Details

analyze33.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	6

prune9.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (.f64 (.f64 x y) y))
0.1b	(.f64 (.f64 x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`associate-l_binary64` `rem-exp-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	(.f64 (.f64 x y) y)

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(exp.f64 (.f64 (.f64 x y) y))
8.0ms	(.f64 (.f64 x y) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5004	203

prune27.0ms

Filtered

20 candidates to 34 candidates (-70.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `rem-exp-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(exp.f64 (.f64 y (.f64 x y)))
3.0ms	(exp.f64 (.f64 y (.f64 x y)))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (.f64 y (.f64 x y)))
5.0ms	(exp.f64 (.f64 y (.f64 x y)))
4.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5100	382

prune60.0ms

Filtered

44 candidates to 68 candidates (-54.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 y x))) (cbrt.f64 (.f64 y (*.f64 y x))))
28.2b	(cbrt.f64 (.f64 y (.f64 y x)))
28.2b	(cbrt.f64 (.f64 y (.f64 y x)))
28.2b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite20.0ms

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

series92.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 y x))) (cbrt.f64 (.f64 y (*.f64 y x))))
21.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
20.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
23.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4892	487
1	4892	487

prune63.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize15.0ms

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)

rewrite12.0ms

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)

series79.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
20.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune68.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	30
1	16	30

end0.0ms

sample313.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
2.0ms	106×	body	80	invalid

Details

analyze33.0ms

sample12.0ms

simplify53.0ms

prune9.0ms

localize5.0ms

rewrite8.0ms

series18.0ms

simplify61.0ms

prune27.0ms

localize9.0ms

rewrite17.0ms

series19.0ms

simplify51.0ms

prune60.0ms

localize27.0ms

rewrite20.0ms

series92.0ms

simplify50.0ms

prune63.0ms

localize15.0ms

rewrite12.0ms

series79.0ms

simplify47.0ms

prune68.0ms

regimes75.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample313.0ms

Profiling