Details

analyze240.0ms

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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 x 3.0) y) y)
0.2b	(.f64 (.f64 x 3.0) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3.0) y) y)
6.0ms	(.f64 (.f64 x 3.0) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 (.f64 (*.f64 x 3.0) y) y)
4.0ms	(.f64 (.f64 x 3.0) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	307
1	4953	307

prune39.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Merged error: 0.1b

Counts

46 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x (*.f64 3.0 y)) y)
0.2b	(.f64 x (.f64 3.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 x (*.f64 3.0 y)) y)
5.0ms	(.f64 x (.f64 3.0 y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 (.f64 x (*.f64 3.0 y)) y)
7.0ms	(.f64 x (.f64 3.0 y))

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5185	308

prune33.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 3.0) y)) (cbrt.f64 (.f64 (*.f64 x 3.0) y)))
11.7b	(cbrt.f64 (.f64 (.f64 x 3.0) y))
11.7b	(cbrt.f64 (.f64 (.f64 x 3.0) y))
11.7b	(cbrt.f64 (.f64 (.f64 x 3.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3.0) y)) (cbrt.f64 (.f64 (*.f64 x 3.0) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
6.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))

series90.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3.0) y)) (cbrt.f64 (.f64 (*.f64 x 3.0) y)))
19.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
19.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
19.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5139	497

prune73.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.7b	(cbrt.f64 (*.f64 x 3.0))
11.7b	(cbrt.f64 (.f64 (.f64 x 3.0) y))
11.7b	(cbrt.f64 (.f64 (.f64 x 3.0) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
5×	`*-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 → 38

Calls

4 calls:

1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (*.f64 x 3.0))
6.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
20.0ms	(cbrt.f64 (*.f64 x 3.0))
18.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))
19.0ms	(cbrt.f64 (.f64 (.f64 x 3.0) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5924	281

prune52.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

regimes200.0ms

Accuracy

0% (0.2b 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	9	7
1	9	7

end0.0ms

sample295.0ms

Algorithm

intervals

Results

176.0ms	8000×	body	80	valid
4.0ms	189×	body	80	invalid

Details

analyze240.0ms

sample12.0ms

simplify5.0ms

prune5.0ms

localize5.0ms

rewrite14.0ms

series13.0ms

simplify56.0ms

prune39.0ms

localize4.0ms

rewrite14.0ms

series17.0ms

simplify36.0ms

prune33.0ms

localize8.0ms

rewrite21.0ms

series90.0ms

simplify46.0ms

prune73.0ms

localize11.0ms

rewrite14.0ms

series74.0ms

simplify46.0ms

prune52.0ms

regimes200.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample295.0ms

Profiling