Details

analyze99.0ms

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

sample17.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x y) (-.f64 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5044	220

prune37.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
0.2b	(cbrt.f64 (-.f64 1.0 y))
0.2b	(cbrt.f64 (-.f64 1.0 y))
0.2b	(cbrt.f64 (-.f64 1.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
3.0ms	(cbrt.f64 (-.f64 1.0 y))
4.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (-.f64 1.0 y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 y)) (cbrt.f64 (-.f64 1.0 y)))
7.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (-.f64 1.0 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5024	1193

prune140.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 y))
5.2b	(.f64 x (.f64 y (-.f64 1.0 y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 1.0 y))
10.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 1.0 y))
9.0ms	(.f64 x (.f64 y (-.f64 1.0 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4933	399
1	4933	399

prune49.0ms

Filtered

30 candidates to 54 candidates (-80.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	54	8	62

Merged error: 0b

Counts

62 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1.0 y))
0.2b	(cbrt.f64 (-.f64 1.0 y))
0.2b	(cbrt.f64 (+.f64 1.0 y))
5.4b	(cbrt.f64 (-.f64 (.f64 1.0 1.0) (.f64 y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (-.f64 1.0 y))
3.0ms	(cbrt.f64 (+.f64 1.0 y))
4.0ms	(cbrt.f64 (-.f64 (.f64 1.0 1.0) (.f64 y y)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (-.f64 1.0 y))
7.0ms	(cbrt.f64 (+.f64 1.0 y))
14.0ms	(cbrt.f64 (-.f64 (.f64 1.0 1.0) (.f64 y y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4974	787
1	4974	787

prune97.0ms

Filtered

63 candidates to 70 candidates (-11.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	70	8	78

Merged error: 0b

Counts

78 → 8

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample301.0ms

Algorithm

intervals

Results

177.0ms	8000×	body	80	valid
4.0ms	186×	body	80	invalid

Details

analyze99.0ms

sample17.0ms

simplify20.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series9.0ms

simplify43.0ms

prune37.0ms

localize8.0ms

rewrite24.0ms

series30.0ms

simplify59.0ms

prune140.0ms

localize5.0ms

rewrite19.0ms

series15.0ms

simplify49.0ms

prune49.0ms

localize15.0ms

rewrite15.0ms

series38.0ms

simplify37.0ms

prune97.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample301.0ms

Profiling