Details

analyze359.0ms

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample145.0ms

Algorithm

intervals

Results

25.0ms	40×	body	1280	valid
17.0ms	48×	body	1280	invalid
13.0ms	46×	body	640	valid
8.0ms	129×	body	80	valid
8.0ms	32×	body	640	invalid
4.0ms	63×	body	80	invalid
4.0ms	20×	body	320	valid
3.0ms	21×	body	160	valid
3.0ms	15×	body	320	invalid
2.0ms	14×	body	160	invalid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5009	12

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 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
12.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
18.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

simplify29.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5131	485

prune50.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 im) (exp.f64 im))
0.0b	(pow.f64 (exp.f64 (-.f64 0.0 im)) 3)
0.0b	(pow.f64 (exp.f64 im) 3)
6.0b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64` `exp-prod_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`
10×	`pow-pow_binary64`
8×	`add-cbrt-cube_binary64`
7×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64`
4×	`pow-prod-down_binary64` `pow-prod-up_binary64` `add-exp-log_binary64` `pow-sqr_binary64`
3×	`sub-neg_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `exp-sum_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out--_binary64` `pow-plus_binary64` `cube-div_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

7.0ms	(*.f64 (exp.f64 im) (exp.f64 im))
6.0ms	(pow.f64 (exp.f64 (-.f64 0.0 im)) 3)
4.0ms	(pow.f64 (exp.f64 im) 3)
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (exp.f64 im) (exp.f64 im))
7.0ms	(pow.f64 (exp.f64 (-.f64 0.0 im)) 3)
6.0ms	(pow.f64 (exp.f64 im) 3)
10.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))

simplify50.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5211	654

prune135.0ms

Filtered

70 candidates to 115 candidates (-64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im)))
0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im))))
0.1b	(*.f64 1/12 (pow.f64 im 4))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`prod-exp_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64` `unswap-sqr_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `sqr-pow_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow-exp_binary64`

Counts

3 → 60

Calls

3 calls:

7.0ms	(+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im)))
13.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im))))
5.0ms	(*.f64 1/12 (pow.f64 im 4))

series45.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im)))
34.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (+.f64 2 (.f64 im im))))
6.0ms	(*.f64 1/12 (pow.f64 im 4))

simplify25.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5001	859

prune65.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
0.0b	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
0.4b	(.f64 (.f64 (*.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))
0.5b	(.f64 (.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64` `sqrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
4×	`distribute-lft-out_binary64` `frac-times_binary64`
2×	`associate-l_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
7.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
24.0ms	(.f64 (.f64 (*.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))
13.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
4.0ms	(+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))
21.0ms	(.f64 (.f64 (*.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))
23.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4942	1335
1	4942	1335

prune87.0ms

Filtered

60 candidates to 93 candidates (-55.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	40
1	59	40

end0.0ms

sample3.1s

Algorithm

intervals

Results

792.0ms	1479×	body	1280	valid
526.0ms	1467×	body	1280	invalid
402.0ms	1359×	body	640	valid
317.0ms	1274×	body	640	invalid
271.0ms	4188×	body	80	valid
154.0ms	2439×	body	80	invalid
121.0ms	633×	body	320	valid
111.0ms	628×	body	320	invalid
47.0ms	341×	body	160	valid
36.0ms	291×	body	160	invalid

Details

analyze359.0ms

sample145.0ms

simplify82.0ms

prune3.0ms

localize10.0ms

rewrite21.0ms

series22.0ms

simplify29.0ms

prune50.0ms

localize22.0ms

rewrite26.0ms

series26.0ms

simplify50.0ms

prune135.0ms

localize12.0ms

rewrite28.0ms

series45.0ms

simplify25.0ms

prune65.0ms

localize14.0ms

rewrite54.0ms

series52.0ms

simplify52.0ms

prune87.0ms

regimes180.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.1s

Profiling