Details

analyze238.0ms

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
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4947	12
1	4947	12

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
9×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
17.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4947	732
1	4947	732

prune56.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0b

Counts

70 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod_binary64`
36×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`cbrt-prod_binary64`
26×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64` `associate-+l+_binary64`
12×	`associate-+r+_binary64`
10×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow1/3_binary64`
2×	`distribute-lft-out_binary64` `log-pow_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
18.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series171.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
90.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)

simplify76.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4889	1179
1	4889	1179

prune95.0ms

Filtered

102 candidates to 121 candidates (-18.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))
0.1b	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
0.3b	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
0.4b	(*.f64 -1/3 (neg.f64 (log.f64 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`log-prod_binary64` `distribute-neg-in_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `associate-l_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `diff-log_binary64` `distribute-rgt-neg-out_binary64` `associate-r/_binary64` `log-pow_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `distribute-lft-neg-out_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))
6.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
8.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
7.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3))))
11.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
19.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
9.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5649	870

prune65.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 y 2/3) (sqrt.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.9b	(pow.f64 y 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64` `cbrt-prod_binary64`
10×	`add-exp-log_binary64`
9×	`associate-r_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`associate-l_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(*.f64 (pow.f64 y 2/3) (sqrt.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 2/3)

series488.0ms

Counts

4 → 12

Calls

4 calls:

440.0ms	(*.f64 (pow.f64 y 2/3) (sqrt.f64 (cbrt.f64 y)))
18.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 2/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4904	528
1	4904	528

prune59.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	89	6	95

Merged error: 0b

Counts

95 → 6

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	12
1	63	12

end0.0ms

sample548.0ms

Algorithm

intervals

Results

361.0ms	8000×	body	80	valid
2.0ms	38×	body	80	invalid

Details

analyze238.0ms

sample20.0ms

simplify132.0ms

prune5.0ms

localize9.0ms

rewrite19.0ms

series38.0ms

simplify41.0ms

prune56.0ms

localize13.0ms

rewrite33.0ms

series171.0ms

simplify76.0ms

prune95.0ms

localize12.0ms

rewrite29.0ms

series49.0ms

simplify31.0ms

prune65.0ms

localize22.0ms

rewrite16.0ms

series488.0ms

simplify61.0ms

prune59.0ms

regimes206.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample548.0ms

Profiling