Details

analyze266.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample43.0ms

Algorithm

intervals

Results

15.0ms	158×	body	160	valid
8.0ms	280×	pre	80	true
6.0ms	44×	body	320	valid
3.0ms	54×	body	80	valid
1.0ms	24×	body	80	nan

simplify225.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 44.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
0.3b	(.f64 (.f64 3.0 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
38.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
5.0ms	(.f64 (.f64 3.0 a) c)
14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))
4.0ms	(.f64 (.f64 3.0 a) c)
23.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3.0 a) c))) b) (.f64 3.0 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3.0 a) c))) b)

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4979	1189
1	4979	1189

prune143.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	72	13	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	13	86

Merged error: 5.1b

Counts

86 → 13

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune39.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 5.1b

Counts

13 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(.f64 1.5 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (*.f64 a c) b)
0.4b	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64` `times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `associate-/l*_binary64`
6×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64` `unswap-sqr_binary64` `div-sub_binary64` `distribute-frac-neg_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)
5.0ms	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(.f64 1.5 (/.f64 (.f64 a c) b))
6.0ms	(/.f64 (*.f64 a c) b)
6.0ms	(/.f64 (neg.f64 (.f64 1.5 (/.f64 (.f64 a c) b))) (*.f64 3.0 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5059	709

prune152.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	74	13	87
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	75	25	100

Merged error: 5.0b

Counts

100 → 25

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(.f64 1.5 (.f64 a c))
0.3b	(.f64 (.f64 1.5 (*.f64 a c)) (/.f64 1 b))
0.4b	(/.f64 (neg.f64 (.f64 (.f64 1.5 (.f64 a c)) (/.f64 1 b))) (.f64 3.0 a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log_binary64`
34×	`add-cbrt-cube_binary64`
28×	`prod-exp_binary64`
17×	`pow1_binary64`
16×	`cbrt-unprod_binary64`
15×	`times-frac_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64`
5×	`cbrt-undiv_binary64`
4×	`associate-l_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`
1×	`associate-/r*_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-frac-neg_binary64`

Counts

3 → 94

Calls

3 calls:

5.0ms	(.f64 1.5 (.f64 a c))
11.0ms	(.f64 (.f64 1.5 (*.f64 a c)) (/.f64 1 b))
6.0ms	(/.f64 (neg.f64 (.f64 (.f64 1.5 (.f64 a c)) (/.f64 1 b))) (.f64 3.0 a))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(.f64 1.5 (.f64 a c))
7.0ms	(.f64 (.f64 1.5 (*.f64 a c)) (/.f64 1 b))
6.0ms	(/.f64 (neg.f64 (.f64 (.f64 1.5 (.f64 a c)) (/.f64 1 b))) (.f64 3.0 a))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5030	925

prune72.0ms

Filtered

58 candidates to 103 candidates (-77.6%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	2	21	23
Picked	1	0	1
Done	0	1	1
Total	99	29	128

Merged error: 5.0b

Counts

128 → 29

regimes575.0ms

Accuracy

10.8% (6.0b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 11.8b

bsearch2.0ms

Steps

Iters	Range		Point
0	0.05157698258216537	0.05325266511284204	0.052414823847503705

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	40
1	104	40

end0.0ms

sample1.2s

Algorithm

intervals

Results

458.0ms	4886×	body	160	valid
257.0ms	8900×	pre	80	true
192.0ms	1347×	body	320	valid
86.0ms	1767×	body	80	valid
43.0ms	900×	body	80	nan

Details

analyze266.0ms

sample43.0ms

simplify225.0ms

prune7.0ms

localize9.0ms

rewrite34.0ms

series50.0ms

simplify42.0ms

prune143.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune39.0ms

localize9.0ms

rewrite20.0ms

series19.0ms

simplify55.0ms

prune152.0ms

localize11.0ms

rewrite26.0ms

series18.0ms

simplify45.0ms

prune72.0ms

regimes575.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling