Details

analyze282.0ms

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms	255×	body	128	valid
0.0ms	17×	body	128	invalid
0.0ms	1×	body	512	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	103	10
1	103	10

prune1.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify65.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5052	502

prune30.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-*l/_binary64`
3×	`sum-log_binary64`
1×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

1 → 17

Calls

1 calls:

11.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5214	445

prune18.0ms

Filtered

17 candidates to 20 candidates (-17.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

1.6b	(.f64 (+.f64 x y) (-.f64 (.f64 z z) 1))
8.8b	(/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 z z) 1)) (-.f64 z 1))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l/_binary64` `frac-times_binary64`
7×	`associate-/r*_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64`
6×	`flip3-+_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64` `flip-+_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-l/_binary64`
3×	`difference-of-sqr-1_binary64`
2×	`add-log-exp_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` `distribute-lft-out_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

2 → 71

Calls

2 calls:

12.0ms	(.f64 (+.f64 x y) (-.f64 (.f64 z z) 1))
15.0ms	(/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 z z) 1)) (-.f64 z 1))

series264.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(.f64 (+.f64 x y) (-.f64 (.f64 z z) 1))
164.0ms	(/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 z z) 1)) (-.f64 z 1))

simplify57.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4998	1374
1	4998	1374

prune54.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Merged error: 0b

Counts

80 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div_binary64`
33×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
16×	`associate-*r/_binary64`
13×	`*-un-lft-identity_binary64`
11×	`associate-l_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`associate-r_binary64`
7×	`add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`distribute-lft-out_binary64`
2×	`add-log-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 80

Calls

2 calls:

11.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
19.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

series167.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(*.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y)))
71.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (+.f64 z 1) (sqrt.f64 (+.f64 x y))))

simplify87.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	1996
1	4945	1996

prune60.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes46.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	10	13

end0.0ms

sample357.0ms

Algorithm

intervals

Results

174.0ms	7995×	body	128	valid
13.0ms	601×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Details

analyze282.0ms

sample15.0ms

simplify10.0ms

prune1.0ms

localize5.0ms

rewrite13.0ms

series52.0ms

simplify65.0ms

prune30.0ms

localize5.0ms

rewrite13.0ms

series60.0ms

simplify55.0ms

prune18.0ms

localize9.0ms

rewrite34.0ms

series264.0ms

simplify57.0ms

prune54.0ms

localize7.0ms

rewrite41.0ms

series167.0ms

simplify87.0ms

prune60.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample357.0ms

Profiling