Details

analyze143.0ms

Algorithm

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

sample44.0ms

Algorithm

intervals

Results

11.0ms	30×	body	1280	valid
8.0ms	179×	body	80	valid
5.0ms	19×	body	1280	invalid
4.0ms	20×	body	640	valid
2.0ms	17×	body	320	valid
2.0ms	9×	body	640	invalid
1.0ms	23×	body	80	invalid
1.0ms	10×	body	160	valid
1.0ms	6×	body	320	invalid
0.0ms	3×	body	160	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune3.0ms

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

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

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:

6.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune22.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

localize7.0ms

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))))

rewrite24.0ms

Algorithm

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:

2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
11.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 re))
3.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

simplify73.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4783	517
1	4783	517

prune63.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(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))))
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)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 re)))
7.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
12.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
17.0ms	(.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)))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 re)))
10.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
24.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
8.0ms	(.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)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5595	822

prune69.0ms

Filtered

64 candidates to 107 candidates (-67.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize10.0ms

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 (.f64 (sin.f64 im) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
0.0b	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`sqrt-prod_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`sqrt-pow1_binary64`
15×	`add-exp-log_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-r_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `exp-prod_binary64`
8×	`pow-pow_binary64`
7×	`prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64`
2×	`pow-to-exp_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `associate-l_binary64` `rem-cube-cbrt_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 100

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))
16.0ms	(.f64 (.f64 (sin.f64 im) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
6.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 re))
3.0ms	(sqrt.f64 (exp.f64 re))
7.0ms	(.f64 (.f64 (sin.f64 im) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)) (sqrt.f64 (sqrt.f64 (exp.f64 re))))
15.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 re))) 3)

simplify39.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4965	675
1	4965	675

prune67.0ms

Filtered

63 candidates to 112 candidates (-77.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes190.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.4s

Algorithm

intervals

Results

380.0ms	1029×	body	1280	valid
260.0ms	5561×	body	80	valid
168.0ms	819×	body	640	valid
127.0ms	475×	body	1280	invalid
75.0ms	404×	body	640	invalid
56.0ms	394×	body	320	valid
34.0ms	765×	body	80	invalid
27.0ms	217×	body	320	invalid
18.0ms	197×	body	160	valid
8.0ms	94×	body	160	invalid

Details

analyze143.0ms

sample44.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series13.0ms

simplify53.0ms

prune22.0ms

localize7.0ms

rewrite24.0ms

series25.0ms

simplify73.0ms

prune63.0ms

localize9.0ms

rewrite42.0ms

series54.0ms

simplify48.0ms

prune69.0ms

localize10.0ms

rewrite29.0ms

series28.0ms

simplify39.0ms

prune67.0ms

regimes190.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling