Details

analyze135.0ms (5.3%)

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

sample46.0ms (1.8%)

Algorithm

1×

intervals

Results

10.0ms	28×	body	1280	valid
8.0ms	37×	body	640	valid
7.0ms	171×	body	80	valid
5.0ms	17×	body	1280	invalid
3.0ms	16×	body	640	invalid
2.0ms	16×	body	320	valid
1.0ms	19×	body	80	invalid
1.0ms	6×	body	320	invalid
0.0ms	4×	body	160	valid
0.0ms	3×	body	160	invalid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune5.0ms (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) (sin.f64 im))

rewrite6.0ms (0.2%)

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) (sin.f64 im))

series11.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune25.0ms (1%)

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

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`sqrt-pow1_binary64`
7×	`associate-r_binary64`
6×	`exp-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series29.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
3.0ms	(sqrt.f64 (exp.f64 re))
3.0ms	(sqrt.f64 (exp.f64 re))

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4783	517
1	4783	517

prune80.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re)))))
0.0b	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
0.0b	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))

rewrite42.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`sqrt-prod_binary64`
21×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`exp-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`pow1/2_binary64` `rem-sqrt-square_binary64`

Counts

4 → 89

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re)))))
12.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
6.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
2.0ms	(sqrt.f64 (exp.f64 re))

series53.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
12.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
10.0ms	(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) (.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re)))))
3.0ms	(sqrt.f64 (exp.f64 re))

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5305	785

prune94.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 re)))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 re)))
0.0b	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
0.0b	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 re))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`cbrt-prod_binary64`
45×	`add-sqr-sqrt_binary64`
29×	`sqrt-prod_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-r_binary64`
16×	`pow1_binary64`
11×	`swap-sqr_binary64` `add-exp-log_binary64`
10×	`associate-l_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1/3_binary64`
7×	`add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

10.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 re))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
3.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 re)))
3.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 re)))

series73.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 re))) (cbrt.f64 (sqrt.f64 (exp.f64 re))))
15.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 re)))
15.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 re)))

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5461	966

prune104.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes170.0ms (6.7%)

Accuracy

Total 0.0b remaining (31.5%)

Threshold costs 0.0b (31.5%)

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%)

sample1.4s (53.5%)

Algorithm

1×

intervals

Results

391.0ms	1058×	body	1280	valid
247.0ms	5501×	body	80	valid
160.0ms	808×	body	640	valid
136.0ms	511×	body	1280	invalid
76.0ms	414×	body	640	invalid
56.0ms	434×	body	320	valid
38.0ms	788×	body	80	invalid
24.0ms	196×	body	320	invalid
18.0ms	199×	body	160	valid
9.0ms	103×	body	160	invalid

Details

analyze135.0ms (5.3%)

sample46.0ms (1.8%)

simplify5.0ms (0.2%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series11.0ms (0.4%)

simplify55.0ms (2.2%)

prune25.0ms (1%)

localize7.0ms (0.3%)

rewrite23.0ms (0.9%)

series29.0ms (1.1%)

simplify79.0ms (3.1%)

prune80.0ms (3.1%)

localize9.0ms (0.4%)

rewrite42.0ms (1.6%)

series53.0ms (2.1%)

simplify46.0ms (1.8%)

prune94.0ms (3.7%)

localize11.0ms (0.4%)

rewrite27.0ms (1.1%)

series73.0ms (2.9%)

simplify47.0ms (1.8%)

prune104.0ms (4%)

regimes170.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (53.5%)

Profiling