Details

analyze68.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample22.0ms

Algorithm

intervals

Results

11.0ms	241×	body	80	valid
1.0ms	7×	body	320	valid
1.0ms	3×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	80	invalid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5682	9

prune2.0ms

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: 1.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

4.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+.f64 1 (exp.f64 x))
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
11.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5082	482

prune32.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0.4b

Counts

54 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
1.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 64

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+.f64 1 (exp.f64 x))
2.0ms	(+.f64 1 (exp.f64 x))
13.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
15.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	606
1	4974	606

prune44.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0.4b

Counts

79 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
0.0b	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
8.5b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `associate-+r+_binary64`

Counts

3 → 43

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
9.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
8.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
3.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
4.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4916	803
1	4916	803

prune38.0ms

Filtered

43 candidates to 52 candidates (-20.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	52	3	55

Merged error: 0.4b

Counts

55 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x)))) (*.f64 x y))
0.0b	(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x))))
0.0b	(+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (*.f64 2 (log.f64 x)))
0.1b	(/.f64 2 (*.f64 x x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-log-exp_binary64`
15×	`sum-log_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`associate-+r+_binary64`
6×	`log-prod_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64` `+-commutative_binary64`
1×	`associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 72

Calls

4 calls:

19.0ms	(-.f64 (+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x)))) (*.f64 x y))
16.0ms	(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x))))
11.0ms	(+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (*.f64 2 (log.f64 x)))
5.0ms	(/.f64 2 (*.f64 x x))

series49.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x)))) (*.f64 x y))
7.0ms	(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (.f64 2 (log.f64 x))))
20.0ms	(+.f64 (+.f64 (log.f64 1/2) (/.f64 2 x)) (*.f64 2 (log.f64 x)))
3.0ms	(/.f64 2 (*.f64 x x))

simplify78.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4996	1360
1	4996	1360

prune75.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	83	4	87

Merged error: 0.4b

Counts

87 → 4

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample676.0ms

Algorithm

intervals

Results

341.0ms	7359×	body	80	valid
68.0ms	222×	body	640	valid
66.0ms	121×	body	1280	valid
35.0ms	185×	body	320	valid
13.0ms	113×	body	160	valid
2.0ms	45×	body	80	invalid
0.0ms	11×	body	80	overflowed

Details

analyze68.0ms

sample22.0ms

simplify123.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series22.0ms

simplify46.0ms

prune32.0ms

localize9.0ms

rewrite19.0ms

series31.0ms

simplify52.0ms

prune44.0ms

localize10.0ms

rewrite29.0ms

series17.0ms

simplify49.0ms

prune38.0ms

localize16.0ms

rewrite53.0ms

series49.0ms

simplify78.0ms

prune75.0ms

regimes82.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample676.0ms

Profiling