Details

analyze354.0ms (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample98.0ms (2.3%)

Algorithm

1×

intervals

Results

26.0ms	52×	body	1280	valid
22.0ms	59×	body	1280	invalid
12.0ms	46×	body	640	valid
9.0ms	39×	body	640	invalid
7.0ms	131×	body	80	valid
4.0ms	21×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	13×	body	160	invalid
1.0ms	13×	body	80	invalid
1.0ms	6×	body	160	valid

simplify110.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5439	11

prune5.0ms (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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series19.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5360	308

prune31.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

0.3b

(pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

0.5b

(cbrt.f64 (pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `flip-+_binary64` `pow-exp_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

14.0ms

(pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

11.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

4.0ms

(cbrt.f64 (pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3))

series66.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

34.0ms

(pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

16.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

16.0ms

(cbrt.f64 (pow.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3))

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5258	1028

prune87.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))
0.3b	(pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
0.3b	(pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
0.5b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`cbrt-prod_binary64`
31×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`add-exp-log_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`cube-div_binary64`
11×	`add-cbrt-cube_binary64` `pow-exp_binary64`
10×	`pow1_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
8×	`associate-*r/_binary64`
6×	`cbrt-div_binary64` `pow-unpow_binary64` `prod-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `flip-+_binary64`
3×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64`
2×	`pow1/3_binary64`
1×	`rem-cbrt-cube_binary64`

Counts

4 → 134

Calls

4 calls:

11.0ms	(pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
10.0ms	(pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
7.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)))
6.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))

series163.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
35.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))
33.0ms	(pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
17.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5388	2569

prune171.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	2	148

Merged error: 0b

Counts

148 → 2

regimes174.0ms (4.1%)

Accuracy

Total 0.0b remaining (22.2%)

Threshold costs 0.0b (22.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms (0%)

sample2.7s (64.3%)

Algorithm

1×

intervals

Results

794.0ms	1519×	body	1280	valid
519.0ms	1542×	body	1280	invalid
343.0ms	1261×	body	640	valid
260.0ms	1150×	body	640	invalid
233.0ms	4285×	body	80	valid
111.0ms	616×	body	320	valid
105.0ms	632×	body	320	invalid
36.0ms	319×	body	160	valid
34.0ms	313×	body	160	invalid
31.0ms	510×	body	80	invalid

Details

analyze354.0ms (8.3%)

sample98.0ms (2.3%)

simplify110.0ms (2.6%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite11.0ms (0.3%)

series19.0ms (0.5%)

simplify59.0ms (1.4%)

prune31.0ms (0.7%)

localize12.0ms (0.3%)

rewrite30.0ms (0.7%)

series66.0ms (1.5%)

simplify27.0ms (0.6%)

prune87.0ms (2.1%)

localize14.0ms (0.3%)

rewrite38.0ms (0.9%)

series163.0ms (3.8%)

simplify41.0ms (1%)

prune171.0ms (4%)

regimes174.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (64.3%)

Profiling