Time bar (total: 2.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 50% | 50% | 0.1% | 2 |
| 50% | 50% | 0.1% | 3 |
| 74.9% | 25% | 0.1% | 4 |
| 74.9% | 25% | 0.1% | 5 |
| 74.9% | 18.7% | 6.3% | 6 |
| 74.9% | 18.7% | 6.3% | 7 |
| 74.9% | 15.6% | 9.5% | 8 |
| 74.9% | 15.6% | 9.5% | 9 |
| 74.9% | 14% | 11% | 10 |
| 74.9% | 14% | 11% | 11 |
| 74.9% | 13.3% | 11.8% | 12 |
| 74.9% | 13.3% | 11.8% | 13 |
| 74.9% | 12.9% | 12.2% | 14 |
Compiled 8 to 6 computations (25% saved)
| 728.0ms | 5843× | body | 128 | valid |
| 716.0ms | 1389× | body | 1024 | valid |
| 301.0ms | 688× | body | 1024 | invalid |
| 217.0ms | 707× | body | 512 | valid |
| 104.0ms | 341× | body | 512 | invalid |
| 63.0ms | 313× | body | 256 | valid |
| 37.0ms | 187× | body | 256 | invalid |
| 26.0ms | 219× | body | 128 | invalid |
| 4.0ms | 4× | body | 2048 | valid |
| 2× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 11 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (exp.f64 im) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (exp.f64 im) (cos.f64 re)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 7 | 8 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
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 |
|---|---|---|
| ▶ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | im | @ | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | re | @ | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | re | @ | -inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | im | @ | -inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1× | batch-egg-rewrite |
| 530× | pow1_binary64 |
| 483× | add-log-exp_binary64 |
| 483× | log1p-expm1-u_binary64 |
| 483× | expm1-log1p-u_binary64 |
| 471× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 113 | 8 |
| 2 | 1324 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))))) |
| 1× | egg-herbie |
| 760× | fma-def_binary64 |
| 582× | associate-*l*_binary64 |
| 568× | distribute-lft-out_binary64 |
| 448× | distribute-rgt-out_binary64 |
| 415× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 152 |
| 1 | 105 | 150 |
| 2 | 269 | 142 |
| 3 | 868 | 122 |
| 4 | 3279 | 118 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) |
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))) |
(exp.f64 re) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re)) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (*.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))) |
| Outputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(fma.f64 (cos.f64 im) re (cos.f64 im)) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) |
(fma.f64 1/2 (*.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))) |
(fma.f64 1/2 (*.f64 (cos.f64 im) (*.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im))) |
(*.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (*.f64 re (*.f64 re 1/2)))) |
(*.f64 (cos.f64 im) (fma.f64 1/2 (*.f64 re re) (+.f64 re 1))) |
(fma.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re) (cos.f64 im)) |
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))) |
(fma.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (*.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))) |
(fma.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (*.f64 (cos.f64 im) (*.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im)))) |
(fma.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2)) (*.f64 (cos.f64 im) (+.f64 (*.f64 1/6 (pow.f64 re 3)) (+.f64 re 1)))) |
(*.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (*.f64 (*.f64 re re) (+.f64 1/2 (*.f64 re 1/6))))) |
(*.f64 (cos.f64 im) (+.f64 (fma.f64 re (*.f64 re 1/2) re) (fma.f64 1/6 (pow.f64 re 3) 1))) |
(exp.f64 re) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re)) |
(fma.f64 -1/2 (*.f64 (exp.f64 re) (*.f64 im im)) (exp.f64 re)) |
(fma.f64 -1/2 (*.f64 im (*.f64 im (exp.f64 re))) (exp.f64 re)) |
(fma.f64 (exp.f64 re) (*.f64 im (*.f64 im -1/2)) (exp.f64 re)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im -1/2) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re))) |
(fma.f64 -1/2 (*.f64 (exp.f64 re) (*.f64 im im)) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re))) |
(fma.f64 -1/2 (*.f64 im (*.f64 im (exp.f64 re))) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re))) |
(+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 im (*.f64 im -1/2)) (*.f64 1/24 (pow.f64 im 4))))) |
(*.f64 (exp.f64 re) (+.f64 (*.f64 im (*.f64 im -1/2)) (fma.f64 1/24 (pow.f64 im 4) 1))) |
(*.f64 (exp.f64 re) (+.f64 (*.f64 -1/2 (*.f64 im im)) (fma.f64 1/24 (pow.f64 im 4) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (*.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))) |
(fma.f64 -1/2 (*.f64 (exp.f64 re) (*.f64 im im)) (+.f64 (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (*.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6))))) |
(fma.f64 -1/2 (*.f64 im (*.f64 im (exp.f64 re))) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (fma.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)) (exp.f64 re)))) |
(+.f64 (fma.f64 (exp.f64 re) (*.f64 1/24 (pow.f64 im 4)) (exp.f64 re)) (*.f64 (exp.f64 re) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 im (*.f64 im -1/2))))) |
(fma.f64 (exp.f64 re) (fma.f64 -1/720 (pow.f64 im 6) (*.f64 im (*.f64 im -1/2))) (*.f64 (exp.f64 re) (fma.f64 1/24 (pow.f64 im 4) 1))) |
(*.f64 (exp.f64 re) (+.f64 (fma.f64 1/24 (pow.f64 im 4) 1) (fma.f64 -1/720 (pow.f64 im 6) (*.f64 -1/2 (*.f64 im im))))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 1 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 2 | 28 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ▶ | 23.5b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
Compiled 320 to 165 computations (48.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ✓ | 0.1b | (*.f64 (cos.f64 im) re) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | 0 | (*.f64 (cos.f64 im) re) |
| 1.0ms | im | @ | 0 | (*.f64 (cos.f64 im) re) |
| 0.0ms | im | @ | 0 | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| 0.0ms | re | @ | inf | (*.f64 (cos.f64 im) re) |
| 0.0ms | re | @ | -inf | (*.f64 (cos.f64 im) re) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 661× | log1p-expm1-u_binary64 |
| 661× | expm1-log1p-u_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 129 | 15 |
| 2 | 1783 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) re))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 1 re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 (cos.f64 im) (-.f64 re 1))) (/.f64 (pow.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) (-.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 im) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 im) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 2)) (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 (cos.f64 im) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (pow.f64 (cos.f64 im) 2)) (/.f64 1 (*.f64 (cos.f64 im) (-.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re 1) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 (cos.f64 im) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (cos.f64 im) (-.f64 re 1)) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (pow.f64 (cos.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 (cos.f64 im) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3)) (+.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 re (pow.f64 (cos.f64 im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (pow.f64 (cos.f64 im) 2)) (*.f64 (cos.f64 im) (-.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (*.f64 (cos.f64 im) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) re) 2) (pow.f64 (cos.f64 im) 2))) (neg.f64 (*.f64 (cos.f64 im) (-.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (*.f64 (cos.f64 im) re) 2)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 1 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 1 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) re (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (cos.f64 im) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 im) (*.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 im) re) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) 2) (cbrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) (sqrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 1 re)))))))) |
| 1× | egg-herbie |
| 654× | associate-+l+_binary64 |
| 541× | associate-*l*_binary64 |
| 408× | associate-*r*_binary64 |
| 379× | associate-+r+_binary64 |
| 316× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 165 |
| 1 | 120 | 161 |
| 2 | 307 | 161 |
| 3 | 1214 | 161 |
| 4 | 4348 | 161 |
| 1× | node limit |
| Inputs |
|---|
re |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) re) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) re)) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 re (pow.f64 im 6))) re))) |
(+.f64 1 re) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 re)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4))))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/720 re) 1/720) (pow.f64 im 6)) (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4)))))) |
(cos.f64 im) |
(*.f64 (cos.f64 im) re) |
(*.f64 (cos.f64 im) re) |
| Outputs |
|---|
re |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) re) |
(fma.f64 -1/2 (*.f64 re (*.f64 im im)) re) |
(fma.f64 re (*.f64 im (*.f64 im -1/2)) re) |
(fma.f64 re (*.f64 im (*.f64 -1/2 im)) re) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) re)) |
(fma.f64 -1/2 (*.f64 re (*.f64 im im)) (fma.f64 1/24 (*.f64 re (pow.f64 im 4)) re)) |
(fma.f64 re (*.f64 1/24 (pow.f64 im 4)) (fma.f64 re (*.f64 im (*.f64 im -1/2)) re)) |
(fma.f64 re (*.f64 1/24 (pow.f64 im 4)) (fma.f64 re (*.f64 im (*.f64 -1/2 im)) re)) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 re (pow.f64 im 6))) re))) |
(fma.f64 -1/2 (*.f64 re (*.f64 im im)) (fma.f64 1/24 (*.f64 re (pow.f64 im 4)) (fma.f64 -1/720 (*.f64 re (pow.f64 im 6)) re))) |
(fma.f64 re (*.f64 im (*.f64 im -1/2)) (fma.f64 re (*.f64 -1/720 (pow.f64 im 6)) (fma.f64 re (*.f64 1/24 (pow.f64 im 4)) re))) |
(+.f64 re (*.f64 re (+.f64 (*.f64 im (*.f64 -1/2 im)) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 1 re) |
(+.f64 re 1) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 re)) |
(fma.f64 (fma.f64 -1/2 re -1/2) (*.f64 im im) (+.f64 re 1)) |
(+.f64 re (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 1)) |
(+.f64 re (fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) 1)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4))))) |
(fma.f64 (fma.f64 -1/2 re -1/2) (*.f64 im im) (+.f64 1 (+.f64 re (*.f64 (pow.f64 im 4) (fma.f64 1/24 re 1/24))))) |
(+.f64 (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) re) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 1)) |
(+.f64 1 (fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) re))) |
(+.f64 (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) re) (fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) 1)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/720 re) 1/720) (pow.f64 im 6)) (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4)))))) |
(fma.f64 (fma.f64 -1/2 re -1/2) (*.f64 im im) (+.f64 1 (fma.f64 (fma.f64 -1/720 re -1/720) (pow.f64 im 6) (+.f64 re (*.f64 (pow.f64 im 4) (fma.f64 1/24 re 1/24)))))) |
(+.f64 (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) re)) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 1)) |
(+.f64 1 (fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) re)))) |
(+.f64 1 (fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) re)))) |
(cos.f64 im) |
(*.f64 (cos.f64 im) re) |
(*.f64 re (cos.f64 im)) |
(*.f64 (cos.f64 im) re) |
(*.f64 re (cos.f64 im)) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 69 | 2 | 71 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 23.5b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
Compiled 938 to 484 computations (48.4% saved)
Total -21.5b remaining (-279907.8%)
Threshold costs -21.5b (-279907.8%)
Compiled 52 to 26 computations (50% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 7 | 8 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| 1× | done |
Compiled 26 to 12 computations (53.8% saved)
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