Details

analyze180.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid
0.0ms	4×	body	80	nan

simplify252.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (249.0ms)

Iter	Nodes	Cost
0	4888	12
1	4888	12

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
10.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
14.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4900	681
1	4900	681

prune61.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 z))
0.0b	(log.f64 (sqrt.f64 z))
0.0b	(+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
0.2b	(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
36×	`distribute-lft-out_binary64`
28×	`pow1_binary64`
24×	`log-pow_binary64`
18×	`log-prod_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
6×	`add-cbrt-cube_binary64` `associate-+r+_binary64`
5×	`sum-log_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `associate-*r/_binary64` `associate-+l-_binary64` `sqrt-pow1_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

2.0ms	(log.f64 (sqrt.f64 z))
2.0ms	(log.f64 (sqrt.f64 z))
15.0ms	(+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
17.0ms	(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 z))
5.0ms	(log.f64 (sqrt.f64 z))
7.0ms	(+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
16.0ms	(*.f64 y (+.f64 (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5189	902

prune70.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 1 z))
0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.2b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
10×	`associate-r_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-+r+_binary64`
6×	`associate-l_binary64`
4×	`sub-neg_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 83

Calls

4 calls:

10.0ms	(*.f64 y (-.f64 1 z))
10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (-.f64 1 z))
14.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
15.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (log.f64 z))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5068	831

prune69.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Merged error: 0b

Counts

103 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 z))
0.1b	(+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z)))) (.f64 y (log.f64 (sqrt.f64 z))))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))))
0.3b	(*.f64 y (log.f64 (sqrt.f64 z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod_binary64`
26×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
15×	`sqrt-prod_binary64`
14×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
13×	`associate-r_binary64`
12×	`associate-+r+_binary64`
9×	`add-exp-log_binary64`
8×	`log-pow_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-+l+_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`rem-log-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 102

Calls

4 calls:

2.0ms	(log.f64 (sqrt.f64 z))
14.0ms	(+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z)))) (.f64 y (log.f64 (sqrt.f64 z))))
12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))))
6.0ms	(*.f64 y (log.f64 (sqrt.f64 z)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 z))
16.0ms	(+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z)))) (.f64 y (log.f64 (sqrt.f64 z))))
13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 (sqrt.f64 z))))
12.0ms	(*.f64 y (log.f64 (sqrt.f64 z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5160	1167

prune56.0ms

Filtered

80 candidates to 114 candidates (-42.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 0b

Counts

122 → 8

regimes234.0ms

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	27	14
1	27	14

end0.0ms

sample593.0ms

Algorithm

intervals

Results

380.0ms	8000×	body	80	valid
14.0ms	313×	body	80	invalid
3.0ms	77×	body	80	nan

Details

analyze180.0ms

sample21.0ms

simplify252.0ms

prune3.0ms

localize9.0ms

rewrite31.0ms

series38.0ms

simplify56.0ms

prune61.0ms

localize14.0ms

rewrite40.0ms

series34.0ms

simplify47.0ms

prune70.0ms

localize10.0ms

rewrite37.0ms

series42.0ms

simplify47.0ms

prune69.0ms

localize12.0ms

rewrite37.0ms

series49.0ms

simplify33.0ms

prune56.0ms

regimes234.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample593.0ms

Profiling