Details

analyze398.0ms

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	47×	body	80	invalid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

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: 15.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
15.3b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite20.0ms

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)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(.f64 (.f64 z z) (+.f64 z 1))
64.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

simplify86.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4974	858
1	4974	858

prune42.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

5.8b	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
8.9b	(/.f64 x (*.f64 z z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
21.0ms	(/.f64 x (*.f64 z z))

simplify81.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	1295
1	4972	1295

prune58.0ms

Filtered

52 candidates to 80 candidates (-53.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	77	9	86

Merged error: 0.0b

Counts

86 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log_binary64`
57×	`add-cbrt-cube_binary64`
32×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`associate-l_binary64`
5×	`associate-*r/_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `times-frac_binary64` `associate-*l/_binary64`
1×	`associate-r_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
17.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

series324.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
68.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

simplify100.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5057	1307

prune56.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
3.1b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-exp-log_binary64`
55×	`add-cbrt-cube_binary64`
40×	`prod-exp_binary64`
36×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64` `div-exp_binary64`
26×	`associate-l_binary64`
24×	`add-cube-cbrt_binary64`
22×	`cbrt-unprod_binary64`
19×	`associate-r_binary64`
17×	`cbrt-undiv_binary64`
9×	`pow1_binary64`
6×	`associate-*r/_binary64` `frac-times_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
3×	`distribute-lft-out_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

2 → 116

Calls

2 calls:

15.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
13.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
49.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5006	2111

prune68.0ms

Filtered

69 candidates to 122 candidates (-76.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	122	10	132

Merged error: 0.0b

Counts

132 → 10

regimes80.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	28
1	18	28

end0.0ms

sample533.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
49.0ms	1434×	body	80	invalid

Details

analyze398.0ms

sample18.0ms

simplify119.0ms

prune1.0ms

localize7.0ms

rewrite20.0ms

series98.0ms

simplify86.0ms

prune42.0ms

localize8.0ms

rewrite21.0ms

series77.0ms

simplify81.0ms

prune58.0ms

localize12.0ms

rewrite27.0ms

series324.0ms

simplify100.0ms

prune56.0ms

localize9.0ms

rewrite35.0ms

series96.0ms

simplify81.0ms

prune68.0ms

regimes80.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample533.0ms

Profiling