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

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

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: 24.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.5b	(+.f64 (.f64 a c) (.f64 b d))
24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 53

Calls

3 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 c c) (.f64 d d))
10.0ms	(+.f64 (.f64 a c) (.f64 b d))
33.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5334	951

prune72.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 23.8b

Counts

63 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
14.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

5.0ms	(+.f64 (.f64 a c) (.f64 b d))
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (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)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 a c) (.f64 b d))
38.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5503	1525

prune66.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Merged error: 21.6b

Counts

106 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
14.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
27.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 (.f64 a c) (.f64 b d))
11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (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)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (.f64 a c) (.f64 b d))
39.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5503	1525

prune63.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

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

Merged error: 21.6b

Counts

106 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

14.9b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
28.8b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.8b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.8b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
4.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
19.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
20.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
20.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5821	782

prune36.0ms

Filtered

61 candidates to 64 candidates (-4.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 21.6b

Counts

74 → 10

regimes237.0ms

Accuracy

0% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	17	25

end0.0ms

sample611.0ms

Algorithm

intervals

Results

360.0ms	8000×	body	80	valid
21.0ms	482×	body	80	invalid

Details

analyze544.0ms

sample22.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite20.0ms

series49.0ms

simplify49.0ms

prune72.0ms

localize15.0ms

rewrite26.0ms

series62.0ms

simplify64.0ms

prune66.0ms

localize13.0ms

rewrite26.0ms

series62.0ms

simplify64.0ms

prune63.0ms

localize19.0ms

rewrite19.0ms

series93.0ms

simplify63.0ms

prune36.0ms

regimes237.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample611.0ms

Profiling