Details

analyze140.0ms

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

sample51.0ms

Algorithm

intervals

Results

16.0ms	43×	body	1280	valid
7.0ms	172×	body	80	valid
5.0ms	18×	body	1280	invalid
5.0ms	11×	body	320	valid
4.0ms	21×	body	640	valid
2.0ms	13×	body	640	invalid
1.0ms	31×	body	80	invalid
1.0ms	9×	body	160	valid
0.0ms	4×	body	320	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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:

5.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune23.0ms

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

localize8.0ms

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

rewrite26.0ms

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))
10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
9.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify76.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4783	517
1	4783	517

prune62.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)))
0.0b	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
0.2b	(pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)
11.6b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
7.0ms	(pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3))

series55.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)))
12.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
20.0ms	(pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3)
12.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5376	985

prune89.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im)))
0.0b	(sqrt.f64 (sin.f64 im))
0.0b	(sqrt.f64 (sin.f64 im))
0.2b	(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

6.0ms	(*.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im)))
2.0ms	(sqrt.f64 (sin.f64 im))
2.0ms	(sqrt.f64 (sin.f64 im))
9.0ms	(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im)))
4.0ms	(sqrt.f64 (sin.f64 im))
4.0ms	(sqrt.f64 (sin.f64 im))
10.0ms	(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5086	526

prune45.0ms

Filtered

50 candidates to 81 candidates (-62.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0b

Counts

84 → 3

regimes169.0ms

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

sample1.3s

Algorithm

intervals

Results

386.0ms	1040×	body	1280	valid
244.0ms	5481×	body	80	valid
174.0ms	867×	body	640	valid
127.0ms	490×	body	1280	invalid
72.0ms	426×	body	640	invalid
54.0ms	398×	body	320	valid
34.0ms	788×	body	80	invalid
25.0ms	205×	body	320	invalid
18.0ms	214×	body	160	valid
8.0ms	98×	body	160	invalid

Details

analyze140.0ms

sample51.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series11.0ms

simplify57.0ms

prune23.0ms

localize8.0ms

rewrite26.0ms

series28.0ms

simplify76.0ms

prune62.0ms

localize11.0ms

rewrite31.0ms

series55.0ms

simplify44.0ms

prune89.0ms

localize8.0ms

rewrite20.0ms

series31.0ms

simplify62.0ms

prune45.0ms

regimes169.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling