Details

analyze51.0ms

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

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(.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)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5162	121

prune23.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

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

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))))
22.3b	(cbrt.f64 (.f64 y (.f64 x y)))
22.3b	(cbrt.f64 (.f64 y (.f64 x y)))
22.3b	(cbrt.f64 (.f64 y (.f64 x 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:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4888	487
1	4888	487

prune62.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
11.2b	(cbrt.f64 (*.f64 y x))
22.3b	(cbrt.f64 (.f64 y (.f64 x y)))
22.3b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite12.0ms

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

series62.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
12.0ms	(cbrt.f64 (*.f64 y x))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5431	277

prune54.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
22.3b	(cbrt.f64 (.f64 y (.f64 x y)))
22.3b	(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)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
17.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5908	268

prune40.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

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

Merged error: 0.0b

Counts

61 → 9

regimes149.0ms

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

sample278.0ms

Algorithm

intervals

Results

147.0ms	8000×	body	80	valid
3.0ms	193×	body	80	invalid

Details

analyze51.0ms

sample15.0ms

simplify5.0ms

prune5.0ms

localize3.0ms

rewrite6.0ms

series7.0ms

simplify42.0ms

prune23.0ms

localize7.0ms

rewrite21.0ms

series75.0ms

simplify47.0ms

prune62.0ms

localize11.0ms

rewrite12.0ms

series62.0ms

simplify47.0ms

prune54.0ms

localize12.0ms

rewrite11.0ms

series64.0ms

simplify49.0ms

prune40.0ms

regimes149.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample278.0ms

Profiling