Details

analyze82.0ms

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

sample60.0ms

Algorithm

intervals

Results

19.0ms	227×	body	80	valid
8.0ms	7×	body	1280	valid
5.0ms	9×	body	640	valid
2.0ms	5×	body	320	valid
2.0ms	8×	body	160	valid
0.0ms	2×	body	80	invalid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4766	14
1	4766	14

prune7.0ms

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: 0.5b

Counts

2 → 1

localize11.0ms

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))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_3142`
8×	`log-prod_binary64_3060`
6×	`add-log-exp_binary64_3107`
5×	`add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
4×	`pow1_binary64_3088` `add-exp-log_binary64_3106` `associate--l+_binary64_3198` `log-div_binary64_3061`
3×	`add-cbrt-cube_binary64_3114` `flip-+_binary64_3167` `flip3-+_binary64_3140` `distribute-lft-out_binary64_3186`
2×	`associate--l-_binary64_3199`
1×	`+-commutative_binary64_3209` `log-pow_binary64_3063` `sum-log_binary64_3057` `sub-neg_binary64_3146` `flip--_binary64_3168` `diff-log_binary64_3058` `flip3--_binary64_3141` `rem-log-exp_binary64_3105`

Counts

3 → 44

Calls

3 calls:

3.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
3.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 1 (exp.f64 x))
38.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
51.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify99.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4928	761
1	4928	761

prune222.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0.2b

Counts

54 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_3142`
16×	`sqrt-prod_binary64_3121`
14×	`log-prod_binary64_3060`
12×	`add-sqr-sqrt_binary64_3127`
10×	`pow1_binary64_3088` `add-cube-cbrt_binary64_3113`
8×	`sqrt-div_binary64_3122`
6×	`log-pow_binary64_3063` `add-exp-log_binary64_3106`
4×	`add-cbrt-cube_binary64_3114` `sqrt-pow1_binary64_3123` `flip-+_binary64_3167` `flip3-+_binary64_3140` `pow1/2_binary64_3078` `distribute-lft-out_binary64_3186` `add-log-exp_binary64_3107` `log-div_binary64_3061`
2×	`rem-sqrt-square_binary64_3130` `rem-log-exp_binary64_3105`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
18.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
67.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
73.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5224	1170

prune316.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.2b

Counts

88 → 4

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
0.0b	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
8.3b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3107`
6×	`log-prod_binary64_3060`
5×	`*-un-lft-identity_binary64_3142` `add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
4×	`pow1_binary64_3088` `add-exp-log_binary64_3106` `log-div_binary64_3061`
3×	`add-cbrt-cube_binary64_3114` `flip-+_binary64_3167` `sum-log_binary64_3057` `flip3-+_binary64_3140` `associate--l+_binary64_3198`
2×	`associate--l-_binary64_3199`
1×	`+-commutative_binary64_3209` `associate-+r+_binary64_3193` `log-pow_binary64_3063` `sub-neg_binary64_3146` `flip--_binary64_3168` `diff-log_binary64_3058` `flip3--_binary64_3141` `rem-log-exp_binary64_3105`

Counts

3 → 43

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
11.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
7.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

series65.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))
37.0ms	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
18.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

simplify82.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	1219
1	4980	1219

prune214.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	52	4	56

Merged error: 0.2b

Counts

56 → 4

localize222.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
0.0b	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))
0.3b	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
8.3b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod_binary64_3060`
9×	`pow1_binary64_3088`
8×	`*-un-lft-identity_binary64_3142` `add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
6×	`add-exp-log_binary64_3106` `add-log-exp_binary64_3107`
5×	`log-pow_binary64_3063`
4×	`add-cbrt-cube_binary64_3114` `exp-sum_binary64_3101` `exp-prod_binary64_3096`
2×	`rem-log-exp_binary64_3105` `log-div_binary64_3061`
1×	`rem-exp-log_binary64_3104` `flip-+_binary64_3167` `sub-neg_binary64_3146` `flip3-+_binary64_3140` `flip--_binary64_3168` `diff-log_binary64_3058` `flip3--_binary64_3141`

Counts

4 → 54

Calls

4 calls:

5.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
1.0ms	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))
2.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
10.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))) (*.f64 x y))
47.0ms	(log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))))
17.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))))
19.0ms	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

simplify65.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4952	1656
1	4952	1656

prune243.0ms

Filtered

51 candidates to 66 candidates (-29.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0.2b

Counts

70 → 4

regimes223.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms

sample738.0ms

Algorithm

intervals

Results

339.0ms	7322×	body	80	valid
83.0ms	256×	body	640	valid
74.0ms	131×	body	1280	valid
35.0ms	173×	body	320	valid
13.0ms	118×	body	160	valid
2.0ms	36×	body	80	invalid
0.0ms	11×	body	80	overflowed

Details

analyze82.0ms

sample60.0ms

simplify109.0ms

prune7.0ms

localize11.0ms

rewrite14.0ms

series95.0ms

simplify99.0ms

prune222.0ms

localize14.0ms

rewrite18.0ms

series177.0ms

simplify70.0ms

prune316.0ms

localize27.0ms

rewrite29.0ms

series65.0ms

simplify82.0ms

prune214.0ms

localize222.0ms

rewrite21.0ms

series116.0ms

simplify65.0ms

prune243.0ms

regimes223.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample738.0ms

Profiling