Details

analyze278.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16
0	2	2
1	2	2

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

Compiler

Compiled 6 to 6 computations (0% saved)

sample38.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	56×	body	1024	valid
7.0ms	170×	body	128	valid
3.0ms	17×	body	1024	invalid
2.0ms	16×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	9×	body	512	invalid
1.0ms	1×	body	2048	valid
0.0ms	5×	body	256	invalid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_441`
3×	`pow1_binary64_480` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 192 to 54 computations (71.9% saved)

series87.0ms (3.2%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

80.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 206 to 135 computations (34.5% saved)

simplify120.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4830	294
1	4830	294

prune23.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Compiler

Compiled 245 to 80 computations (67.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cos.f64 im) (exp.f64 re))
0.3b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))
0.3b	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)

rewrite102.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_441`
8×	`pow1_binary64_480` `add-cbrt-cube_binary64_455` `cbrt-prod_binary64_450`
7×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`add-exp-log_binary64_457`
3×	`pow-unpow_binary64_496` `add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`unpow-prod-down_binary64_498` `pow-prod-down_binary64_490` `pow-pow_binary64_491` `prod-exp_binary64_468` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `cube-prod_binary64_447` `rem-cube-cbrt_binary64_442` `cbrt-unprod_binary64_452` `sqr-pow_binary64_391`
1×	`pow-to-exp_binary64_488` `pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

3 → 57

Calls

3 calls:

7.0ms	(*.f64 (cos.f64 im) (exp.f64 re))
6.0ms	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

Compiler

Compiled 822 to 341 computations (58.5% saved)

series397.0ms (14.7%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

205.0ms	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)
96.0ms	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))
73.0ms	(*.f64 (cos.f64 im) (exp.f64 re))

Compiler

Compiled 836 to 618 computations (26.1% saved)

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5325	980

prune63.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Error

0.0b

Counts

89 → 2

Compiler

Compiled 930 to 386 computations (58.5% saved)

regimes85.0ms (3.2%)

Accuracy

Total 0.0b remaining (69.5%)

Threshold costs 0.0b (69.5%)

Compiler

Compiled 302 to 255 computations (15.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.4s (51.6%)

Algorithm

1×

intervals

Results

338.0ms	1336×	body	1024	valid
274.0ms	5680×	body	128	valid
107.0ms	638×	body	1024	invalid
90.0ms	672×	body	512	valid
36.0ms	303×	body	512	invalid
26.0ms	308×	body	256	valid
13.0ms	153×	body	256	invalid
13.0ms	175×	body	128	invalid
1.0ms	4×	body	2048	valid

Compiler

Compiled 67 to 58 computations (13.4% saved)

Details

analyze278.0ms (10.3%)

sample38.0ms (1.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite18.0ms (0.7%)

series87.0ms (3.2%)

simplify120.0ms (4.5%)

prune23.0ms (0.9%)

localize7.0ms (0.3%)

rewrite102.0ms (3.8%)

series397.0ms (14.7%)

simplify68.0ms (2.5%)

prune63.0ms (2.3%)

regimes85.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (51.6%)

Profiling