Details

analyze339.0ms

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

sample86.0ms

Algorithm

intervals

Results

29.0ms	68×	body	1024	valid
14.0ms	50×	body	1024	invalid
11.0ms	138×	body	128	valid
6.0ms	26×	body	512	valid
5.0ms	26×	body	512	invalid
4.0ms	70×	body	128	invalid
3.0ms	24×	body	256	valid
2.0ms	13×	body	256	invalid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	5327	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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4900	507
1	4900	507

prune16.0ms

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

localize9.0ms

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))

rewrite29.0ms

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:

12.0ms	(+.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))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series336.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
74.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
93.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify70.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5028	984

prune42.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	61	2	63

Merged error: 0b

Counts

63 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (sin.f64 re))) im)))
0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(log.f64 (*.f64 1/2 (sin.f64 re)))
1.6b	(exp.f64 (+.f64 (log.f64 (*.f64 1/2 (sin.f64 re))) im))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`exp-prod_binary64`
4×	`distribute-lft-out_binary64` `log-pow_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 61

Calls

4 calls:

14.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (sin.f64 re))) im)))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
3.0ms	(log.f64 (*.f64 1/2 (sin.f64 re)))
7.0ms	(exp.f64 (+.f64 (log.f64 (*.f64 1/2 (sin.f64 re))) im))

series424.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (exp.f64 (+.f64 (log.f64 (.f64 1/2 (sin.f64 re))) im)))
79.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
96.0ms	(log.f64 (*.f64 1/2 (sin.f64 re)))
87.0ms	(exp.f64 (+.f64 (log.f64 (*.f64 1/2 (sin.f64 re))) im))

simplify74.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6399	1062

prune52.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Merged error: 0b

Counts

75 → 2

regimes36.0ms

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	21	18
1	21	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

867.0ms	2006×	body	1024	valid
583.0ms	2040×	body	1024	invalid
294.0ms	4524×	body	128	valid
212.0ms	973×	body	512	valid
184.0ms	1000×	body	512	invalid
170.0ms	2683×	body	128	invalid
67.0ms	491×	body	256	valid
66.0ms	479×	body	256	invalid
6.0ms	6×	body	2048	valid

Details

analyze339.0ms

sample86.0ms

simplify139.0ms

prune4.0ms

localize10.0ms

rewrite13.0ms

series130.0ms

simplify93.0ms

prune16.0ms

localize9.0ms

rewrite29.0ms

series336.0ms

simplify70.0ms

prune42.0ms

localize12.0ms

rewrite35.0ms

series424.0ms

simplify74.0ms

prune52.0ms

regimes36.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling