Details

analyze580.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample64.0ms

Algorithm

intervals

Results

29.0ms	73×	body	1280	valid
13.0ms	47×	body	640	valid
5.0ms	29×	body	320	valid
5.0ms	92×	body	80	valid
2.0ms	15×	body	160	valid

simplify641.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4819	8
1	4819	8

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 1 (exp.f64 x))
32.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	368
1	4972	368

prune19.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 3/16))
0.0b	(+.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16))))
0.1b	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
0.4b	(/.f64 x (sqrt.f64 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-l_binary64` `sqrt-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `frac-times_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

3.0ms	(+.f64 1/2 (*.f64 x 3/16))
5.0ms	(+.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16))))
10.0ms	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
4.0ms	(/.f64 x (sqrt.f64 2))

series211.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+.f64 1/2 (*.f64 x 3/16))
41.0ms	(+.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16))))
104.0ms	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
42.0ms	(/.f64 x (sqrt.f64 2))

simplify113.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4940	2031
1	4940	2031

prune119.0ms

Filtered

84 candidates to 123 candidates (-46.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	3	125

Merged error: 0b

Counts

125 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
0.1b	(.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (*.f64 x 3/16)))
0.4b	(/.f64 x (sqrt.f64 2))
13.7b	(/.f64 (-.f64 2 (.f64 (.f64 (.f64 x 1/2) x) (.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (.f64 x 3/16))))) (-.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
47×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`associate-l_binary64`
22×	`sqrt-prod_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
9×	`associate-/r*_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-/l*_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
3×	`swap-sqr_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `div-sub_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 154

Calls

4 calls:

12.0ms	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
9.0ms	(.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (*.f64 x 3/16)))
5.0ms	(/.f64 x (sqrt.f64 2))
9.0ms	(/.f64 (-.f64 2 (.f64 (.f64 (.f64 x 1/2) x) (.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (.f64 x 3/16))))) (-.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))
13.0ms	(.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (*.f64 x 3/16)))
46.0ms	(/.f64 x (sqrt.f64 2))
84.0ms	(/.f64 (-.f64 2 (.f64 (.f64 (.f64 x 1/2) x) (.f64 (+.f64 1/2 (.f64 x 3/16)) (+.f64 1/2 (.f64 x 3/16))))) (-.f64 (sqrt.f64 2) (.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (.f64 x 3/16)))))

simplify141.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4925	4258
1	4925	4258

prune348.0ms

Filtered

117 candidates to 166 candidates (-41.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	166	3	169

Merged error: 0b

Counts

169 → 3

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

882.0ms	2259×	body	1280	valid
411.0ms	1634×	body	640	valid
145.0ms	2918×	body	80	valid
137.0ms	802×	body	320	valid
43.0ms	387×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze580.0ms

sample64.0ms

simplify641.0ms

prune7.0ms

localize6.0ms

rewrite10.0ms

series38.0ms

simplify66.0ms

prune19.0ms

localize14.0ms

rewrite25.0ms

series211.0ms

simplify113.0ms

prune119.0ms

localize17.0ms

rewrite40.0ms

series233.0ms

simplify141.0ms

prune348.0ms

regimes13.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling