Details

analyze472.0ms (10.7%)

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample99.0ms (2.2%)

Algorithm

1×

intervals

Results

24.0ms	45×	body	1280	valid
14.0ms	41×	body	1280	invalid
13.0ms	46×	body	640	valid
9.0ms	39×	body	640	invalid
8.0ms	133×	body	80	valid
6.0ms	20×	body	320	valid
5.0ms	29×	body	320	invalid
5.0ms	72×	body	80	invalid
1.0ms	12×	body	160	valid
1.0ms	8×	body	160	invalid

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5009	12

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 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

12.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
7.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

series27.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5131	485

prune57.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im))) (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))

0.0b

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im)))

0.0b

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary64` `add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `exp-diff_binary64` `exp-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

12.0ms

(+.f64 (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im))) (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))

10.0ms

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im)))

7.0ms

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im))

series49.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

26.0ms

(+.f64 (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im))) (*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))

12.0ms

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 (-.f64 0.0 im)))

11.0ms

(*.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im))

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5104	630

prune73.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 0.5 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))
0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (exp.f64 im))
0.0b	(/.f64 (sin.f64 re) (exp.f64 im))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`
7×	`add-exp-log_binary64`
5×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `associate-/l_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 56

Calls

3 calls:

9.0ms	(+.f64 (.f64 0.5 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))
8.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (exp.f64 im))
5.0ms	(/.f64 (sin.f64 re) (exp.f64 im))

series46.0ms (1%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(+.f64 (.f64 0.5 (/.f64 (sin.f64 re) (exp.f64 im))) (.f64 (*.f64 0.5 (sin.f64 re)) (exp.f64 im)))
11.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (exp.f64 im))
10.0ms	(/.f64 (sin.f64 re) (exp.f64 im))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5047	659

prune68.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	2	67

Merged error: 0b

Counts

67 → 2

regimes182.0ms (4.1%)

Accuracy

Total 0.0b remaining (27%)

Threshold costs 0.0b (27%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms (0%)

sample3.0s (68.7%)

Algorithm

1×

intervals

Results

840.0ms	1557×	body	1280	valid
519.0ms	1472×	body	1280	invalid
374.0ms	1289×	body	640	valid
288.0ms	1240×	body	640	invalid
262.0ms	4235×	body	80	valid
152.0ms	2452×	body	80	invalid
114.0ms	617×	body	320	valid
102.0ms	600×	body	320	invalid
38.0ms	320×	body	160	invalid
36.0ms	302×	body	160	valid

Details

analyze472.0ms (10.7%)

sample99.0ms (2.2%)

simplify83.0ms (1.9%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series27.0ms (0.6%)

simplify31.0ms (0.7%)

prune57.0ms (1.3%)

localize11.0ms (0.2%)

rewrite31.0ms (0.7%)

series49.0ms (1.1%)

simplify38.0ms (0.9%)

prune73.0ms (1.6%)

localize9.0ms (0.2%)

rewrite24.0ms (0.5%)

series46.0ms (1%)

simplify51.0ms (1.2%)

prune68.0ms (1.5%)

regimes182.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (68.7%)

Profiling