Details

analyze437.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	70×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune4.0ms

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: 19.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
0.4b	(+ (+ (* x y) (* x z)) (* y z))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	256	358
1	972	331
2	3980	326
3	5002	326

prune79.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 19.5b

Counts

50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (+ (* x y) (* x z)) (* y z))
0.5b	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
50×	`add-sqr-sqrt`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `add-log-exp` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times`
3×	`sum-log`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
18.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	306	1439
1	1302	1332
2	5002	1304

prune128.0ms

Filtered

74 candidates to 138 candidates (-86.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	137	7	144

Merged error: 19.5b

Counts

144 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (* (fabs (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (cbrt (+ (+ (* x y) (* x z)) (* y z)))))))
18.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-div`
18×	`add-sqr-sqrt`
16×	`sqrt-prod`
12×	`pow1`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`flip3-+` `associate-l` `flip-+`
8×	`associate-*r/`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
5×	`sqrt-pow1` `pow-prod-down`
4×	`frac-times` `associate-r` `add-log-exp`
3×	`pow1/2` `unswap-sqr`
2×	`pow1/3` `associate-*l/`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 80

Calls

4 calls:

18.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (* (fabs (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (cbrt (+ (+ (* x y) (* x z)) (* y z)))))))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (* (fabs (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (cbrt (+ (+ (* x y) (* x z)) (* y z)))))))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	486	1916
1	1562	1820
2	5001	1794

prune172.0ms

Filtered

79 candidates to 92 candidates (-16.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	91	8	99

Merged error: 19.5b

Counts

99 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	152	724
1	489	672
2	1854	652
3	5001	628

prune116.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Merged error: 19.5b

Counts

72 → 8

regimes415.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

analyze437.0ms

Algorithm: search

sample646.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
94.0ms	2304×	body	80	nan

Details

analyze437.0ms

sample23.0ms

simplify8.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series44.0ms

simplify119.0ms

prune79.0ms

localize12.0ms

rewrite38.0ms

series102.0ms

simplify61.0ms

prune128.0ms

localize19.0ms

rewrite37.0ms

series253.0ms

simplify56.0ms

prune172.0ms

localize26.0ms

rewrite22.0ms

series222.0ms

simplify65.0ms

prune116.0ms

regimes415.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze437.0ms

sample646.0ms

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