Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
7.0ms	220×	body	80	nan

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 20.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
19.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
52×	`distribute-lft-out`
45×	`associate-l`
24×	`fma-def`
20×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`associate-r`
5×	`*-commutative`
4×	`pow1` `sum-log`
3×	`add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+` `distribute-rgt-out` `sqrt-div` `hypot-def` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

3 → 101

Calls

3 calls:

19.0ms	(+ (* x y) (* x z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* x y) (* x z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
133.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify177.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (167.0ms)

Iter	Nodes	Cost
0	282	511
1	976	462
2	4137	454
3	5001	453

prune215.0ms

Filtered

110 candidates to 69 candidates (37.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	8	111

Merged error: 18.7b

Counts

111 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z))
1.8b	(+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z))
19.6b	(sqrt (+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-prod` `fma-def`
2×	`flip3-+` `sqrt-div` `associate-l` `flip-+` `fma-udef` `hypot-def`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `pow1/3` `sum-log` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z))
7.0ms	(+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z))
8.0ms	(sqrt (+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt y)
177.0ms	(fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z))
91.0ms	(+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z))
229.0ms	(sqrt (+ (fma (* x (* (cbrt y) (cbrt y))) (cbrt y) (* x z)) (* y z)))

simplify139.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	227	654
1	670	601
2	2548	562
3	5002	543

prune490.0ms

Filtered

75 candidates to 62 candidates (17.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	74	9	83

Merged error: 18.4b

Counts

83 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (+ (* x y) (* x z)) (* y z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
19.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
88×	`distribute-lft-out`
68×	`associate-l`
26×	`sqrt-prod`
24×	`add-sqr-sqrt` `fma-def`
14×	`add-log-exp`
12×	`add-cube-cbrt`
6×	`pow1` `sum-log`
4×	`add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `sqrt-div` `associate-r` `*-commutative` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u`
2×	`rem-sqrt-square` `distribute-rgt-out` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

26.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
132.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
130.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify148.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	198	842
1	692	754
2	3121	740
3	5001	738

prune323.0ms

Filtered

146 candidates to 82 candidates (43.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	146	9	155

Merged error: 18.4b

Counts

155 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (+ (* x y) (* x z)) (* y z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
20.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.2b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
88×	`distribute-lft-out`
68×	`associate-l`
26×	`cbrt-prod`
24×	`fma-def`
14×	`add-log-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`sum-log`
4×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `cbrt-div` `flip3-+` `associate-r` `*-commutative` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`distribute-rgt-out` `pow1/3`

Counts

4 → 126

Calls

4 calls:

26.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
28.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
25.0ms	(+ (+ (* x y) (* x z)) (* y z))
254.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
247.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify135.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	206	860
1	642	784
2	2804	756
3	5001	754

prune296.0ms

Filtered

138 candidates to 80 candidates (42.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	138	9	147

Merged error: 18.4b

Counts

147 → 9

regimes350.0ms

Accuracy

66.6% (0.6b remaining)

Error of 18.9b against oracle of 18.3b and baseline of 20.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	21
1	28	21

end0.0ms

sample846.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
253.0ms	8167×	body	80	nan