Details

analyze42.0ms

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

sample9.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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)

series17.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4889	179
1	4889	179

prune12.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4916	177
1	4916	177

prune10.0ms

Filtered

9 candidates to 21 candidates (-133.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite11.0ms

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 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series364.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify115.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune57.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series331.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 x)
82.0ms	(cbrt.f64 x)
82.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4984	340
1	4984	340

prune45.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

regimes89.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample258.0ms

Algorithm

intervals

Results

141.0ms	8000×	body	80	valid
1.0ms	70×	body	80	invalid

Details

analyze42.0ms

sample9.0ms

simplify11.0ms

prune1.0ms

localize3.0ms

rewrite6.0ms

series17.0ms

simplify71.0ms

prune12.0ms

localize3.0ms

rewrite5.0ms

series16.0ms

simplify71.0ms

prune10.0ms

localize9.0ms

rewrite11.0ms

series364.0ms

simplify115.0ms

prune57.0ms

localize12.0ms

rewrite5.0ms

series331.0ms

simplify41.0ms

prune45.0ms

regimes89.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample258.0ms

Profiling