Details

analyze526.0ms

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

sample31.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5300	22

prune6.0ms

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: 27.1b

Counts

2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(-.f64 (.f64 b c) (.f64 a d))
26.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite18.0ms

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`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_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` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

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

series171.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+.f64 (.f64 c c) (.f64 d d))
44.0ms	(-.f64 (.f64 b c) (.f64 a d))
106.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify81.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5637	1456

prune226.0ms

Filtered

51 candidates to 63 candidates (-23.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 26.3b

Counts

64 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite30.0ms

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(-.f64 (.f64 c b) (.f64 d a))
103.0ms	(/.f64 (-.f64 (.f64 c b) (.f64 d a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5657	2368

prune317.0ms

Filtered

75 candidates to 97 candidates (-29.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	96	10	106

Merged error: 24.1b

Counts

106 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite25.0ms

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×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/r*_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` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 84

Calls

4 calls:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (.f64 c b) (.f64 d a))
89.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
23.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify83.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5480	2352

prune301.0ms

Filtered

73 candidates to 96 candidates (-31.5%)

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: 24.1b

Counts

106 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c b) (.f64 d a))
16.9b	(.f64 (-.f64 (.f64 c b) (.f64 d a)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite32.0ms

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`
11×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
5×	`unswap-sqr_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `associate-l_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

4.0ms	(-.f64 (.f64 c b) (.f64 d a))
16.0ms	(.f64 (-.f64 (.f64 c b) (.f64 d a)) (/.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)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(-.f64 (.f64 c b) (.f64 d a))
110.0ms	(.f64 (-.f64 (.f64 c b) (.f64 d a)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify81.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5137	2255

prune250.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	105	10	115

Merged error: 24.1b

Counts

115 → 10

regimes682.0ms

Accuracy

30% (2.2b remaining)

Error of 25.9b against oracle of 23.7b and baseline of 26.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	114
1	64	114

end0.0ms

sample667.0ms

Algorithm

intervals

Results

369.0ms	8000×	body	80	valid
20.0ms	457×	body	80	invalid

Details

analyze526.0ms

sample31.0ms

simplify114.0ms

prune6.0ms

localize16.0ms

rewrite18.0ms

series171.0ms

simplify81.0ms

prune226.0ms

localize19.0ms

rewrite30.0ms

series201.0ms

simplify62.0ms

prune317.0ms

localize22.0ms

rewrite25.0ms

series185.0ms

simplify83.0ms

prune301.0ms

localize32.0ms

rewrite32.0ms

series205.0ms

simplify81.0ms

prune250.0ms

regimes682.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample667.0ms

Profiling