Details

analyze261.0ms

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

sample40.0ms

Algorithm

intervals

Results

10.0ms	31×	body	1024	valid
9.0ms	197×	body	128	valid
5.0ms	21×	body	1024	invalid
3.0ms	22×	body	512	valid
2.0ms	15×	body	512	invalid
1.0ms	28×	body	128	invalid
1.0ms	8×	body	256	invalid
1.0ms	6×	body	256	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune1.0ms

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))

rewrite7.0ms

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))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5010	222

prune11.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

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))
12.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
25.0ms	(sqrt.f64 (exp.f64 re))
23.0ms	(sqrt.f64 (exp.f64 re))
69.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

simplify127.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4797	849
1	4797	849

prune44.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)))
0.2b	(pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)
15.8b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
20×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`associate-r_binary64`
10×	`pow1_binary64`
9×	`add-exp-log_binary64` `sqrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64`
5×	`sqr-pow_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 re))
11.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)))
7.0ms	(pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3))

series319.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt.f64 (exp.f64 re))
66.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)))
136.0ms	(pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)
95.0ms	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5408	1434

prune56.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 im (.f64 re (+.f64 im (.f64 1/2 (*.f64 re im)))))
0.1b	(.f64 re (+.f64 im (.f64 1/2 (*.f64 re im))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(+.f64 im (.f64 re (+.f64 im (.f64 1/2 (*.f64 re im)))))
6.0ms	(.f64 re (+.f64 im (.f64 1/2 (*.f64 re im))))

series134.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+.f64 im (.f64 re (+.f64 im (.f64 1/2 (*.f64 re im)))))
67.0ms	(.f64 re (+.f64 im (.f64 1/2 (*.f64 re im))))

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5082	730

prune24.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	41	4	45

Merged error: 0b

Counts

45 → 4

regimes55.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

411.0ms	1373×	body	1024	valid
255.0ms	5640×	body	128	valid
136.0ms	652×	body	1024	invalid
103.0ms	670×	body	512	valid
42.0ms	315×	body	512	invalid
36.0ms	822×	body	128	invalid
29.0ms	313×	body	256	valid
20.0ms	176×	body	256	invalid
3.0ms	4×	body	2048	valid

Details

analyze261.0ms

sample40.0ms

simplify8.0ms

prune1.0ms

localize5.0ms

rewrite7.0ms

series75.0ms

simplify83.0ms

prune11.0ms

localize8.0ms

rewrite29.0ms

series196.0ms

simplify127.0ms

prune44.0ms

localize11.0ms

rewrite31.0ms

series319.0ms

simplify58.0ms

prune56.0ms

localize7.0ms

rewrite13.0ms

series134.0ms

simplify55.0ms

prune24.0ms

regimes55.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling