Details

analyze365.0ms

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

sample93.0ms

Algorithm

intervals

Results

21.0ms	41×	body	1280	valid
16.0ms	47×	body	1280	invalid
14.0ms	51×	body	640	invalid
13.0ms	49×	body	640	valid
7.0ms	140×	body	80	valid
3.0ms	18×	body	320	valid
3.0ms	18×	body	320	invalid
1.0ms	19×	body	80	invalid
1.0ms	9×	body	160	invalid
1.0ms	8×	body	160	valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	6224	11

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

11.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5220	307

prune12.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0.0b

Counts

27 → 2

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 im) 3)
0.5b	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
4.5b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
21×	`exp-prod_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-/r/_binary64`
18×	`frac-add_binary64`
16×	`add-cbrt-cube_binary64`
14×	`exp-neg_binary64`
13×	`add-exp-log_binary64`
12×	`pow1_binary64` `neg-sub0_binary64` `exp-diff_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`frac-times_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `prod-exp_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `swap-sqr_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate-l*_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `un-div-inv_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `sqr-pow_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `pow-exp_binary64` `pow2_binary64` `unpow3_binary64` `-commutative_binary64` `cube-mult_binary64`

Counts

4 → 117

Calls

4 calls:

7.0ms	(*.f64 (exp.f64 im) (exp.f64 im))
4.0ms	(pow.f64 (exp.f64 im) 3)
37.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 (exp.f64 im) (exp.f64 im))
5.0ms	(pow.f64 (exp.f64 im) 3)
82.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
8.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5283	1828

prune75.0ms

Filtered

77 candidates to 129 candidates (-67.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2))))
0.3b	(log.f64 (exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))))
0.5b	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))
4.5b	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
22×	`exp-prod_binary64`
15×	`times-frac_binary64`
13×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
12×	`log-pow_binary64`
11×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
6×	`associate-/r/_binary64`
5×	`flip3-+_binary64` `associate-/r*_binary64` `pow1_binary64` `flip-+_binary64`
4×	`difference-of-sqr--1_binary64`
3×	`cbrt-unprod_binary64` `log-prod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `associate-*l/_binary64`
1×	`unpow2_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `rem-exp-log_binary64` `clear-num_binary64` `unpow-prod-down_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 89

Calls

4 calls:

15.0ms	(exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2))))
16.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))))
27.0ms	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))
8.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

series204.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2))))
61.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))))
64.0ms	(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (.f64 1/2 (cos.f64 re))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) 2) -1) (pow.f64 (exp.f64 im) -2)))
4.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

simplify35.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5190	2332

prune97.0ms

Filtered

73 candidates to 101 candidates (-38.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes139.0ms

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	20	11
1	20	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

764.0ms	1473×	body	1280	valid
519.0ms	1507×	body	1280	invalid
349.0ms	1275×	body	640	valid
289.0ms	1198×	body	640	invalid
242.0ms	4345×	body	80	valid
103.0ms	609×	body	320	invalid
102.0ms	591×	body	320	valid
37.0ms	316×	body	160	valid
35.0ms	288×	body	160	invalid
32.0ms	509×	body	80	invalid

Details

analyze365.0ms

sample93.0ms

simplify124.0ms

prune2.0ms

localize9.0ms

rewrite11.0ms

series14.0ms

simplify56.0ms

prune12.0ms

localize22.0ms

rewrite59.0ms

series98.0ms

simplify44.0ms

prune75.0ms

localize20.0ms

rewrite69.0ms

series204.0ms

simplify35.0ms

prune97.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling