Details

analyze89.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

prune1.0ms

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: 33.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
31.7b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (.f64 re re) (.f64 im im))
48.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify77.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4916	443
1	4916	443

prune22.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 8.3b

Counts

33 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.3b	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
32.7b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
32.7b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64` `cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`cbrt-div_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

5.0ms	(sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
9.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
6.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
206.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
144.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
134.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify92.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4893	2012
1	4893	2012

prune65.0ms

Filtered

74 candidates to 86 candidates (-16.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Merged error: 8.3b

Counts

91 → 5

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 8.3b

Counts

5 → 5

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 8.3b

Counts

5 → 5

regimes146.0ms

Accuracy

58.5% (10.0b remaining)

Error of 17.9b against oracle of 7.9b and baseline of 32.0b

bsearch41.0ms

Steps

Iters	Range		Point
6	4.967891525093491e+108	7.123937491284769e+109	7.011260704811922e+109
8	1.3045556347484542e-234	8.449320859107514e-231	3.623187642129605e-234
8	-5.271051021328099e-177	-1.459612712108291e-180	-1.614162643035948e-179
8	-5.535565846312824e+123	-1.4802464387079431e+119	-5.134590569129671e+121

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	53
1	29	53

end0.0ms

sample352.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

128

valid

Details

analyze89.0ms

sample13.0ms

simplify9.0ms

prune1.0ms

localize5.0ms

rewrite13.0ms

series83.0ms

simplify77.0ms

prune22.0ms

localize9.0ms

rewrite32.0ms

series619.0ms

simplify92.0ms

prune65.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune1.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune0.0ms

regimes146.0ms

bsearch41.0ms

simplify3.0ms

end0.0ms

sample352.0ms

Profiling