Details

analyze330.0ms

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	245×	body	80	valid
1.0ms	20×	body	80	invalid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

simplify59.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4959	352
1	4959	352

prune46.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))
6.0ms	(*.f64 z (+.f64 x 5))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))
8.0ms	(*.f64 z (+.f64 x 5))

simplify61.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4946	352
1	4946	352

prune50.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

series66.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)
18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune81.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
2.9b	(.f64 z (-.f64 (.f64 x x) 25))
6.4b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`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×	`associate-r_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_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` `flip3-+_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` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

10.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
8.0ms	(.f64 z (-.f64 (.f64 x x) 25))
12.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

series42.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
11.0ms	(.f64 z (-.f64 (.f64 x x) 25))
15.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5733	847

prune63.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes210.0ms

Accuracy

0% (0.0b 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	12	9
1	12	9

end0.0ms

sample434.0ms

Algorithm

intervals

Results

206.0ms	7665×	body	80	valid
19.0ms	626×	body	80	invalid
14.0ms	116×	body	1280	valid
12.0ms	123×	body	640	valid
4.0ms	62×	body	320	valid
2.0ms	34×	body	160	valid

Details

analyze330.0ms

sample17.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series15.0ms

simplify59.0ms

prune46.0ms

localize7.0ms

rewrite12.0ms

series16.0ms

simplify61.0ms

prune50.0ms

localize10.0ms

rewrite12.0ms

series66.0ms

simplify49.0ms

prune81.0ms

localize10.0ms

rewrite33.0ms

series42.0ms

simplify44.0ms

prune63.0ms

regimes210.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample434.0ms

Profiling