/.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 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (exp.f64 (log1p.f64 x))) 1) |
(*.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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
(*.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
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(*.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 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (-.f64 (fma.f64 x x eps) (*.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 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4)) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4)) |
(*.f64 (*.f64 (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 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (fma.f64 x x eps) (*.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 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (fma.f64 x x eps) (*.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (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 (fma.f64 x x eps) (*.f64 x x)) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) (-.f64 (+.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 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1) |
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(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
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(/.f64 (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 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) |
(/.f64 (pow.f64 (cbrt.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 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 x x (-.f64 (-.f64 (*.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 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))))) |
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(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(log.f64 (+.f64 1 (expm1.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))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(hypot.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) |
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (pow.f64 x 2)) (+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))) |
(fma.f64 (-.f64 (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)) |
(fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) 3/4) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (*.f64 x x) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1)))) (*.f64 1/4 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (pow.f64 x 2)) (+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))) |
(fma.f64 (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (sqrt.f64 -1)))))) (pow.f64 x 3) (fma.f64 (-.f64 (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x))) |
(fma.f64 (fma.f64 1/4 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1/2 (sqrt.f64 -1))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) -1/4)) (pow.f64 x 3) (fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) 3/4) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (/.f64 1 eps) 1/4))) 2)) (*.f64 x x) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x))) |
(*.f64 (pow.f64 (sqrt.f64 2) 2) x) |
(*.f64 x (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 x 2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x (pow.f64 (sqrt.f64 2) 2))) |
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) x) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3)))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (pow.f64 (sqrt.f64 2) 2) x (*.f64 (fma.f64 -1 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2)) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 eps eps)))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (-.f64 (/.f64 1/32 (pow.f64 x 3)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1/4 (sqrt.f64 2))) 2))) (*.f64 eps eps) (*.f64 x 2))) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) x) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 2)))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 2)))))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3))))))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (pow.f64 (sqrt.f64 2) 2) x (fma.f64 (pow.f64 eps 3) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 x x))) (neg.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 x x)))) (/.f64 1/16 (pow.f64 x 5))))) (*.f64 (fma.f64 -1 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) 2)) (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 2)))) (*.f64 eps eps))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1/4 (sqrt.f64 2))) 2)) (*.f64 x x))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1/4 (sqrt.f64 2))) 2)) (*.f64 x x))) (/.f64 1/16 (pow.f64 x 5)))) (*.f64 eps (*.f64 eps (-.f64 (/.f64 1/32 (pow.f64 x 3)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 -1/4 (sqrt.f64 2))) 2)))))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x))) |
(+.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) (/.f64 1 (sqrt.f64 -1))) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) -1) (sqrt.f64 -1)) -1/2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (/.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (sqrt.f64 -1) (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) -1) (sqrt.f64 -1)) -1/2)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) -1) (sqrt.f64 -1)) -1/2))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(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 1/16 (/.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 (pow.f64 (sqrt.f64 2) 2)) |
(*.f64 x 2) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x (pow.f64 (sqrt.f64 2) 2))) |
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps 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 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (*.f64 x 2))) |
(+.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))))))))) |
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(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(hypot.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x)) |
(hypot.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (sqrt.f64 x)) |
(hypot.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) |
(hypot.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/2)) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) |
Compiled 49346 to 21596 computations (56.2% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1750 | 7 | 1757 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1754 | 15 | 1769 |
| Status | Error | Program |
|---|---|---|
| 26.4b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| 36.5b | (/.f64 (+.f64 eps 0) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) | |
| 60.5b | (/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) | |
| ▶ | 0.6b | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| ▶ | 36.5b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ▶ | 24.5b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| ▶ | 59.5b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 22.9b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 26.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 61.3b | (-.f64 x x) |
| 37.1b | (*.f64 (/.f64 1/2 x) eps) | |
| ▶ | 60.5b | (*.f64 x -2) |
| ✓ | 37.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 248 to 164 computations (33.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | |
| 0.1b | (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) | |
| ✓ | 0.3b | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 0.5b | (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) |
Compiled 60 to 13 computations (78.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 0.0ms | eps | @ | -inf | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 0.0ms | eps | @ | inf | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 0.0ms | x | @ | 0 | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 0.0ms | x | @ | -inf | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 1× | batch-egg-rewrite |
| 1656× | associate-*r/ |
| 1324× | associate-*l/ |
| 1056× | associate-/r* |
| 292× | associate-+l+ |
| 278× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 288 | 29 |
| 2 | 3674 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 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 1 (+.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 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.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))))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 (/.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 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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)))))))))) (#(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 (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 (*.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 (*.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 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 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 |
| 1156× | fma-def |
| 906× | associate-/l* |
| 898× | times-frac |
| 794× | associate-*r/ |
| 650× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 2624 |
| 1 | 549 | 2348 |
| 2 | 1966 | 2300 |
| 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 1 (+.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 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (cbrt.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)))) 2))) |
(*.f64 (cbrt.f64 (pow.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 (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 (/.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 (+.f64 eps (-.f64 (*.f64 x x) (*.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 (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 (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 (*.f64 eps eps)) 1) (/.f64 (cbrt.f64 eps) (+.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)))))) |
(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)))))) |
(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 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 1/8 (*.f64 (/.f64 eps (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)))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 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 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 x x) (*.f64 x 1))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))) |
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.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 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x)))) |
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1/2 (sqrt.f64 -1))) (sqrt.f64 -1)))) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1/2 (sqrt.f64 -1))) (*.f64 x x) (*.f64 x 1)))) |
(*.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 1/8 (*.f64 (/.f64 eps (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)))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)) |
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) |
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))) |
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) |
(fma.f64 x 2 (fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8 (*.f64 (/.f64 eps x) -1/2))) |
(+.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 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 -1/4 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 eps 3) -1/8)))))))) |
(fma.f64 x 2 (fma.f64 (/.f64 eps x) -1/2 (fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 eps 4) 5/64) (*.f64 eps (pow.f64 x 5))) (*.f64 -1/4 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) -1/8)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (/.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))))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (cbrt.f64 (pow.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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))) |
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 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 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps (+.f64 eps 0)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 eps eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.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))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 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 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.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 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 (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 (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 (*.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)) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))) |
(*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (+.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 (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 eps)) (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)) |
(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)))) |
(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)))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) | |
| ✓ | 3.0b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
Compiled 29 to 13 computations (55.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | eps | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | 0 | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| 1× | batch-egg-rewrite |
| 1564× | associate-*l/ |
| 1128× | associate-/r* |
| 1090× | *-commutative |
| 760× | associate-/l* |
| 746× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 212 | 21 |
| 2 | 3107 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) |
| 1× | egg-herbie |
| 1570× | associate-/r/ |
| 1288× | +-commutative |
| 1026× | associate--r+ |
| 862× | associate--l+ |
| 640× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 8503 |
| 1 | 1116 | 7139 |
| 2 | 5373 | 7131 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 1/2) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) (neg.f64 x))) |
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) (neg.f64 x))) |
(+.f64 x (-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) x)) |
(+.f64 x (-.f64 (*.f64 (/.f64 eps x) 1/2) x)) |
(+.f64 x (-.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) x)) |
(+.f64 x (-.f64 (*.f64 (*.f64 -1/2 (/.f64 eps x)) -1) x)) |
(+.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) x)) |
(+.f64 x (-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) x)) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (neg.f64 x)) |
(+.f64 (+.f64 x (*.f64 (/.f64 eps x) 1/2)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) 1) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) |
(pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(log.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(exp.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 1 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps x) 0)) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))))) |
(+.f64 x (+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)) (*.f64 (/.f64 eps x) 0))) |
(+.f64 (+.f64 x (*.f64 (/.f64 eps x) 0)) (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 1/2) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) (neg.f64 x))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (neg.f64 (*.f64 -1/2 (/.f64 eps x))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (/.f64 eps x) 1/2) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 -1/2 (neg.f64 (/.f64 eps x))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (*.f64 -1/2 (/.f64 eps x)) -1) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 x (-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2))) x)) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 (/.f64 eps x) 0)) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)) (*.f64 (/.f64 eps x) 0))) |
(+.f64 (+.f64 x (*.f64 (/.f64 eps x) 0)) (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 2 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 2 (*.f64 (/.f64 eps x) 0) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 x (+.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0)) (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 0) (+.f64 (*.f64 (/.f64 eps x) 0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))))))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x))) |
(+.f64 (*.f64 (/.f64 eps x) 0) (+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)) (*.f64 (/.f64 eps x) 0)))) |
(+.f64 (*.f64 (/.f64 eps x) 0) (+.f64 (+.f64 x (*.f64 (/.f64 eps x) 0)) (*.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) 2)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 x (+.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)))) (*.f64 (/.f64 eps x) 0)) (*.f64 (/.f64 eps x) 0))) |
(+.f64 x (+.f64 (*.f64 (/.f64 eps x) 0) (+.f64 (*.f64 (/.f64 eps x) 0) (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))))))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x))) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 x)) (fma.f64 (/.f64 eps x) -1/2 x)) (*.f64 1/2 (/.f64 eps x))) |
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(/.f64 (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4)) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (fma.f64 x x (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))) (*.f64 1/2 (/.f64 eps x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) 3)) (*.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 4)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2) (fma.f64 x x (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 6) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 6))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) 1) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (*.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3)) (fma.f64 x x (*.f64 (fma.f64 (/.f64 eps x) -1/2 x) (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))) |
(pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) |
(*.f64 1/2 (/.f64 eps x)) |
(pow.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3) 1/3) |
(*.f64 1/2 (/.f64 eps x)) |
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 2)) |
(fabs.f64 (*.f64 1/2 (/.f64 eps x))) |
(log.f64 (exp.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)) |
(*.f64 1/2 (/.f64 eps x)) |
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(exp.f64 (log.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 1 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 1/2 (/.f64 eps x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 -1/2 (/.f64 eps x)) x) | |
| 0.0b | (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) | |
| ✓ | 0.1b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
Compiled 40 to 18 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | -inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | x | @ | inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 0.0ms | eps | @ | inf | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| 1× | batch-egg-rewrite |
| 1344× | associate-/l* |
| 920× | distribute-rgt-in |
| 890× | distribute-lft-in |
| 540× | associate-/r/ |
| 262× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 234 | 27 |
| 2 | 3459 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 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eps x) x))))))))) |
| 1× | egg-herbie |
| 1326× | associate-*r/ |
| 922× | associate-/r* |
| 920× | fma-def |
| 828× | associate-*l/ |
| 738× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 5579 |
| 1 | 722 | 5509 |
| 2 | 2471 | 5161 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)) |
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(*.f64 1/2 (/.f64 eps x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(+.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x)))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(+.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) x) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 x x)) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(+.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))) (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 -1 (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 x (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)) (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (*.f64 (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (*.f64 (*.f64 x x) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1) |
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 eps 1) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (*.f64 eps (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (*.f64 eps (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) (neg.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) 1) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 (/.f64 eps 1) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) eps) -1) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 (*.f64 1/2 eps) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) |
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)))) |
(fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (/.f64 (*.f64 1/2 eps) x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5)))) |
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) |
(fma.f64 1/2 (/.f64 eps x) (fma.f64 1/8 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) (*.f64 (/.f64 1/32 (pow.f64 x 5)) (pow.f64 eps 3)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) |
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (*.f64 1/32 (pow.f64 eps 3)) (pow.f64 x 5))))) |
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(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) |
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (cbrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(/.f64 (*.f64 eps (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(/.f64 (*.f64 eps (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 (/.f64 eps 1) 1) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps 1) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(/.f64 (*.f64 eps (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (neg.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps 1) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)))) |
(/.f64 (*.f64 eps (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))) |
(*.f64 (/.f64 (/.f64 eps 1) (-.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2) (*.f64 x x))) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x)) |
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)) (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3/2))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3/2))) (sqrt.f64 (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))))) (sqrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (*.f64 (sqrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2))))) (sqrt.f64 (/.f64 (*.f64 1/2 eps) x))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (-.f64 (fma.f64 -1/2 (/.f64 eps x) x) x))))) |
(*.f64 (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 3))))) (cbrt.f64 (fma.f64 (fma.f64 (/.f64 eps x) -1/2 x) (fma.f64 (/.f64 eps x) -1/2 0) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 eps (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) (cbrt.f64 (-.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 eps x) -1/2 x) 2)))) (cbrt.f64 (/.f64 (*.f64 1/2 eps) x))) |
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) eps) -1) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(neg.f64 (/.f64 eps (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(*.f64 (neg.f64 eps) (/.f64 1 (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x)))) |
(/.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 (neg.f64 eps) (-.f64 (-.f64 (/.f64 (*.f64 1/2 eps) x) x) x)) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1)) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) |
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) |
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
Compiled 21 to 6 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1.0ms | eps | @ | -inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1.0ms | eps | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 0.0ms | x | @ | inf | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 0.0ms | x | @ | 0 | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 1× | batch-egg-rewrite |
| 1968× | add-sqr-sqrt |
| 1950× | *-un-lft-identity |
| 1824× | add-cube-cbrt |
| 1804× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 194 | 28 |
| 2 | 2827 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(+.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps)))))) |
| 1× | egg-herbie |
| 1278× | associate-*r/ |
| 1066× | unswap-sqr |
| 852× | associate-*l/ |
| 602× | *-commutative |
| 480× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 2462 |
| 1 | 537 | 2224 |
| 2 | 2522 | 2158 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps x) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(*.f64 1 (+.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x)) |
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps)))) |
(fma.f64 1 x (sqrt.f64 eps)) |
(fma.f64 1 (sqrt.f64 eps) x) |
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps)) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps)) |
| Outputs |
|---|
(/.f64 eps x) |
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) |
(+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) |
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))) |
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (*.f64 -1 (sqrt.f64 -1)) x))) (/.f64 x -1))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (neg.f64 (sqrt.f64 -1))) x) x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))))) |
(-.f64 (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (*.f64 -1 (sqrt.f64 -1)) x))) (/.f64 x -1))) (/.f64 (pow.f64 x 3) eps)) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (neg.f64 (sqrt.f64 -1))) x) x) (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 (pow.f64 x 3) eps))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) |
(-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (*.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 eps x) (-.f64 (*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5))))))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (-.f64 (/.f64 (*.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (pow.f64 eps 5/2) (*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps))) |
(/.f64 eps x) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)) |
(fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) |
(-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) |
(-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))) |
(+.f64 (/.f64 eps x) (-.f64 (/.f64 (*.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))) |
(+.f64 (/.f64 eps x) (-.f64 (*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))) |
(+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 eps x)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (-.f64 (/.f64 (*.f64 (neg.f64 eps) eps) (pow.f64 x 3)) (/.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (pow.f64 eps 5)))) (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 eps x) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (pow.f64 eps 3/2))) (fma.f64 (/.f64 1 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (pow.f64 eps 5/2) (*.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) eps))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) |
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) x) |
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x) |
x |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps))) |
(*.f64 eps (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))) |
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 eps (-.f64 (neg.f64 x) (sqrt.f64 eps))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1)) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) |
(/.f64 eps (+.f64 x (sqrt.f64 eps))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1) |
(+.f64 x (sqrt.f64 eps)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 eps)) x)) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(-.f64 (/.f64 x (-.f64 1 (/.f64 (sqrt.f64 eps) x))) (/.f64 eps (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 1 (+.f64 x (sqrt.f64 eps))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps)))) |
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps)) |
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x)) |
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3) |
(+.f64 x (sqrt.f64 eps)) |
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3) |
(+.f64 x (sqrt.f64 eps)) |
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2)) |
(+.f64 x (sqrt.f64 eps)) |
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps))))) |
