Details

analyze532.0ms

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
0.0ms	9×	body	80	invalid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4821	15
1	4821	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: 28.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
27.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite17.0ms

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×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(-.f64 (.f64 b c) (.f64 a d))
9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (.f64 b c) (.f64 a d))
30.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5676	845

prune83.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	7	50

Merged error: 27.1b

Counts

50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
17.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.0b	(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`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
5.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (.f64 b c) (.f64 a d))
39.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5760	1553

prune109.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	94	10	104

Merged error: 25.0b

Counts

104 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
17.1b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite24.0ms

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`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 b c) (.f64 a d))
40.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5760	1553

prune107.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 25.0b

Counts

107 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
0.8b	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
26.8b	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `times-frac_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`
15×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
13.0ms	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))

series50.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
30.0ms	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5512	1326

prune61.0ms

Filtered

60 candidates to 95 candidates (-58.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	95	10	105

Merged error: 25.0b

Counts

105 → 10

regimes442.0ms

Accuracy

0% (3.0b remaining)

Error of 26.4b against oracle of 23.4b and baseline of 26.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	25
1	42	25

end0.0ms

sample614.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
22.0ms	435×	body	80	invalid

Details

analyze532.0ms

sample22.0ms

simplify199.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series41.0ms

simplify46.0ms

prune83.0ms

localize12.0ms

rewrite26.0ms

series66.0ms

simplify53.0ms

prune109.0ms

localize13.0ms

rewrite24.0ms

series65.0ms

simplify53.0ms

prune107.0ms

localize11.0ms

rewrite26.0ms

series50.0ms

simplify50.0ms

prune61.0ms

regimes442.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample614.0ms

Profiling