Details

analyze63.0ms

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

sample26.0ms

Algorithm

intervals

Results

14.0ms	237×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	8×	body	160	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	80	invalid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

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: 0.3b

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))
0.3b	(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:

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

series23.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
2.0ms	(+.f64 1 (exp.f64 x))
11.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5082	482

prune56.0ms

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: 0.2b

Counts

54 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.3b	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
4.7b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.7b	(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)))
7.0ms	(-.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))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow.f64 (exp.f64 x) 3)
20.0ms	(log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))
6.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
24.0ms	(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4919	787
1	4919	787

prune79.0ms

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: 0.2b

Counts

89 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `associate-+r+_binary64`
7×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate--l+_binary64`
6×	`add-exp-log_binary64` `log-div_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64`
3×	`sum-log_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `associate-+l-_binary64` `sqrt-pow1_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `associate-+r-_binary64` `diff-log_binary64`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
18.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+.f64 1 (exp.f64 x))
19.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
15.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
15.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4909	953
1	4909	953

prune84.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.2b

Counts

99 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2))) (*.f64 x y))
6.8b	(log.f64 (+.f64 (.f64 x (.f64 x 1/2)) (+.f64 x 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4921	615
1	4921	615

prune43.0ms

Filtered

32 candidates to 36 candidates (-12.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	36	3	39

Merged error: 0.2b

Counts

39 → 3

regimes73.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	22
1	61	22

end0.0ms

sample642.0ms

Algorithm

intervals

Results

325.0ms	7376×	body	80	valid
66.0ms	224×	body	640	valid
57.0ms	104×	body	1280	valid
31.0ms	157×	body	320	valid
15.0ms	139×	body	160	valid
2.0ms	45×	body	80	invalid
0.0ms	10×	body	80	overflowed

Details

analyze63.0ms

sample26.0ms

simplify130.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series23.0ms

simplify47.0ms

prune56.0ms

localize17.0ms

rewrite27.0ms

series59.0ms

simplify60.0ms

prune79.0ms

localize9.0ms

rewrite33.0ms

series51.0ms

simplify60.0ms

prune84.0ms

localize9.0ms

rewrite20.0ms

series15.0ms

simplify64.0ms

prune43.0ms

regimes73.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample642.0ms

Profiling