Details

analyze352.0ms

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

sample96.0ms

Algorithm

intervals

Results

21.0ms	39×	body	1280	valid
17.0ms	47×	body	1280	invalid
13.0ms	45×	body	640	valid
9.0ms	37×	body	640	invalid
8.0ms	138×	body	80	valid
5.0ms	81×	body	80	invalid
4.0ms	23×	body	320	invalid
3.0ms	16×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	8×	body	160	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5279	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

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 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite17.0ms

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:

5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
67.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify155.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4878	719
1	4878	719

prune33.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

10.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
7.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series176.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
42.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
49.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify90.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4920	984
1	4920	984

prune44.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

63 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) 3)
0.1b	(pow.f64 (exp.f64 im) -3)
0.2b	(/.f64 (.f64 (.f64 1/2 (sin.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)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 im) 3)
3.0ms	(pow.f64 (exp.f64 im) -3)
40.0ms	(/.f64 (.f64 (.f64 1/2 (sin.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)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow.f64 (exp.f64 im) 3)
39.0ms	(pow.f64 (exp.f64 im) -3)
388.0ms	(/.f64 (.f64 (.f64 1/2 (sin.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)))))
40.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify130.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4942	2832
1	4942	2832

prune115.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

118 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64` `pow1/3_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

20.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
114.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
116.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
113.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify105.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4919	1809
1	4919	1809

prune71.0ms

Filtered

58 candidates to 84 candidates (-44.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms

sample3.1s

Algorithm

intervals

Results

816.0ms	1453×	body	1280	valid
526.0ms	1465×	body	1280	invalid
374.0ms	1236×	body	640	valid
299.0ms	1200×	body	640	invalid
275.0ms	4373×	body	80	valid
147.0ms	2307×	body	80	invalid
119.0ms	619×	body	320	valid
104.0ms	599×	body	320	invalid
40.0ms	320×	body	160	invalid
40.0ms	319×	body	160	valid

Details

analyze352.0ms

sample96.0ms

simplify146.0ms

prune4.0ms

localize13.0ms

rewrite17.0ms

series82.0ms

simplify155.0ms

prune33.0ms

localize10.0ms

rewrite25.0ms

series176.0ms

simplify90.0ms

prune44.0ms

localize21.0ms

rewrite58.0ms

series491.0ms

simplify130.0ms

prune115.0ms

localize15.0ms

rewrite41.0ms

series538.0ms

simplify105.0ms

prune71.0ms

regimes45.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.1s

Profiling