Details

analyze398.0ms

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%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	232×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	18×	body	80	invalid
1.0ms	4×	body	640	valid
0.0ms	6×	body	160	valid

simplify160.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	2425	11
1	2425	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(-.f64 2/3 z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 y x) 6)
2.0ms	(-.f64 2/3 z)
13.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5185	879

prune77.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 6 (-.f64 2/3 z))
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(*.f64 6 (-.f64 2/3 z))
4.0ms	(-.f64 2/3 z)
5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
11.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 6 (-.f64 2/3 z))
2.0ms	(-.f64 2/3 z)
13.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
9.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

simplify27.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5053	920

prune65.0ms

Filtered

67 candidates to 96 candidates (-43.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
13×	`associate-r_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `unsub-neg_binary64`

Counts

4 → 79

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) 6)
9.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
9.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 y x) 6)
15.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
8.0ms	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1036
1	4947	1036

prune106.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	89	12	101

Merged error: 0.0b

Counts

101 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6)))))
0.1b	(.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6))))
0.8b	(*.f64 (-.f64 2/3 z) (sqrt.f64 6))
0.8b	(.f64 (sqrt.f64 6) (.f64 (-.f64 2/3 z) (sqrt.f64 6)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
14×	`*-un-lft-identity_binary64`
12×	`associate-*l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
8×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64`
4×	`frac-times_binary64`
3×	`*-commutative_binary64`
2×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6)))))
15.0ms	(.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6))))
8.0ms	(*.f64 (-.f64 2/3 z) (sqrt.f64 6))
13.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 2/3 z) (sqrt.f64 6)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6)))))
37.0ms	(.f64 (-.f64 y x) (.f64 (sqrt.f64 6) (*.f64 (-.f64 2/3 z) (sqrt.f64 6))))
8.0ms	(*.f64 (-.f64 2/3 z) (sqrt.f64 6))
9.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 2/3 z) (sqrt.f64 6)))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5366	1017

prune54.0ms

Filtered

72 candidates to 103 candidates (-43.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	103	12	115

Merged error: 0.0b

Counts

115 → 12

regimes166.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample570.0ms

Algorithm

intervals

Results

264.0ms	7220×	body	80	valid
34.0ms	261×	body	640	valid
32.0ms	180×	body	1280	valid
25.0ms	218×	body	320	valid
21.0ms	595×	body	80	invalid
8.0ms	121×	body	160	valid

Details

analyze398.0ms

sample19.0ms

simplify160.0ms

prune5.0ms

localize7.0ms

rewrite28.0ms

series32.0ms

simplify34.0ms

prune77.0ms

localize7.0ms

rewrite29.0ms

series28.0ms

simplify27.0ms

prune65.0ms

localize9.0ms

rewrite30.0ms

series33.0ms

simplify60.0ms

prune106.0ms

localize17.0ms

rewrite45.0ms

series110.0ms

simplify38.0ms

prune54.0ms

regimes166.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample570.0ms

Profiling