Details

analyze60.0ms

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
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

sample12.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	69	7
1	69	7

prune6.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5592	356

prune20.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (+.f64 x y))
0.0b	(*.f64 x (+.f64 x y))
0.0b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

10.0ms	(*.f64 y (+.f64 x y))
7.0ms	(*.f64 x (+.f64 x y))
9.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 y (+.f64 x y))
5.0ms	(*.f64 x (+.f64 x y))
8.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4841	616
1	4841	616

prune28.0ms

Filtered

50 candidates to 75 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
1.2b	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
8×	`cbrt-prod_binary64`
7×	`unpow-prod-down_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64`
2×	`cbrt-div_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `add-cbrt-cube_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sqr-pow_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
7.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)

series73.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(cbrt.f64 (+.f64 x y))
43.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)

simplify29.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5117	289

prune20.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 2)
0.1b	(.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y)))
0.2b	(*.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))
29.9b	(/.f64 (.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))) (*.f64 (-.f64 x y) (-.f64 x y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
29×	`prod-exp_binary64`
20×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
19×	`flip3--_binary64` `flip--_binary64`
18×	`*-un-lft-identity_binary64`
14×	`associate-l_binary64`
13×	`cbrt-unprod_binary64`
12×	`frac-times_binary64`
10×	`add-cube-cbrt_binary64` `div-exp_binary64`
9×	`unpow-prod-down_binary64`
8×	`associate-/l/_binary64` `associate-/r/_binary64`
7×	`pow1_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate-*l/_binary64`
5×	`pow-to-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64` `sqr-pow_binary64`
2×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 131

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 x y) 2)
15.0ms	(.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y)))
11.0ms	(*.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))
24.0ms	(/.f64 (.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))) (*.f64 (-.f64 x y) (-.f64 x y)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow.f64 (+.f64 x y) 2)
13.0ms	(.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y)))
9.0ms	(*.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))
8.0ms	(/.f64 (.f64 (-.f64 x y) (.f64 (pow.f64 (+.f64 x y) 2) (-.f64 x y))) (*.f64 (-.f64 x y) (-.f64 x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4963	1585
1	4963	1585

prune53.0ms

Filtered

87 candidates to 143 candidates (-64.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Merged error: 0b

Counts

146 → 3

regimes71.0ms

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	10	11
1	10	11

end0.0ms

sample284.0ms

Algorithm

intervals

Results

143.0ms	8000×	body	80	valid
2.0ms	99×	body	80	invalid

Details

analyze60.0ms

sample12.0ms

simplify8.0ms

prune6.0ms

localize3.0ms

rewrite11.0ms

series4.0ms

simplify37.0ms

prune20.0ms

localize5.0ms

rewrite28.0ms

series18.0ms

simplify54.0ms

prune28.0ms

localize5.0ms

rewrite11.0ms

series73.0ms

simplify29.0ms

prune20.0ms

localize10.0ms

rewrite62.0ms

series34.0ms

simplify61.0ms

prune53.0ms

regimes71.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample284.0ms

Profiling