Details

analyze58.0ms

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

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune4.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5162	121

prune20.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite19.0ms

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:

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

series86.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
22.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
18.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
19.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4888	487
1	4888	487

prune43.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
9.6b	(cbrt.f64 (*.f64 y x))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite13.0ms

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

series70.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 (*.f64 y x))
19.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
19.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5431	277

prune29.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))
21.2b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`*-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 → 40

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
19.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5908	268

prune23.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample287.0ms

Algorithm

intervals

Results

151.0ms	8000×	body	80	valid
3.0ms	156×	body	80	invalid

Details

analyze58.0ms

sample11.0ms

simplify6.0ms

prune4.0ms

localize4.0ms

rewrite6.0ms

series8.0ms

simplify46.0ms

prune20.0ms

localize7.0ms

rewrite19.0ms

series86.0ms

simplify49.0ms

prune43.0ms

localize12.0ms

rewrite13.0ms

series70.0ms

simplify51.0ms

prune29.0ms

localize14.0ms

rewrite11.0ms

series68.0ms

simplify51.0ms

prune23.0ms

regimes107.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample287.0ms

Profiling