Details

analyze264.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify440.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

19.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5624	151

prune29.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
3.2b	(cbrt.f64 (*.f64 (+.f64 x y) z))
3.2b	(cbrt.f64 (*.f64 (+.f64 x y) z))
3.2b	(cbrt.f64 (*.f64 (+.f64 x y) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))

series147.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) z)) (cbrt.f64 (*.f64 (+.f64 x y) z)))
34.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
31.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
33.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5236	868

prune77.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 z)
3.2b	(cbrt.f64 (*.f64 (+.f64 x y) z))
3.2b	(cbrt.f64 (*.f64 (+.f64 x y) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
6×	`cbrt-div_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` `associate-*l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 z)
5.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))

series129.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt.f64 (+.f64 x y))
29.0ms	(cbrt.f64 z)
34.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))
31.0ms	(cbrt.f64 (*.f64 (+.f64 x y) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4908	452
1	4908	452

prune61.0ms

Filtered

52 candidates to 59 candidates (-13.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

3.1b	(-.f64 (.f64 x x) (.f64 y y))
11.4b	(.f64 z (-.f64 (.f64 x x) (*.f64 y y)))
17.4b	(/.f64 (.f64 z (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 y y))
7.0ms	(.f64 z (-.f64 (.f64 x x) (*.f64 y y)))
11.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

series37.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (.f64 x x) (.f64 y y))
13.0ms	(.f64 z (-.f64 (.f64 x x) (*.f64 y y)))
19.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5081	741

prune48.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	73	6	79

Merged error: 0b

Counts

79 → 6

regimes256.0ms

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	7	5
1	7	5

end0.0ms

sample331.0ms

Algorithm

intervals

Results

155.0ms	8000×	body	80	valid
11.0ms	639×	body	80	invalid

Details

analyze264.0ms

sample17.0ms

simplify440.0ms

prune4.0ms

localize6.0ms

rewrite21.0ms

series15.0ms

simplify46.0ms

prune29.0ms

localize8.0ms

rewrite28.0ms

series147.0ms

simplify49.0ms

prune77.0ms

localize12.0ms

rewrite16.0ms

series129.0ms

simplify42.0ms

prune61.0ms

localize8.0ms

rewrite24.0ms

series37.0ms

simplify50.0ms

prune48.0ms

regimes256.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample331.0ms

Profiling