Details

analyze70.0ms

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

sample24.0ms

Algorithm

intervals

Results

10.0ms	233×	body	80	valid
4.0ms	7×	body	1280	valid
2.0ms	6×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid
0.0ms	2×	body	80	invalid

simplify152.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4812	14
1	4812	14

prune1.0ms

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: 0.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite14.0ms

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:

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

series92.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
5.0ms	(+.f64 1 (exp.f64 x))
47.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify124.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4848	761
1	4848	761

prune43.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.6b

Counts

54 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.9b	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
5.2b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
5.5b	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`log-prod_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow-pow_binary64` `unpow-prod-down_binary64` `difference-of-squares_binary64` `log-div_binary64`
3×	`pow-unpow_binary64` `distribute-lft-out_binary64` `cube-prod_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `unpow2_binary64` `rem-log-exp_binary64` `log-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 74

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 3)
6.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
6.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
9.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow.f64 (exp.f64 x) 3)
85.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
25.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
118.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))

simplify95.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4988	1245
1	4988	1245

prune77.0ms

Filtered

54 candidates to 86 candidates (-59.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0.6b

Counts

89 → 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))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite20.0ms

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:

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

series135.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(+.f64 1 (exp.f64 x))
58.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
65.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify79.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5022	988

prune64.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	76	3	79

Merged error: 0.6b

Counts

79 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.7b	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.4b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod_binary64`
16×	`*-un-lft-identity_binary64`
11×	`pow1_binary64`
10×	`add-cube-cbrt_binary64` `log-pow_binary64` `add-sqr-sqrt_binary64`
8×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `exp-sum_binary64`
4×	`add-cbrt-cube_binary64` `log-div_binary64` `sqrt-div_binary64` `exp-prod_binary64`
3×	`flip3-+_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `flip-+_binary64`
2×	`rem-log-exp_binary64`
1×	`rem-exp-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 70

Calls

4 calls:

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

series190.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 1 (exp.f64 x))
59.0ms	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
61.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
65.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify81.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4978	1086
1	4978	1086

prune71.0ms

Filtered

53 candidates to 82 candidates (-54.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	82	3	85

Merged error: 0.6b

Counts

85 → 3

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	35
1	63	35

end0.0ms

sample652.0ms

Algorithm

intervals

Results

319.0ms	7343×	body	80	valid
76.0ms	262×	body	640	valid
64.0ms	120×	body	1280	valid
34.0ms	175×	body	320	valid
11.0ms	100×	body	160	valid
2.0ms	44×	body	80	invalid
0.0ms	10×	body	80	overflowed

Details

analyze70.0ms

sample24.0ms

simplify152.0ms

prune1.0ms

localize7.0ms

rewrite14.0ms

series92.0ms

simplify124.0ms

prune43.0ms

localize15.0ms

rewrite27.0ms

series250.0ms

simplify95.0ms

prune77.0ms

localize9.0ms

rewrite20.0ms

series135.0ms

simplify79.0ms

prune64.0ms

localize13.0ms

rewrite17.0ms

series190.0ms

simplify81.0ms

prune71.0ms

regimes22.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample652.0ms

Profiling