Details

analyze105.0ms

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

7.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms

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)

rewrite5.0ms

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)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5058	177

prune17.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.1b

Counts

22 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite30.0ms

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:

10.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
6.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
6.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
6.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
75.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
74.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
93.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4899	738
1	4899	738

prune47.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
7.8b	(cbrt.f64 (*.f64 y x))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite11.0ms

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)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
58.0ms	(cbrt.f64 (*.f64 y x))
74.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
79.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5411	433

prune40.0ms

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:

0.7b	(cbrt.f64 y)
7.8b	(cbrt.f64 (*.f64 y x))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))
20.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite11.0ms

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)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 y)
64.0ms	(cbrt.f64 (*.f64 y x))
77.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
77.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5411	433

prune31.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample260.0ms

Algorithm

intervals

Results

138.0ms	8000×	body	80	valid
6.0ms	171×	body	80	invalid

Details

analyze105.0ms

sample15.0ms

simplify12.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series33.0ms

simplify76.0ms

prune17.0ms

localize12.0ms

rewrite30.0ms

series358.0ms

simplify77.0ms

prune47.0ms

localize12.0ms

rewrite11.0ms

series291.0ms

simplify82.0ms

prune40.0ms

localize12.0ms

rewrite11.0ms

series302.0ms

simplify83.0ms

prune31.0ms

regimes51.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample260.0ms

Profiling