Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 38.955688%

Guaranteed chance to sample good point: 57.921312%

Results

11.0ms	256×	body	80	valid
3.0ms	71×	body	80	nan

simplify7.0ms

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

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: 17.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (* x y) (* x z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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:

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

series47.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (* x y) (* x z))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (27.0ms)

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

prune83.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 17.2b

Counts

50 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.2b	(+ (* x (+ y z)) (* y z))
16.4b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

7.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* x (+ y z))
7.0ms	(+ (* x (+ y z)) (* y z))
32.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	281	332
1	1182	313
2	5001	312

prune93.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	57	9	66

Merged error: 17.2b

Counts

66 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y z))
0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
1.2b	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
16.4b	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`cbrt-prod`
23×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `cbrt-div`
12×	`pow1`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-log-exp`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

3.0ms	(cbrt (+ y z))
10.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
17.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
17.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ y z))
40.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
12.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
37.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	455	1056
1	1622	960
2	5001	898

prune168.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	101	13	114

Merged error: 17.0b

Counts

114 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.5b	(cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))
1.2b	(+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z))
16.4b	(sqrt (+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
27×	`*-un-lft-identity`
25×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`flip3-+` `flip-+`
13×	`add-cube-cbrt`
12×	`pow1`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-lft-out` `add-log-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 96

Calls

4 calls:

13.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
9.0ms	(cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))
44.0ms	(+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z))
47.0ms	(sqrt (+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
52.0ms	(cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))
12.0ms	(+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z))
39.0ms	(sqrt (+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	486	1514
1	1704	1416
2	5001	1367

prune157.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	108	13	121

Merged error: 17.0b

Counts

121 → 13

regimes485.0ms

Accuracy

0% (0.3b remaining)

Error of 19.7b against oracle of 19.4b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 38.955688%

Guaranteed chance to sample good point: 57.921312%

Results

367.0ms	8000×	body	80	valid
81.0ms	1811×	body	80	nan

Details

sample1.9s

simplify7.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series47.0ms

simplify116.0ms

prune83.0ms

localize8.0ms

rewrite20.0ms

series44.0ms

simplify38.0ms

prune93.0ms

localize12.0ms

rewrite52.0ms

series118.0ms

simplify57.0ms

prune168.0ms

localize18.0ms

rewrite117.0ms

series141.0ms

simplify62.0ms

prune157.0ms

regimes485.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling