Details

analyze136.0ms (6.6%)

Algorithm

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

Compiler

Compiled 6 to 6 computations (0% saved)

sample38.0ms (1.8%)

Algorithm

1×

intervals

Results

11.0ms	38×	body	1024	valid
7.0ms	181×	body	128	valid
5.0ms	24×	body	1024	invalid
3.0ms	21×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	11×	body	512	invalid
1.0ms	12×	body	256	invalid
0.0ms	6×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify167.0ms (8.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_789`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
2×	`add-exp-log_binary64_805`
1×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `pow-prod-down_binary64_838`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series64.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4922	219
1	4922	219

prune13.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

Compiler

Compiled 205 to 69 computations (66.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 re (log.f64 (cos.f64 im)))
0.0b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
1.5b	(log.f64 (cos.f64 im))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_767`
6×	`pow1_binary64_828` `add-log-exp_binary64_806` `add-sqr-sqrt_binary64_789` `log-prod_binary64_853` `add-cube-cbrt_binary64_802`
5×	`exp-prod_binary64_819`
4×	`distribute-lft-out_binary64_718` `add-exp-log_binary64_805`
3×	`log-pow_binary64_856` `associate-+r+_binary64_699` `add-cbrt-cube_binary64_803`
2×	`sum-log_binary64_858` `rem-exp-log_binary64_807`
1×	`flip-+_binary64_741` `exp-sum_binary64_813` `+-commutative_binary64_697` `rem-log-exp_binary64_808` `flip3-+_binary64_770`

Counts

3 → 43

Calls

3 calls:

5.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
4.0ms	(+.f64 re (log.f64 (cos.f64 im)))
2.0ms	(log.f64 (cos.f64 im))

series204.0ms (9.9%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(log.f64 (cos.f64 im))
68.0ms	(+.f64 re (log.f64 (cos.f64 im)))
61.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))

simplify75.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5037	513

prune28.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

Compiler

Compiled 511 to 162 computations (68.3% saved)

regimes38.0ms (1.9%)

Compiler: Compiled 77 to 85 computations (-10.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.2s (58.5%)

Algorithm

1×

intervals

Results

373.0ms	1360×	body	1024	valid
230.0ms	5591×	body	128	valid
142.0ms	698×	body	1024	invalid
97.0ms	687×	body	512	valid
44.0ms	335×	body	512	invalid
35.0ms	358×	body	256	valid
13.0ms	160×	body	256	invalid
9.0ms	183×	body	128	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 22 to 24 computations (-9.1% saved)

Details

analyze136.0ms (6.6%)

sample38.0ms (1.8%)

simplify167.0ms (8.1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite7.0ms (0.4%)

series64.0ms (3.1%)

simplify55.0ms (2.7%)

prune13.0ms (0.6%)

localize7.0ms (0.3%)

rewrite13.0ms (0.7%)

series204.0ms (9.9%)

simplify75.0ms (3.6%)

prune28.0ms (1.3%)

regimes38.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (58.5%)

Profiling