Details

analyze674.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	1197	13
1	1197	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 3.9b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
4.4b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
23.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series154.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 2 (-.f64 y t))
52.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
78.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify113.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5007	4394

prune183.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	229	10	239

Merged error: 0.0b

Counts

239 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
4.1b	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 101

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
9.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

series139.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 2 (-.f64 y t))
38.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
75.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

simplify77.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5701	1404

prune87.0ms

Filtered

73 candidates to 110 candidates (-50.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x 2) (-.f64 y t))
4.1b	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 91

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
10.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

series111.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
74.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	1739
1	4960	1739

prune58.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x 2) (-.f64 y t))
4.2b	(.f64 (/.f64 (.f64 x 2) (-.f64 y t)) (/.f64 1 z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
26×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64`
17×	`prod-exp_binary64`
16×	`div-exp_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
11×	`associate-l_binary64`
9×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`1-exp_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `un-div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
15.0ms	(.f64 (/.f64 (.f64 x 2) (-.f64 y t)) (/.f64 1 z))

series104.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
72.0ms	(.f64 (/.f64 (.f64 x 2) (-.f64 y t)) (/.f64 1 z))

simplify84.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5415	1266

prune44.0ms

Filtered

54 candidates to 91 candidates (-68.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	92	6	98

Merged error: 0b

Counts

98 → 6

regimes106.0ms

Accuracy

59.9% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	49
1	37	49

end0.0ms

sample564.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
26.0ms	704×	body	80	invalid

Details

analyze674.0ms

sample20.0ms

simplify98.0ms

prune4.0ms

localize7.0ms

rewrite54.0ms

series154.0ms

simplify113.0ms

prune183.0ms

localize7.0ms

rewrite29.0ms

series139.0ms

simplify77.0ms

prune87.0ms

localize7.0ms

rewrite21.0ms

series111.0ms

simplify67.0ms

prune58.0ms

localize8.0ms

rewrite25.0ms

series104.0ms

simplify84.0ms

prune44.0ms

regimes106.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample564.0ms

Profiling