Details

analyze219.0ms (8.8%)

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample36.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms	39×	body	1024	valid
8.0ms	187×	body	128	valid
3.0ms	18×	body	1024	invalid
3.0ms	20×	body	512	valid
2.0ms	14×	body	512	invalid
1.0ms	29×	body	128	invalid
1.0ms	10×	body	256	valid
1.0ms	4×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify6.0ms (0.3%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_441`
3×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360` `add-cbrt-cube_binary64_455` `pow1_binary64_480`
2×	`add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series35.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify87.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5010	222

prune14.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

Counts

22 → 3

Compiler

Compiled 218 to 69 computations (68.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
9×	`pow1/3_binary64_501`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`cbrt-prod_binary64_450`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series369.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
86.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
82.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
74.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5315	791

prune54.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 1479 to 262 computations (82.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
13.1b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series141.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
36.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
35.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify105.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4885	740
1	4885	740

prune44.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Error

Counts

69 → 3

Compiler

Compiled 745 to 288 computations (61.3% saved)

regimes52.0ms (2.1%)

Accuracy

Total 0.0b remaining (14.3%)

Threshold costs 0.0b (14.3%)

Compiler

Compiled 262 to 180 computations (31.3% 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%)

sample1.2s (47.8%)

Algorithm

1×

intervals

Results

310.0ms	1333×	body	1024	valid
259.0ms	5689×	body	128	valid
98.0ms	599×	body	1024	invalid
84.0ms	626×	body	512	valid
38.0ms	831×	body	128	invalid
38.0ms	319×	body	512	invalid
30.0ms	349×	body	256	valid
13.0ms	152×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 43 computations (27.1% saved)

Details

analyze219.0ms (8.8%)

sample36.0ms (1.4%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.2%)

series35.0ms (1.4%)

simplify87.0ms (3.5%)

prune14.0ms (0.6%)

localize8.0ms (0.3%)

rewrite22.0ms (0.9%)

series369.0ms (14.9%)

simplify66.0ms (2.7%)

prune54.0ms (2.2%)

localize7.0ms (0.3%)

rewrite16.0ms (0.6%)

series141.0ms (5.7%)

simplify105.0ms (4.2%)

prune44.0ms (1.8%)

regimes52.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (47.8%)

Profiling