Details

analyze376.0ms

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	48×	body	80	invalid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5347	16

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: 11.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
11.6b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64`
4×	`associate-r_binary64` `associate-*r/_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 (.f64 z z) (+.f64 z 1))
10.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(.f64 (.f64 z z) (+.f64 z 1))
62.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4974	858
1	4974	858

prune41.0ms

Filtered

33 candidates to 57 candidates (-72.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 2.0b

Counts

58 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
4.3b	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
9.0b	(/.f64 x (*.f64 z z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 z 1))
13.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
4.0ms	(/.f64 x (*.f64 z z))

series86.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 y (+.f64 z 1))
43.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
20.0ms	(/.f64 x (*.f64 z z))

simplify107.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4942	1772
1	4942	1772

prune78.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0b

Counts

122 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
0.8b	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
2.6b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log_binary64`
58×	`add-cbrt-cube_binary64`
48×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
40×	`prod-exp_binary64`
34×	`add-cube-cbrt_binary64`
31×	`div-exp_binary64`
26×	`associate-l_binary64`
22×	`cbrt-unprod_binary64`
19×	`associate-r_binary64`
18×	`cbrt-undiv_binary64`
10×	`pow1_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-*r/_binary64` `frac-times_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 149

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 z 1))
14.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
13.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 y (+.f64 z 1))
37.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
43.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

simplify83.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5046	2588

prune91.0ms

Filtered

96 candidates to 158 candidates (-64.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	158	8	166

Merged error: 0b

Counts

166 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
0.8b	(/.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))) z)
2.6b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
35×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
29×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
14×	`cbrt-undiv_binary64` `div-exp_binary64`
13×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-/r*_binary64` `distribute-lft-out_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

3 → 118

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 z 1))
10.0ms	(/.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))) z)
15.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 y (+.f64 z 1))
44.0ms	(/.f64 (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))) z)
41.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

simplify94.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4976	2040
1	4976	2040

prune71.0ms

Filtered

89 candidates to 127 candidates (-42.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	127	8	135

Merged error: 0b

Counts

135 → 8

regimes74.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample516.0ms

Algorithm

intervals

Results

274.0ms	8000×	body	80	valid
47.0ms	1457×	body	80	invalid

Details

analyze376.0ms

sample18.0ms

simplify113.0ms

prune1.0ms

localize7.0ms

rewrite19.0ms

series94.0ms

simplify83.0ms

prune41.0ms

localize7.0ms

rewrite28.0ms

series86.0ms

simplify107.0ms

prune78.0ms

localize8.0ms

rewrite40.0ms

series107.0ms

simplify83.0ms

prune91.0ms

localize7.0ms

rewrite35.0ms

series107.0ms

simplify94.0ms

prune71.0ms

regimes74.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample516.0ms

Profiling