Details

analyze133.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample47.0ms

Algorithm

intervals

Results

17.0ms	39×	body	1280	valid
7.0ms	178×	body	80	valid
5.0ms	26×	body	640	valid
5.0ms	19×	body	1280	invalid
2.0ms	10×	body	640	invalid
1.0ms	10×	body	320	valid
1.0ms	10×	body	320	invalid
0.0ms	5×	body	160	invalid
0.0ms	5×	body	80	invalid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`add-exp-log_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4917	134
1	4917	134

prune13.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1_binary64`
22×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
18×	`add-exp-log_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow1/3_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`swap-sqr_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
11.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (exp.f64 re))
12.0ms	(cbrt.f64 (exp.f64 re))
8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
18.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))

simplify66.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5046	550

prune35.0ms

Filtered

62 candidates to 96 candidates (-54.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3) (sqrt.f64 (cbrt.f64 (exp.f64 re)))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b	(pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3)
0.2b	(sqrt.f64 (cbrt.f64 (exp.f64 re)))
0.2b	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log_binary64`
24×	`sqrt-prod_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`prod-exp_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
14×	`cbrt-prod_binary64`
13×	`pow1_binary64`
9×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`cbrt-unprod_binary64`
6×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `pow-pow_binary64` `rem-sqrt-square_binary64`
3×	`pow-to-exp_binary64` `pow-prod-down_binary64` `pow-unpow_binary64` `pow1/2_binary64` `pow1/3_binary64` `pow-exp_binary64`
1×	`sqrt-pow2_binary64` `associate-r_binary64` `sqr-pow_binary64` `associate-l_binary64` `rem-cube-cbrt_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3) (sqrt.f64 (cbrt.f64 (exp.f64 re)))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
5.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3)
3.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))
3.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3) (sqrt.f64 (cbrt.f64 (exp.f64 re)))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
16.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 re))) 3)
12.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))
12.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

simplify50.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4896	680
1	4896	680

prune33.0ms

Filtered

60 candidates to 111 candidates (-85.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0.0b

Counts

114 → 3

regimes108.0ms

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	6	5
1	6	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

344.0ms	982×	body	1280	valid
224.0ms	5525×	body	80	valid
162.0ms	845×	body	640	valid
130.0ms	499×	body	1280	invalid
64.0ms	381×	body	640	invalid
54.0ms	425×	body	320	valid
26.0ms	227×	body	320	invalid
18.0ms	223×	body	160	valid
8.0ms	105×	body	160	invalid
5.0ms	112×	body	80	invalid

Details

analyze133.0ms

sample47.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series9.0ms

simplify82.0ms

prune13.0ms

localize12.0ms

rewrite23.0ms

series49.0ms

simplify66.0ms

prune35.0ms

localize11.0ms

rewrite29.0ms

series48.0ms

simplify50.0ms

prune33.0ms

regimes108.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling