Details

analyze379.0ms

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

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5021	11

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: 14.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1.0))
13.6b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))

rewrite21.0ms

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 1.0))
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 (.f64 z z) (+.f64 z 1.0))
19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))

simplify29.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5052	618

prune70.0ms

Filtered

33 candidates to 57 candidates (-72.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 2.0b

Counts

58 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1.0))
6.3b	(.f64 y (/.f64 x (.f64 z z)))
8.0b	(/.f64 x (*.f64 z z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

10.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1.0))
8.0ms	(.f64 y (/.f64 x (.f64 z z)))
5.0ms	(/.f64 x (*.f64 z z))

series36.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1.0))
11.0ms	(.f64 y (/.f64 x (.f64 z z)))
6.0ms	(/.f64 x (*.f64 z z))

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4946	837
1	4946	837

prune88.0ms

Filtered

57 candidates to 88 candidates (-54.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.0b

Counts

95 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
3×	`associate-r_binary64` `pow1/3_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
10.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

series128.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
74.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5172	418

prune83.0ms

Filtered

60 candidates to 73 candidates (-21.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0.0b

Counts

81 → 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)
0.7b	(.f64 (/.f64 (cbrt.f64 x) 1) (.f64 y (/.f64 (cbrt.f64 x) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
15.0ms	(.f64 (/.f64 (cbrt.f64 x) 1) (.f64 y (/.f64 (cbrt.f64 x) z)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
38.0ms	(.f64 (/.f64 (cbrt.f64 x) 1) (.f64 y (/.f64 (cbrt.f64 x) z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4918	626
1	4918	626

prune80.0ms

Filtered

72 candidates to 96 candidates (-33.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

regimes251.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	18
1	18	18

end0.0ms

sample531.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
50.0ms	1530×	body	80	invalid

Details

analyze379.0ms

sample20.0ms

simplify69.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series27.0ms

simplify29.0ms

prune70.0ms

localize8.0ms

rewrite26.0ms

series36.0ms

simplify67.0ms

prune88.0ms

localize11.0ms

rewrite19.0ms

series128.0ms

simplify68.0ms

prune83.0ms

localize12.0ms

rewrite21.0ms

series94.0ms

simplify72.0ms

prune80.0ms

regimes251.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample531.0ms

Profiling