Details

analyze54.0ms

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

5.0ms	256×	body	80	valid
0.0ms	6×	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: 0.2b

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)

simplify43.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5162	121

prune28.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

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))))
20.6b	(cbrt.f64 (.f64 y (.f64 x y)))
20.6b	(cbrt.f64 (.f64 y (.f64 x y)))
20.6b	(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)))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
6.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
20.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
20.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
20.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4888	487
1	4888	487

prune75.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune84.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt.f64 (.f64 y (.f64 x y)))
20.6b	(cbrt.f64 (.f64 y (.f64 x y)))
20.6b	(cbrt.f64 (.f64 y (.f64 y x)))
20.6b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

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

series80.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
20.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
21.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
20.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5172	336

prune41.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	47	11	58

Merged error: 0b

Counts

58 → 11

regimes173.0ms

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

sample276.0ms

Algorithm

intervals

Results

153.0ms	8000×	body	80	valid
3.0ms	186×	body	80	invalid

Details

analyze54.0ms

sample15.0ms

simplify5.0ms

prune5.0ms

localize4.0ms

rewrite6.0ms

series8.0ms

simplify43.0ms

prune28.0ms

localize7.0ms

rewrite21.0ms

series94.0ms

simplify48.0ms

prune75.0ms

localize7.0ms

rewrite11.0ms

series75.0ms

simplify46.0ms

prune84.0ms

localize16.0ms

rewrite16.0ms

series80.0ms

simplify51.0ms

prune41.0ms

regimes173.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample276.0ms

Profiling