Details

analyze373.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample94.0ms

Algorithm

intervals

Results

25.0ms	50×	body	1280	valid
15.0ms	45×	body	1280	invalid
13.0ms	58×	body	640	invalid
13.0ms	48×	body	640	valid
7.0ms	130×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	17×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	8×	body	160	valid
1.0ms	13×	body	80	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5439	11

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

14.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5360	308

prune28.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))
0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
7×	`pow1_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

10.0ms	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))
7.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))

series23.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))
11.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))

simplify70.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4936	366
1	4936	366

prune42.0ms

Filtered

29 candidates to 45 candidates (-55.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
0.3b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
0.3b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
0.7b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))) (cbrt.f64 (.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
5.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
5.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
8.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))) (cbrt.f64 (.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
26.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
28.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)))
47.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im))) (cbrt.f64 (.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))))

simplify71.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4785	644
1	4785	644

prune78.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

0.1b

(exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

0.3b

(log.f64 (exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
5×	`log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `exp-sum_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `exp-to-pow_binary64` `exp-prod_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `associate-l_binary64` `rem-exp-log_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

11.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

5.0ms

(exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

4.0ms

(log.f64 (exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

series58.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

25.0ms

(exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

17.0ms

(log.f64 (exp.f64 (*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5093	737

prune45.0ms

Filtered

38 candidates to 60 candidates (-57.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0b

Counts

63 → 3

regimes217.0ms

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	12	15
1	12	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

815.0ms	1580×	body	1280	valid
502.0ms	1493×	body	1280	invalid
334.0ms	1233×	body	640	valid
265.0ms	1198×	body	640	invalid
239.0ms	4248×	body	80	valid
114.0ms	647×	body	320	valid
108.0ms	658×	body	320	invalid
38.0ms	299×	body	160	invalid
33.0ms	292×	body	160	valid
30.0ms	496×	body	80	invalid

Details

analyze373.0ms

sample94.0ms

simplify114.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series18.0ms

simplify58.0ms

prune28.0ms

localize9.0ms

rewrite18.0ms

series23.0ms

simplify70.0ms

prune42.0ms

localize14.0ms

rewrite25.0ms

series126.0ms

simplify71.0ms

prune78.0ms

localize14.0ms

rewrite21.0ms

series58.0ms

simplify50.0ms

prune45.0ms

regimes217.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling