Details

analyze132.0ms (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

sample43.0ms (1.9%)

Algorithm

1×

intervals

Results

11.0ms	30×	body	1280	valid
6.0ms	176×	body	80	valid
5.0ms	23×	body	1280	invalid
5.0ms	28×	body	640	valid
3.0ms	19×	body	640	invalid
2.0ms	15×	body	320	valid
1.0ms	7×	body	160	invalid
1.0ms	7×	body	160	valid
1.0ms	5×	body	320	invalid
0.0ms	9×	body	80	invalid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune4.0ms (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

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))

series10.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify79.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4917	134
1	4917	134

prune26.0ms (1.2%)

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: 0.0b

Counts

22 → 3

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

5.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series34.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
8.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify32.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5221	453

prune62.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.0b

Counts

69 → 3

localize10.0ms (0.4%)

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))))

series29.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
9.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify51.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5062	330

prune47.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow-pow_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`log-pow_binary64` `rem-exp-log_binary64`

Counts

3 → 49

Calls

3 calls:

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

series40.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
16.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
5.0ms	(exp.f64 (exp.f64 re))

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4922	403
1	4922	403

prune47.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes157.0ms (7.1%)

Accuracy

Total 0.0b remaining (39.7%)

Threshold costs 0.0b (39.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample1.3s (58.2%)

Algorithm

1×

intervals

Results

388.0ms	1067×	body	1280	valid
225.0ms	5492×	body	80	valid
170.0ms	844×	body	640	valid
129.0ms	500×	body	1280	invalid
72.0ms	438×	body	640	invalid
51.0ms	413×	body	320	valid
20.0ms	170×	body	320	invalid
15.0ms	184×	body	160	valid
11.0ms	150×	body	80	invalid
8.0ms	96×	body	160	invalid

Details

analyze132.0ms (6%)

sample43.0ms (1.9%)

simplify4.0ms (0.2%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.3%)

series10.0ms (0.4%)

simplify79.0ms (3.6%)

prune26.0ms (1.2%)

localize8.0ms (0.3%)

rewrite15.0ms (0.7%)

series34.0ms (1.6%)

simplify32.0ms (1.5%)

prune62.0ms (2.8%)

localize10.0ms (0.4%)

rewrite11.0ms (0.5%)

series29.0ms (1.3%)

simplify51.0ms (2.3%)

prune47.0ms (2.1%)

localize10.0ms (0.4%)

rewrite11.0ms (0.5%)

series40.0ms (1.8%)

simplify48.0ms (2.2%)

prune47.0ms (2.1%)

regimes157.0ms (7.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (58.2%)

Profiling