Details

analyze374.0ms

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

sample100.0ms

Algorithm

intervals

Results

26.0ms	52×	body	1280	valid
23.0ms	59×	body	1280	invalid
13.0ms	46×	body	640	valid
9.0ms	39×	body	640	invalid
7.0ms	131×	body	80	valid
4.0ms	21×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	13×	body	160	invalid
1.0ms	13×	body	80	invalid
1.0ms	6×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	6224	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

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:

10.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(*.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

prune25.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.3b

(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

0.5b

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `cbrt-prod_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

3 → 58

Calls

3 calls:

9.0ms

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

10.0ms

(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

5.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms

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

30.0ms

(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)

16.0ms

(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5429	785

prune57.0ms

Filtered

46 candidates to 67 candidates (-45.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	68	2	70

Merged error: 0b

Counts

70 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))
0.3b	(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
0.3b	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
0.5b	(cbrt.f64 (.f64 1/8 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
21×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`cube-div_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`
8×	`add-cbrt-cube_binary64` `pow-exp_binary64`
7×	`pow1_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
6×	`cbrt-div_binary64` `pow-unpow_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`pow-to-exp_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64`
2×	`pow1/3_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64`

Counts

4 → 106

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))
7.0ms	(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
10.0ms	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
8.0ms	(cbrt.f64 (.f64 1/8 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))
67.0ms	(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3)
27.0ms	(pow.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
19.0ms	(cbrt.f64 (.f64 1/8 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3) 3))))

simplify35.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	6128	1771

prune80.0ms

Filtered

64 candidates to 118 candidates (-84.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	2	120

Merged error: 0b

Counts

120 → 2

regimes182.0ms

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

796.0ms	1519×	body	1280	valid
509.0ms	1542×	body	1280	invalid
353.0ms	1261×	body	640	valid
261.0ms	1150×	body	640	invalid
235.0ms	4285×	body	80	valid
109.0ms	616×	body	320	valid
102.0ms	632×	body	320	invalid
37.0ms	319×	body	160	valid
35.0ms	313×	body	160	invalid
35.0ms	510×	body	80	invalid

Details

analyze374.0ms

sample100.0ms

simplify120.0ms

prune3.0ms

localize9.0ms

rewrite11.0ms

series17.0ms

simplify56.0ms

prune25.0ms

localize13.0ms

rewrite25.0ms

series60.0ms

simplify38.0ms

prune57.0ms

localize15.0ms

rewrite33.0ms

series140.0ms

simplify35.0ms

prune80.0ms

regimes182.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling