Details

analyze132.0ms

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
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample34.0ms

Algorithm

intervals

Results

10.0ms	35×	body	1024	valid
7.0ms	191×	body	128	valid
4.0ms	21×	body	1024	invalid
3.0ms	22×	body	512	valid
2.0ms	13×	body	512	invalid
1.0ms	8×	body	256	invalid
1.0ms	8×	body	256	valid
0.0ms	5×	body	128	invalid

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) (cos.f64 im))

rewrite9.0ms

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:

8.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4927	219
1	4927	219

prune12.0ms

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 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series240.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
117.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
67.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4938	728
1	4938	728

prune31.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	67	3	70

Merged error: 0b

Counts

70 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
0.0b	(pow.f64 (exp.f64 re) 3)
0.2b	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
0.3b	(pow.f64 (cos.f64 im) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

10.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
4.0ms	(pow.f64 (exp.f64 re) 3)
5.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
3.0ms	(pow.f64 (cos.f64 im) 3)

series272.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
38.0ms	(pow.f64 (exp.f64 re) 3)
59.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
49.0ms	(pow.f64 (cos.f64 im) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4956	1651
1	4956	1651

prune64.0ms

Filtered

68 candidates to 130 candidates (-91.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0b

Counts

133 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3))
0.0b	(exp.f64 (*.f64 3 re))
0.2b	(cbrt.f64 (.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3)))
0.3b	(pow.f64 (cos.f64 im) 3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3))
2.0ms	(exp.f64 (*.f64 3 re))
5.0ms	(cbrt.f64 (.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3)))
3.0ms	(pow.f64 (cos.f64 im) 3)

series278.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3))
9.0ms	(exp.f64 (*.f64 3 re))
126.0ms	(cbrt.f64 (.f64 (exp.f64 (.f64 3 re)) (pow.f64 (cos.f64 im) 3)))
40.0ms	(pow.f64 (cos.f64 im) 3)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	974
1	4924	974

prune45.0ms

Filtered

51 candidates to 85 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes46.0ms

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

sample1.1s

Algorithm

intervals

Results

365.0ms	1355×	body	1024	valid
215.0ms	5646×	body	128	valid
122.0ms	626×	body	1024	invalid
101.0ms	702×	body	512	valid
39.0ms	330×	body	512	invalid
25.0ms	295×	body	256	valid
16.0ms	162×	body	256	invalid
11.0ms	162×	body	128	invalid
1.0ms	2×	body	2048	valid

Details

analyze132.0ms

sample34.0ms

simplify8.0ms

prune1.0ms

localize5.0ms

rewrite9.0ms

series56.0ms

simplify84.0ms

prune12.0ms

localize8.0ms

rewrite16.0ms

series240.0ms

simplify52.0ms

prune31.0ms

localize9.0ms

rewrite31.0ms

series272.0ms

simplify71.0ms

prune64.0ms

localize9.0ms

rewrite22.0ms

series278.0ms

simplify75.0ms

prune45.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling