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

sample45.0ms

Algorithm

intervals

Results

13.0ms	38×	body	1280	valid
7.0ms	173×	body	80	valid
5.0ms	25×	body	640	valid
4.0ms	14×	body	1280	invalid
3.0ms	16×	body	640	invalid
2.0ms	12×	body	320	valid
1.0ms	30×	body	80	invalid
1.0ms	8×	body	160	valid
1.0ms	5×	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

prune2.0ms

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune10.0ms

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	(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))))

rewrite27.0ms

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)))
14.0ms	(.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))
10.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
9.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

simplify74.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4783	517
1	4783	517

prune30.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

89 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
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)
12.2b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
20×	`cbrt-prod_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64` `sqrt-prod_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:

7.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
9.0ms	(.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))

series50.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
9.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)))
20.0ms	(pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3)
11.0ms	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4917	973
1	4917	973

prune34.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes107.0ms

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

385.0ms	1062×	body	1280	valid
243.0ms	5543×	body	80	valid
164.0ms	815×	body	640	valid
131.0ms	479×	body	1280	invalid
72.0ms	423×	body	640	invalid
50.0ms	396×	body	320	valid
33.0ms	764×	body	80	invalid
29.0ms	200×	body	320	invalid
16.0ms	184×	body	160	valid
8.0ms	93×	body	160	invalid

Details

analyze143.0ms

sample45.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify56.0ms

prune10.0ms

localize8.0ms

rewrite27.0ms

series25.0ms

simplify74.0ms

prune30.0ms

localize10.0ms

rewrite29.0ms

series50.0ms

simplify83.0ms

prune34.0ms

regimes107.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling