Details

analyze549.0ms

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	17×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

prune4.0ms

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: 23.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b	(+.f64 (.f64 a c) (.f64 b d))
22.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

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)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (.f64 a c) (.f64 b d))
41.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify49.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5169	820

prune85.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 22.5b

Counts

49 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 a c) (.f64 b d))
14.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.5b	(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)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (.f64 a c) (.f64 b d))
41.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5491	1525

prune113.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 20.9b

Counts

105 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 a c) (.f64 b d))
14.6b	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
29.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
17×	`sqrt-prod_binary64`
13×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
5×	`unswap-sqr_binary64`
4×	`prod-exp_binary64`
3×	`associate-l_binary64`
2×	`pow1/2_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

5.0ms	(+.f64 (.f64 a c) (.f64 b d))
16.0ms	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (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)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (.f64 a c) (.f64 b d))
44.0ms	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4992	1494
1	4992	1494

prune103.0ms

Filtered

75 candidates to 106 candidates (-41.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	106	10	116

Merged error: 20.9b

Counts

116 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
15.0b	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
29.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series90.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
39.0ms	(cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify55.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5589	740

prune63.0ms

Filtered

62 candidates to 68 candidates (-9.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	68	10	78

Merged error: 20.9b

Counts

78 → 10

regimes441.0ms

Accuracy

24.7% (2.2b remaining)

Error of 25.4b against oracle of 23.2b and baseline of 26.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	53
1	22	53

end0.0ms

sample588.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
23.0ms	465×	body	80	invalid

Details

analyze549.0ms

sample22.0ms

simplify5.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series53.0ms

simplify49.0ms

prune85.0ms

localize15.0ms

rewrite26.0ms

series69.0ms

simplify63.0ms

prune113.0ms

localize14.0ms

rewrite33.0ms

series70.0ms

simplify65.0ms

prune103.0ms

localize16.0ms

rewrite18.0ms

series90.0ms

simplify55.0ms

prune63.0ms

regimes441.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample588.0ms

Profiling