Details

analyze690.0ms

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

sample59.0ms

Algorithm

intervals

Results

27.0ms	73×	body	1280	valid
12.0ms	53×	body	640	valid
5.0ms	36×	body	320	valid
4.0ms	76×	body	80	valid
2.0ms	18×	body	160	valid

simplify504.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4850	5
1	4850	5

prune8.0ms

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

rewrite11.0ms

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	232
1	4978	232

prune31.0ms

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: 0b

Counts

35 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 2)
4.7b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
21×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `associate-/r/_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `sqrt-pow1_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `sqrt-div_binary64` `cube-mult_binary64`

Counts

4 → 102

Calls

4 calls:

15.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 2)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series49.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
5.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)
6.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5216	1415

prune59.0ms

Filtered

70 candidates to 114 candidates (-62.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

853.0ms	2341×	body	1280	valid
400.0ms	1684×	body	640	valid
130.0ms	820×	body	320	valid
123.0ms	2752×	body	80	valid
43.0ms	403×	body	160	valid
0.0ms	5×	body	80	invalid

Details

analyze690.0ms

sample59.0ms

simplify504.0ms

prune8.0ms

localize6.0ms

rewrite11.0ms

series15.0ms

simplify43.0ms

prune31.0ms

localize10.0ms

rewrite33.0ms

series49.0ms

simplify46.0ms

prune59.0ms

regimes16.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling