Details

analyze236.0ms

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

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: 6.4b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
20×	`difference-of-squares_binary64`
15×	`add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	1444
1	4914	1444

prune49.0ms

Filtered

37 candidates to 63 candidates (-70.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Merged error: 4.5b

Counts

64 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.2b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt_binary64`
64×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64`
30×	`associate-r_binary64`
28×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
12×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`distribute-lft-out--_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64`
3×	`unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 109

Calls

2 calls:

10.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
21.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

series147.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
98.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

simplify67.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5504	1922

prune81.0ms

Filtered

70 candidates to 115 candidates (-64.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	115	7	122

Merged error: 4.5b

Counts

122 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
6.4b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac_binary64`
275×	`add-sqr-sqrt_binary64`
273×	`*-un-lft-identity_binary64`
107×	`add-cube-cbrt_binary64`
84×	`difference-of-squares_binary64`
42×	`associate-/r*_binary64`
41×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
12×	`add-exp-log_binary64`
11×	`associate-/r/_binary64` `associate-/l*_binary64`
9×	`add-cbrt-cube_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 235

Calls

2 calls:

19.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
13.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series237.0ms

Counts

2 → 6

Calls

2 calls:

165.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
72.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify113.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5243	6423

prune130.0ms

Filtered

118 candidates to 241 candidates (-104.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	238	3	241
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	239	9	248

Merged error: 4.5b

Counts

248 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 y x))
0.2b	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.5b	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
33×	`add-exp-log_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
10×	`associate-/r/_binary64`
9×	`pow1_binary64` `prod-exp_binary64`
8×	`associate-l_binary64` `rec-exp_binary64` `div-exp_binary64`
7×	`distribute-lft-out_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`flip3--_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64` `div-inv_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip-+_binary64`
1×	`distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 122

Calls

3 calls:

6.0ms	(/.f64 1 (+.f64 y x))
19.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
19.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/.f64 1 (+.f64 y x))
171.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
65.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5121	1776

prune68.0ms

Filtered

76 candidates to 131 candidates (-72.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	131	9	140

Merged error: 4.5b

Counts

140 → 9

regimes103.0ms

Accuracy

58.2% (0.7b remaining)

Error of 6.5b against oracle of 5.7b and baseline of 7.5b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	96
1	65	96

end0.0ms

sample405.0ms

Algorithm

intervals

Results

238.0ms	7999×	body	128	valid
0.0ms	1×	body	2048	valid

Details

analyze236.0ms

sample14.0ms

simplify172.0ms

prune1.0ms

localize7.0ms

rewrite19.0ms

series105.0ms

simplify86.0ms

prune49.0ms

localize7.0ms

rewrite43.0ms

series147.0ms

simplify67.0ms

prune81.0ms

localize8.0ms

rewrite64.0ms

series237.0ms

simplify113.0ms

prune130.0ms

localize9.0ms

rewrite55.0ms

series274.0ms

simplify70.0ms

prune68.0ms

regimes103.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample405.0ms

Profiling