Details

analyze129.0ms (6.1%)

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)

sample39.0ms (1.8%)

Algorithm

1×

intervals

Results

10.0ms	185×	body	80	valid
9.0ms	26×	body	1280	valid
4.0ms	23×	body	640	valid
3.0ms	18×	body	640	invalid
3.0ms	11×	body	1280	invalid
1.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	8×	body	320	invalid
0.0ms	4×	body	80	invalid
0.0ms	2×	body	160	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune3.0ms (0.2%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`add-exp-log_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify131.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4919	219
1	4919	219

prune12.0ms (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

Merged error: 0b

Counts

22 → 3

Compiler

Compiled 201 to 65 computations (67.7% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`
3×	`associate-r_binary64` `log-prod_binary64` `log-pow_binary64` `associate-l_binary64`
2×	`exp-to-pow_binary64` `exp-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 42

Calls

3 calls:

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

series26.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
8.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify87.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5064	541

prune23.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0b

Counts

54 → 3

Compiler

Compiled 520 to 147 computations (71.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
2.8b	(log.f64 (cos.f64 im))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
5×	`exp-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`log-prod_binary64` `add-exp-log_binary64`
2×	`distribute-lft-out_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`rem-log-exp_binary64` `exp-sum_binary64` `sum-log_binary64`

Counts

2 → 27

Calls

2 calls:

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

series18.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(log.f64 (cos.f64 im))
8.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))

simplify94.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4958	292
1	4958	292

prune14.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	33	3	36

Merged error: 0b

Counts

36 → 3

Compiler

Compiled 310 to 102 computations (67.1% saved)

regimes106.0ms (5%)

Compiler: Compiled 112 to 120 computations (-7.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.4s (64.4%)

Algorithm

1×

intervals

Results

344.0ms	1056×	body	1280	valid
204.0ms	5476×	body	80	valid
153.0ms	830×	body	640	valid
112.0ms	459×	body	1280	invalid
65.0ms	432×	body	640	invalid
44.0ms	396×	body	320	valid
25.0ms	221×	body	320	invalid
19.0ms	242×	body	160	valid
7.0ms	101×	body	160	invalid
6.0ms	131×	body	80	invalid

Compiler

Compiled 29 to 31 computations (-6.9% saved)

Details

analyze129.0ms (6.1%)

sample39.0ms (1.8%)

simplify12.0ms (0.6%)

prune3.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.3%)

series8.0ms (0.4%)

simplify131.0ms (6.2%)

prune12.0ms (0.6%)

localize10.0ms (0.5%)

rewrite11.0ms (0.5%)

series26.0ms (1.2%)

simplify87.0ms (4.1%)

prune23.0ms (1.1%)

localize6.0ms (0.3%)

rewrite7.0ms (0.3%)

series18.0ms (0.8%)

simplify94.0ms (4.5%)

prune14.0ms (0.7%)

regimes106.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample1.4s (64.4%)

Profiling