Details

analyze349.0ms

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

sample83.0ms

Algorithm

intervals

Results

28.0ms	62×	body	1024	valid
18.0ms	70×	body	1024	invalid
8.0ms	145×	body	128	valid
7.0ms	32×	body	512	valid
6.0ms	33×	body	512	invalid
2.0ms	18×	body	256	invalid
2.0ms	17×	body	256	valid
1.0ms	23×	body	128	invalid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4810	18
1	4810	18

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite19.0ms

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:

6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
125.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify72.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4930	713
1	4930	713

prune28.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
0.0b	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
6.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
6.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

series324.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
89.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
66.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

simplify69.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5002	972

prune41.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) -2)
0.3b	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.5b	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
7.6b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
15×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`unpow-prod-down_binary64`
9×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `sqr-pow_binary64`
5×	`associate-/r*_binary64` `pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `pow-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `exp-prod_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
1×	`pow-to-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

4 → 88

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 im) -2)
22.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series612.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow.f64 (exp.f64 im) -2)
435.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
93.0ms	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
39.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5025	1972

prune83.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes37.0ms

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	13	24
1	13	24

end0.0ms

sample2.5s

Algorithm

intervals

Results

854.0ms	2062×	body	1024	valid
538.0ms	2005×	body	1024	invalid
253.0ms	4474×	body	128	valid
194.0ms	965×	body	512	valid
162.0ms	966×	body	512	invalid
64.0ms	518×	body	256	invalid
61.0ms	496×	body	256	valid
49.0ms	773×	body	128	invalid
3.0ms	3×	body	2048	valid

Details

analyze349.0ms

sample83.0ms

simplify95.0ms

prune1.0ms

localize9.0ms

rewrite19.0ms

series152.0ms

simplify72.0ms

prune28.0ms

localize8.0ms

rewrite25.0ms

series324.0ms

simplify69.0ms

prune41.0ms

localize15.0ms

rewrite50.0ms

series612.0ms

simplify50.0ms

prune83.0ms

regimes37.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling