Time bar (total: 4.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 68.7% | 18.7% | 12.5% | 5 |
| 71.8% | 9.4% | 18.8% | 6 |
| 73.4% | 4.7% | 21.9% | 7 |
| 74.2% | 2.3% | 23.5% | 8 |
| 74.6% | 1.2% | 24.3% | 9 |
| 75% | 0.6% | 24.5% | 10 |
| 75.1% | 0.3% | 24.6% | 11 |
| 75.1% | 0.1% | 24.7% | 12 |
Compiled 8 to 6 computations (25% saved)
| 1.1s | 2695× | body | 1024 | valid |
| 544.0ms | 1400× | body | 512 | valid |
| 392.0ms | 3871× | body | 256 | valid |
| 145.0ms | 290× | body | 2048 | valid |
| 1.0ms | 10× | body | 256 | invalid |
| 2× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 11 to 7 computations (36.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
Compiled 8 to 3 computations (62.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | inf | (/.f64 (expm1.f64 x) x) |
| 1.0ms | x | @ | 0 | (/.f64 (expm1.f64 x) x) |
| 1× | batch-egg-rewrite |
| 449× | pow1_binary64 |
| 430× | add-sqr-sqrt_binary64 |
| 424× | *-un-lft-identity_binary64 |
| 417× | add-log-exp_binary64 |
| 417× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 83 | 6 |
| 2 | 1104 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | associate-/l/_binary64 |
| 536× | unswap-sqr_binary64 |
| 495× | associate-*l*_binary64 |
| 448× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 1 | 60 | 85 |
| 2 | 120 | 85 |
| 3 | 325 | 79 |
| 4 | 816 | 76 |
| 5 | 2522 | 76 |
| 6 | 4510 | 76 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 345 to 161 computations (53.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 3 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 4 | 41 |
| Status | Error | Program |
|---|---|---|
| 20.5b | 1 | |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 0.0b | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| ▶ | 20.9b | (+.f64 (*.f64 1/2 x) 1) |
Compiled 20 to 15 computations (25% saved)
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| ✓ | 0.0b | (/.f64 x (expm1.f64 x)) |
Compiled 15 to 6 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (expm1.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 x (expm1.f64 x)) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| 1.0ms | x | @ | -inf | (/.f64 x (expm1.f64 x)) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| 1× | batch-egg-rewrite |
| 605× | pow1_binary64 |
| 565× | add-log-exp_binary64 |
| 565× | log1p-expm1-u_binary64 |
| 565× | expm1-log1p-u_binary64 |
| 551× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 125 | 12 |
| 2 | 1558 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (expm1.f64 x)) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 933× | fma-def_binary64 |
| 803× | unswap-sqr_binary64 |
| 585× | associate-/l/_binary64 |
| 562× | times-frac_binary64 |
| 385× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 176 |
| 1 | 88 | 170 |
| 2 | 187 | 170 |
| 3 | 521 | 158 |
| 4 | 1475 | 155 |
| 5 | 3045 | 155 |
| 6 | 5017 | 155 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1/2 x 1) (*.f64 1/12 (*.f64 x x))) |
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)) |
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/12) 1)) |
(fma.f64 x (fma.f64 x 1/12 -1/2) 1) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 x 1) (*.f64 1/12 (*.f64 x x)))) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) |
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1))) |
(fma.f64 x (fma.f64 x 1/12 -1/2) (fma.f64 -1/720 (pow.f64 x 4) 1)) |
(fma.f64 x (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 -1/2)) 1) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1)) |
(fma.f64 x (*.f64 x 1/6) (fma.f64 x 1/2 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) (fma.f64 x 1/2 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Compiled 855 to 417 computations (51.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 2 | 86 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 85 | 5 | 90 |
| Status | Error | Program |
|---|---|---|
| 20.5b | 1 | |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 39.9b | (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) -1) |
| ▶ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ✓ | 20.9b | (+.f64 (*.f64 1/2 x) 1) |
Compiled 33 to 24 computations (27.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0b | (/.f64 x (expm1.f64 x)) |
Compiled 15 to 6 computations (60% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| 1× | batch-egg-rewrite |
| 606× | pow1_binary64 |
| 562× | add-log-exp_binary64 |
| 562× | log1p-expm1-u_binary64 |
| 562× | expm1-log1p-u_binary64 |
| 548× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 124 | 6 |
| 2 | 1584 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 x (expm1.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))))))) |
| 1× | egg-herbie |
| 688× | times-frac_binary64 |
| 636× | associate-/l/_binary64 |
| 536× | unswap-sqr_binary64 |
| 495× | associate-*l*_binary64 |
| 448× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 1 | 60 | 85 |
| 2 | 120 | 85 |
| 3 | 325 | 79 |
| 4 | 816 | 76 |
| 5 | 2522 | 76 |
| 6 | 4510 | 76 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) -1) |
| ✓ | 0.0b | (/.f64 1 (expm1.f64 x)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
Compiled 41 to 20 computations (51.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
| 2.0ms | x | @ | -inf | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
| 2.0ms | x | @ | -inf | (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
| 2.0ms | x | @ | inf | (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) -1) |
| 1× | batch-egg-rewrite |
| 894× | pow1_binary64 |
| 830× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 808× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 204 | 29 |
| 2 | 2393 | 29 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) |
(/.f64 1 (expm1.f64 x)) |
(pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 x) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (expm1.f64 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 (expm1.f64 x) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) -1) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x (pow.f64 (expm1.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (expm1.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 x)) -1) (pow.f64 (sqrt.f64 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (expm1.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (/.f64 x (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1 (/.f64 (sqrt.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (expm1.f64 x))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -1/2) (pow.f64 (/.f64 x (expm1.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (expm1.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -1/2) (sqrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (/.f64 x (expm1.f64 x))))))))) |
| 1× | egg-herbie |
| 539× | associate-*l*_binary64 |
| 509× | div-sub_binary64 |
| 452× | fma-def_binary64 |
| 423× | associate-*r*_binary64 |
| 373× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 264 |
| 1 | 135 | 258 |
| 2 | 350 | 256 |
| 3 | 1000 | 246 |
| 4 | 4818 | 246 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1/2) |
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1/2 x 1) (*.f64 1/12 (*.f64 x x))) |
(fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)) |
(+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2))) |
(fma.f64 x (fma.f64 x 1/12 -1/2) 1) |
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))) |
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 x 1) (*.f64 1/12 (*.f64 x x)))) |
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) |
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 1 (*.f64 x (fma.f64 x 1/12 -1/2)))) |
(fma.f64 x (fma.f64 x 1/12 -1/2) (fma.f64 -1/720 (pow.f64 x 4) 1)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(/.f64 x (-.f64 (exp.f64 x) 1)) |
(/.f64 x (expm1.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(/.f64 x (expm1.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x) (-.f64 (exp.f64 x) 1))) |
(/.f64 x (expm1.f64 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1/2) |
(+.f64 (/.f64 1 x) -1/2) |
(+.f64 -1/2 (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2) |
(+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) |
(+.f64 -1/2 (fma.f64 x 1/12 (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) |
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2) |
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))) -1/2) |
(+.f64 -1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) |
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) -1/2)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
(/.f64 1 (-.f64 (exp.f64 x) 1)) |
(/.f64 1 (expm1.f64 x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(fma.f64 x 1/2 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1)) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 3) 1/24))) |
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 1))) |
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) 1))) |
(fma.f64 x 1/2 (fma.f64 x (*.f64 x (fma.f64 x 1/24 1/6)) 1)) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
Compiled 2172 to 1149 computations (47.1% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 3 | 196 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 195 | 6 | 201 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.4b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| ▶ | 40.0b | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 20.5b | 1 | |
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ✓ | 20.9b | (+.f64 (*.f64 1/2 x) 1) |
Compiled 41 to 31 computations (24.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 0.0b | (/.f64 1 (expm1.f64 x)) | |
| 0.1b | (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) | |
| 0.1b | (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))) |
Compiled 40 to 19 computations (52.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 1× | batch-egg-rewrite |
| 855× | pow1_binary64 |
| 791× | add-log-exp_binary64 |
| 791× | log1p-expm1-u_binary64 |
| 791× | expm1-log1p-u_binary64 |
| 771× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 186 | 9 |
| 2 | 2319 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (/.f64 x (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -1/2) (pow.f64 (/.f64 x (expm1.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1 (/.f64 (sqrt.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (/.f64 x (expm1.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 x (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (/.f64 x (expm1.f64 x))))))))) |
| 1× | egg-herbie |
| 716× | associate-/l*_binary64 |
| 546× | fma-def_binary64 |
| 525× | unswap-sqr_binary64 |
| 467× | associate-/r/_binary64 |
| 286× | div-sub_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 87 |
| 1 | 78 | 85 |
| 2 | 195 | 85 |
| 3 | 553 | 79 |
| 4 | 2096 | 76 |
| 5 | 6468 | 76 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 x (*.f64 x 1/6) (fma.f64 1/2 x 1)) |
(fma.f64 x (fma.f64 x 1/6 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3))))) |
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1))) |
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 (expm1.f64 x) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
Compiled 19 to 15 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| 1× | batch-egg-rewrite |
| 688× | pow1_binary64 |
| 641× | log1p-expm1-u_binary64 |
| 641× | expm1-log1p-u_binary64 |
| 640× | add-log-exp_binary64 |
| 628× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 151 | 8 |
| 2 | 1827 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1)) (fma.f64 -1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x)))))))) |
| 1× | egg-herbie |
| 724× | fma-neg_binary64 |
| 686× | times-frac_binary64 |
| 450× | fma-def_binary64 |
| 417× | cancel-sign-sub-inv_binary64 |
| 398× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 193 |
| 1 | 112 | 179 |
| 2 | 306 | 177 |
| 3 | 985 | 171 |
| 4 | 3002 | 171 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/4 (*.f64 x x))) |
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1)) |
(fma.f64 x (fma.f64 x 1/4 1/2) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 (*.f64 x x) (fma.f64 x 1/8 1/4) 1)) |
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) |
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))) (/.f64 -2 x)) |
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))) |
(+.f64 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) |
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))) (/.f64 -2 x)) |
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) (/.f64 -8 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4))))))) |
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))) |
(+.f64 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 16 (pow.f64 x 4)))) |
Compiled 1744 to 1097 computations (37.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 3 | 149 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 147 | 8 | 155 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.4b | (/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 x) x) |
| 20.5b | 1 | |
| 60.0b | (-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) | |
| ✓ | 40.0b | (/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
| 58.9b | (/.f64 -2 x) | |
| ✓ | 0.0b | (/.f64 1 (/.f64 x (expm1.f64 x))) |
| ✓ | 20.9b | (+.f64 (*.f64 1/2 x) 1) |
Compiled 55 to 41 computations (25.5% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) |
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (/.f64 x (expm1.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(/.f64 1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))) |
(pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x)))) -1) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
3 calls:
| 46.0ms | x |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 90 to 57 computations (36.7% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(-.f64 (/.f64 (/.f64 -4 x) x) (/.f64 2 x)) |
| Outputs |
|---|
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.4b | 1 | x |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
| Outputs |
|---|
(/.f64 -2 x) |
(+.f64 (*.f64 1/2 x) 1) |
1 calls:
| 46.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.4b | 2 | x |
Compiled 14 to 11 computations (21.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -15536970.310850685 | -0.8385166373940333 |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -2 x) |
| Outputs |
|---|
(/.f64 -2 x) |
1 |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.8b | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -15536970.310850685 | -0.8385166373940333 |
Compiled 11 to 8 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.5b | 1 | x |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 45 |
| 1 | 25 | 45 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(if (<=.f64 x -8341347420503331/536870912) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1)) |
(if (<=.f64 x -8341347420503331/536870912) (/.f64 -2 x) 1) |
1 |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1)) |
(/.f64 1 (+.f64 1 (*.f64 x -1/2))) |
(if (<=.f64 x -8341347420503331/536870912) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1)) |
(if (<=.f64 x -8341347420503331/536870912) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2))) |
(if (<=.f64 x -8341347420503331/536870912) (/.f64 -2 x) 1) |
1 |
Compiled 37 to 29 computations (21.6% saved)
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 15 | 6 |
| 2 | 18 | 6 |
| 3 | 22 | 6 |
| 4 | 30 | 6 |
| 5 | 40 | 6 |
| 6 | 59 | 6 |
| 7 | 100 | 6 |
| 8 | 145 | 6 |
| 9 | 223 | 6 |
| 10 | 352 | 6 |
| 11 | 511 | 6 |
| 12 | 583 | 6 |
| 13 | 619 | 6 |
| 1× | saturated |
Compiled 12 to 8 computations (33.3% saved)
Compiled 33 to 25 computations (24.2% saved)
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