(+.f64 x (sqrt.f64 eps)) |
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3)) |
(+.f64 x (sqrt.f64 eps)) |
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1)) |
(+.f64 x (sqrt.f64 eps)) |
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps)))) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 1 x (sqrt.f64 eps)) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 1 (sqrt.f64 eps) x) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x) |
(+.f64 x (pow.f64 eps 1/2)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps)) |
(+.f64 x (sqrt.f64 eps)) |
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps)) |
(+.f64 x (sqrt.f64 eps)) |
Compiled 32131 to 15775 computations (50.9% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1112 | 4 | 1116 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 1115 | 16 | 1131 |
| Status | Error | Program |
|---|---|---|
| 26.4b | (/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) | |
| 37.2b | (/.f64 (*.f64 (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x) (*.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (*.f64 (/.f64 eps x) -1/2)) x)) | |
| ✓ | 0.6b | (/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
| 36.5b | (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) | |
| ✓ | 36.5b | (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
| ✓ | 0.3b | (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
| ✓ | 24.5b | (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| 60.5b | (/.f64 eps (*.f64 (/.f64 eps x) -1/2)) | |
| 56.9b | (/.f64 eps x) | |
| ✓ | 59.5b | (-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
| ✓ | 22.9b | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 26.4b | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 37.1b | (*.f64 (/.f64 1/2 x) eps) | |
| ✓ | 60.5b | (*.f64 x -2) |
| ✓ | 37.0b | (*.f64 1/2 (/.f64 eps x)) |
| 61.8b | x |
Compiled 169 to 107 computations (36.7% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 eps (*.f64 (/.f64 eps x) -1/2)) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (*.f64 (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x) (*.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (*.f64 (/.f64 eps x) -1/2)) x)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps) |
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)) |
(/.f64 eps (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(/.f64 (+.f64 eps 0) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) |
(*.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) |
(/.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
3 calls:
| 16.0ms | eps |
| 15.0ms | x |
| 14.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | eps |
| 0.3b | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 336 to 128 computations (61.9% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 eps (*.f64 (/.f64 eps x) -1/2)) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (*.f64 (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x) (*.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (*.f64 (/.f64 eps x) -1/2)) x)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
3 calls:
| 41.0ms | x |
| 39.0ms | eps |
| 19.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Error | Segments | Branch |
|---|---|---|
| 7.1b | 4 | x |
| 8.3b | 4 | eps |
| 0.6b | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 168 to 85 computations (49.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.004805010293425e-152 | -1.848197227091848e-156 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 eps (*.f64 (/.f64 eps x) -1/2)) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (*.f64 (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x) (*.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (*.f64 (/.f64 eps x) -1/2)) x)) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 42.0ms | eps |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.6b | 2 | x |
| 9.2b | 4 | eps |
Compiled 141 to 72 computations (48.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.187987868291375e-113 | 3.39769556870748e-111 |
| 10.0ms | 95× | body | 256 | valid |
| 3.0ms | 17× | body | 512 | valid |
| 2.0ms | 20× | body | 256 | invalid |
Compiled 169 to 115 computations (32% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 eps (*.f64 (/.f64 eps x) -1/2)) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 (+.f64 eps 0) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))) |
(/.f64 (*.f64 (+.f64 (+.f64 x (*.f64 1/2 (/.f64 eps x))) x) (*.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (*.f64 (/.f64 eps x) -1/2)) x)) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
2 calls:
| 9.0ms | eps |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 36.5b | 1 | x |
| 36.5b | 1 | eps |
Compiled 129 to 67 computations (48.1% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 1/2 x) eps) |
(/.f64 eps (*.f64 (/.f64 eps x) -1/2)) |
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)) |
(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 eps x)) |
2 calls:
| 8.0ms | eps |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.0b | 1 | x |
| 37.0b | 1 | eps |
Compiled 56 to 29 computations (48.2% saved)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
(/.f64 eps x) |
| Outputs |
|---|
(/.f64 eps x) |
2 calls:
| 5.0ms | x |
| 4.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 56.9b | 1 | x |
| 56.9b | 1 | eps |
Compiled 21 to 12 computations (42.9% saved)
Total -1.7b remaining (-2.8%)
Threshold costs -1.7b (-2.8%)
| Inputs |
|---|
x |
(*.f64 x -2) |
(*.f64 x 2) |
(-.f64 x x) |
| Outputs |
|---|
(*.f64 x -2) |
2 calls:
| 6.0ms | x |
| 4.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 60.5b | 1 | x |
| 60.5b | 1 | eps |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 20× | +-commutative |
| 14× | *-commutative |
| 12× | sub-neg |
| 6× | neg-mul-1 |
| 6× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 228 |
| 1 | 54 | 228 |
| 2 | 63 | 228 |
| 3 | 68 | 228 |
| 4 | 70 | 228 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))) |
(if (<=.f64 x 4129220003451409/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(*.f64 1/2 (/.f64 eps x)) |
(/.f64 eps x) |
(*.f64 x -2) |
x |
| Outputs |
|---|
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -4717453031026927/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 x 2)))) |
(if (<=.f64 x 4129220003451409/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))) |
(if (<=.f64 x 4129220003451409/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))) |
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))) |
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))) |
(*.f64 1/2 (/.f64 eps x)) |
(*.f64 (/.f64 eps x) 1/2) |
(/.f64 eps x) |
(*.f64 x -2) |
x |
Compiled 99 to 59 computations (40.4% saved)
| 2× | egg-herbie |
| 1136× | fma-def |
| 980× | associate-+r+ |
| 964× | +-commutative |
| 898× | associate-*r* |
| 740× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 15441 |
| 1 | 1874 | 14569 |
| 0 | 479 | 9289 |
| 1 | 1451 | 8639 |
| 2 | 6672 | 8639 |
| 1× | node limit |
| 1× | node limit |
Compiled 136 to 38 computations (72.1% saved)
Compiled 85 to 38 computations (55.3% saved)
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