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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune13.0ms

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 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756`
3×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `associate-r_binary64_3843`
2×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
1×	`-commutative_binary64_3852` `add-log-exp_binary64_3749` `associate-l*_binary64_3844`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify119.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5884	177

prune84.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

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

localize22.0ms

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))))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64_3730`
10×	`add-sqr-sqrt_binary64_3769`
9×	`pow1/3_binary64_3722`
8×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
7×	`cbrt-prod_binary64_3751`
6×	`add-exp-log_binary64_3748`
4×	`add-log-exp_binary64_3749` `associate-l_binary64_3844` `add-cbrt-cube_binary64_3756` `associate-r_binary64_3843` `swap-sqr_binary64_3811`
2×	`pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `unswap-sqr_binary64_3812` `pow2_binary64_3721`

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)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 y x))) (cbrt.f64 (.f64 y (*.f64 y x))))
78.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
88.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
84.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5539	800

prune247.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
7.8b	(cbrt.f64 (*.f64 y x))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_3751`
5×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
4×	`add-exp-log_binary64_3748` `add-log-exp_binary64_3749` `pow1_binary64_3730` `pow1/3_binary64_3722` `add-cbrt-cube_binary64_3756`

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

series329.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 y)
64.0ms	(cbrt.f64 (*.f64 y x))
86.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
90.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5271	429

prune201.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	49	10	59

Merged error: 0.0b

Counts

59 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
7.8b	(cbrt.f64 (*.f64 y x))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))
17.7b	(cbrt.f64 (.f64 y (.f64 y x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_3751`
5×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
4×	`add-exp-log_binary64_3748` `add-log-exp_binary64_3749` `pow1_binary64_3730` `pow1/3_binary64_3722` `add-cbrt-cube_binary64_3756`

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

series318.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 y)
64.0ms	(cbrt.f64 (*.f64 y x))
82.0ms	(cbrt.f64 (.f64 y (.f64 y x)))
87.0ms	(cbrt.f64 (.f64 y (.f64 y x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5271	429

prune154.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	50	10	60

Merged error: 0.0b

Counts

60 → 10

regimes324.0ms

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	7	7
1	7	7

end0.0ms

sample350.0ms

Algorithm

intervals

Results

171.0ms	8000×	body	80	valid
4.0ms	192×	body	80	invalid

Details

analyze54.0ms

sample22.0ms

simplify12.0ms

prune13.0ms

localize5.0ms

rewrite6.0ms

series28.0ms

simplify119.0ms

prune84.0ms

localize22.0ms

rewrite19.0ms

series358.0ms

simplify78.0ms

prune247.0ms

localize17.0ms

rewrite12.0ms

series329.0ms

simplify78.0ms

prune201.0ms

localize20.0ms

rewrite12.0ms

series318.0ms

simplify77.0ms

prune154.0ms

regimes324.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample350.0ms

Profiling