Details

analyze544.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

sample29.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune7.0ms

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: 24.6b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
1.1b	(+.f64 (.f64 a c) (.f64 b d))
24.2b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
9×	`times-frac_binary64_569`
7×	`add-log-exp_binary64_539`
5×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
4×	`flip3-+_binary64_572` `flip-+_binary64_599`
3×	`pow1_binary64_520` `associate-/l_binary64_638` `associate-/r_binary64_637`
2×	`associate-/r/_binary64_639` `+-commutative_binary64_641` `associate-/l/_binary64_640` `sum-log_binary64_489`
1×	`div-inv_binary64_575` `div-exp_binary64_527` `frac-2neg_binary64_567` `clear-num_binary64_577` `cbrt-undiv_binary64_544`

Counts

3 → 53

Calls

3 calls:

8.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 c c) (.f64 d d))
38.0ms	(+.f64 (.f64 a c) (.f64 b d))
91.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify58.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4963	1420
1	4963	1420

prune236.0ms

Filtered

50 candidates to 62 candidates (-24.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	10	63

Merged error: 23.9b

Counts

63 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

1.1b	(+.f64 (.f64 c a) (.f64 d b))
14.8b	(/.f64 (+.f64 (.f64 c a) (.f64 d b)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_559`
21×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
18×	`sqrt-prod_binary64_553` `times-frac_binary64_569`
6×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `associate-/r*_binary64_637` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
5×	`flip3-+_binary64_572` `flip-+_binary64_599`
3×	`associate-/l*_binary64_638`
2×	`rem-sqrt-square_binary64_562` `associate-/r/_binary64_639` `associate-/l/_binary64_640` `sqrt-pow1_binary64_555` `pow1/2_binary64_510`
1×	`+-commutative_binary64_641` `div-inv_binary64_575` `div-exp_binary64_527` `frac-2neg_binary64_567` `clear-num_binary64_577` `cbrt-undiv_binary64_544` `sum-log_binary64_489`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 (.f64 c a) (.f64 d b))
10.0ms	(/.f64 (+.f64 (.f64 c a) (.f64 d b)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (.f64 c a) (.f64 d b))
94.0ms	(/.f64 (+.f64 (.f64 c a) (.f64 d b)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
21.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
38.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify78.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5144	2326

prune314.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Merged error: 22.1b

Counts

106 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.7b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b))))
1.1b	(+.f64 (.f64 c a) (.f64 d b))
23.8b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64_569`
56×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
18×	`associate-/r*_binary64_637`
14×	`add-exp-log_binary64_538`
11×	`add-cbrt-cube_binary64_546` `associate-/r/_binary64_639`
8×	`flip3-+_binary64_572` `flip-+_binary64_599` `add-log-exp_binary64_539`
6×	`div-inv_binary64_575` `associate-/l*_binary64_638`
5×	`pow1_binary64_520` `div-exp_binary64_527`
4×	`cbrt-undiv_binary64_544`
2×	`+-commutative_binary64_641` `associate-/l/_binary64_640` `frac-2neg_binary64_567` `rec-exp_binary64_526` `clear-num_binary64_577` `sum-log_binary64_489`
1×	`inv-pow_binary64_496` `pow-flip_binary64_504`

Counts

4 → 135

Calls

4 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
16.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b))))
4.0ms	(+.f64 (.f64 c a) (.f64 d b))
9.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (.f64 c c) (.f64 d d))
125.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b))))
34.0ms	(+.f64 (.f64 c a) (.f64 d b))
58.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 c a) (.f64 d b)))

simplify97.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4938	4801
1	4938	4801

prune386.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	147	10	157

Merged error: 22.1b

Counts

157 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_559` `sqrt-prod_binary64_553`
8×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `sqrt-div_binary64_554`
4×	`rem-sqrt-square_binary64_562` `add-cbrt-cube_binary64_546` `sqrt-pow1_binary64_555` `flip3-+_binary64_572` `flip-+_binary64_599` `pow1/2_binary64_510` `add-exp-log_binary64_538` `add-log-exp_binary64_539`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
5.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
8.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
23.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
22.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify131.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4942	1000
1	4942	1000

prune232.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	71	11	82

Merged error: 22.1b

Counts

82 → 11

regimes718.0ms

Accuracy

23.6% (2.2b remaining)

Error of 25.3b against oracle of 23.1b and baseline of 26.0b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	80
1	24	80

end0.0ms

sample889.0ms

Algorithm

intervals

Results

579.0ms	8000×	body	80	valid
19.0ms	432×	body	80	invalid

Details

analyze544.0ms

sample29.0ms

simplify12.0ms

prune7.0ms

localize18.0ms

rewrite22.0ms

series149.0ms

simplify58.0ms

prune236.0ms

localize22.0ms

rewrite24.0ms

series189.0ms

simplify78.0ms

prune314.0ms

localize20.0ms

rewrite41.0ms

series240.0ms

simplify97.0ms

prune386.0ms

localize28.0ms

rewrite22.0ms

series92.0ms

simplify131.0ms

prune232.0ms

regimes718.0ms

bsearch2.0ms

simplify3.0ms

end0.0ms

sample889.0ms

Profiling