Details

analyze137.0ms

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

sample38.0ms

Algorithm

intervals

Results

10.0ms	30×	body	1280	valid
7.0ms	178×	body	80	valid
5.0ms	27×	body	640	valid
3.0ms	13×	body	1280	invalid
2.0ms	10×	body	640	invalid
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	3×	body	320	invalid
0.0ms	3×	body	160	invalid
0.0ms	4×	body	80	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) (cos.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) (cos.f64 im))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4917	134
1	4917	134

prune12.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
0.4b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

rewrite17.0ms

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

series31.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
8.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5221	453

prune22.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
0.3b	(cbrt.f64 (cos.f64 im))
0.3b	(cbrt.f64 (cos.f64 im))
0.3b	(cbrt.f64 (cos.f64 im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
1.0ms	(cbrt.f64 (cos.f64 im))
1.0ms	(cbrt.f64 (cos.f64 im))
1.0ms	(cbrt.f64 (cos.f64 im))

series63.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
14.0ms	(cbrt.f64 (cos.f64 im))
14.0ms	(cbrt.f64 (cos.f64 im))
14.0ms	(cbrt.f64 (cos.f64 im))

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	469

prune27.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

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

regimes106.0ms

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

368.0ms	1039×	body	1280	valid
211.0ms	5478×	body	80	valid
165.0ms	866×	body	640	valid
130.0ms	507×	body	1280	invalid
67.0ms	420×	body	640	invalid
56.0ms	427×	body	320	valid
24.0ms	216×	body	320	invalid
16.0ms	190×	body	160	valid
8.0ms	100×	body	160	invalid
7.0ms	145×	body	80	invalid

Details

analyze137.0ms

sample38.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series8.0ms

simplify81.0ms

prune12.0ms

localize7.0ms

rewrite17.0ms

series31.0ms

simplify32.0ms

prune22.0ms

localize10.0ms

rewrite12.0ms

series63.0ms

simplify48.0ms

prune27.0ms

regimes106.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling