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

12.0ms	256×	body	80	valid
3.0ms	71×	body	80	nan

simplify9.0ms

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: 17.3b

Counts

2 → 1

localize10.0ms

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)))

rewrite18.0ms

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:

8.0ms	(+ (+ (* x y) (* x z)) (* y z))
4.0ms	(+ (* x y) (* x z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify124.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

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

prune92.0ms

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

localize9.0ms

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)))

rewrite19.0ms

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:

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

series45.0ms

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)))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

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

prune100.0ms

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

localize13.0ms

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)))

rewrite56.0ms

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)))
19.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
21.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (+ y z))
37.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
14.0ms	(+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z))
36.0ms	(sqrt (+ (* (* x (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) (* y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

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

prune174.0ms

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

localize21.0ms

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)))

rewrite115.0ms

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:

10.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
8.0ms	(cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))
48.0ms	(+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z))
45.0ms	(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:

41.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
48.0ms	(cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))
16.0ms	(+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z))
36.0ms	(sqrt (+ (* (* x (* (* (cbrt (+ y z)) (cbrt (* (cbrt (+ y z)) (cbrt (+ y z))))) (cbrt (cbrt (+ y z))))) (cbrt (+ y z))) (* y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	486	1515
1	1698	1416
2	5001	1367

prune146.0ms

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

regimes301.0ms

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

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 38.955688%

Guaranteed chance to sample good point: 57.921312%

Results

458.0ms	8000×	body	80	valid
100.0ms	1811×	body	80	nan

Details

sample1.9s

simplify9.0ms

prune4.0ms

localize10.0ms

rewrite18.0ms

series45.0ms

simplify124.0ms

prune92.0ms

localize9.0ms

rewrite19.0ms

series45.0ms

simplify45.0ms

prune100.0ms

localize13.0ms

rewrite56.0ms

series117.0ms

simplify59.0ms

prune174.0ms

localize21.0ms

rewrite115.0ms

series141.0ms

simplify67.0ms

prune146.0ms

regimes301.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling