Details

analyze44.0ms

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

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

prune2.0ms

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 27.0) y)

rewrite7.0ms

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:

6.0ms

(*.f64 (*.f64 x 27.0) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 27.0) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune29.0ms

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:

0.3b	(.f64 x (.f64 27.0 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 27.0 y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 x (*.f64 27.0 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5107	121

prune25.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite13.0ms

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)

series73.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune85.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-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 → 50

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))

series90.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)
26.0ms	(cbrt.f64 (cbrt.f64 y))
27.0ms	(cbrt.f64 (cbrt.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5118	284

prune59.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	61	10	71

Merged error: 0.0b

Counts

71 → 10

regimes213.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample254.0ms

Algorithm

intervals

Results

139.0ms	8000×	body	80	valid
1.0ms	70×	body	80	invalid

Details

analyze44.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify43.0ms

prune29.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify56.0ms

prune25.0ms

localize7.0ms

rewrite13.0ms

series73.0ms

simplify49.0ms

prune85.0ms

localize11.0ms

rewrite8.0ms

series90.0ms

simplify49.0ms

prune59.0ms

regimes213.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample254.0ms

Profiling