Details

analyze40.0ms

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	128	valid
5.0ms	2×	body	128	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 27) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 27) y)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(*.f64 (*.f64 x 27) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4886	179
1	4886	179

prune15.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(.f64 x (.f64 27 y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 27 y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 x (*.f64 27 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4914	177
1	4914	177

prune12.0ms

Filtered

9 candidates to 21 candidates (-133.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	19	8	27

Merged error: 0.0b

Counts

27 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series657.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
156.0ms	(cbrt.f64 y)
163.0ms	(cbrt.f64 y)
158.0ms	(cbrt.f64 y)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune55.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.6b	(.f64 (.f64 27 y) (cbrt.f64 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
6.0ms	(.f64 (.f64 27 y) (cbrt.f64 x))

series576.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
152.0ms	(cbrt.f64 x)
109.0ms	(.f64 (.f64 27 y) (cbrt.f64 x))

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5327	509

prune43.0ms

Filtered

51 candidates to 66 candidates (-29.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	4	4
Picked	0	1	1
Done	1	2	3
Total	65	9	74

Merged error: 0.0b

Counts

74 → 9

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample275.0ms

Algorithm

intervals

Results

137.0ms	8000×	body	128	valid
1.0ms	76×	body	128	invalid

Details

analyze40.0ms

sample16.0ms

simplify9.0ms

prune1.0ms

localize3.0ms

rewrite6.0ms

series36.0ms

simplify56.0ms

prune15.0ms

localize3.0ms

rewrite6.0ms

series33.0ms

simplify60.0ms

prune12.0ms

localize8.0ms

rewrite15.0ms

series657.0ms

simplify61.0ms

prune55.0ms

localize7.0ms

rewrite13.0ms

series576.0ms

simplify46.0ms

prune43.0ms

regimes67.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample275.0ms

Profiling