Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.882813%

Guaranteed chance to sample good point: 72.86961%

Results

8.0ms	256×	body	80	valid
6.0ms	78×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z y))
6.2b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series21.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x y) (* z y))
14.0ms	(* (- (* x y) (* z y)) t)

simplify103.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune68.0ms

Filtered

31 candidates to 40 candidates (-29.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
1.8b	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
1.8b	(* (* y (- x z)) (cbrt t))
3.1b	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod` `associate-*l/`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
8.0ms	(* (* y (- x z)) (cbrt t))
10.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

series121.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
16.0ms	(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
32.0ms	(* (* y (- x z)) (cbrt t))
51.0ms	(* (* (* y (- x z)) (cbrt t)) (cbrt t))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	436	757
1	1964	640
2	5001	567

prune109.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
9.5b	(cbrt (- (* x y) (* z y)))
9.5b	(cbrt (- (* x y) (* z y)))
9.5b	(cbrt (- (* x y) (* z y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-out--` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

19.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
5.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
33.0ms	(cbrt (- (* x y) (* z y)))
32.0ms	(cbrt (- (* x y) (* z y)))
32.0ms	(cbrt (- (* x y) (* z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	457	1436
1	1444	1260
2	5001	1134

prune131.0ms

Filtered

79 candidates to 101 candidates (-27.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b	(* (* t y) (- x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

9.0ms

(* (* t y) (- x z))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* (* t y) (- x z))

simplify97.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune20.0ms

Filtered

16 candidates to 29 candidates (-81.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	28	8	36

Merged error: 0.0b

Counts

36 → 8

regimes643.0ms

Accuracy

88.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	29
1	32	29

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.882813%

Guaranteed chance to sample good point: 72.86961%

Results

261.0ms	8000×	body	80	valid
73.0ms	2144×	body	80	invalid

Details

sample1.6s

simplify10.0ms

prune8.0ms

localize6.0ms

rewrite10.0ms

series21.0ms

simplify103.0ms

prune68.0ms

localize11.0ms

rewrite35.0ms

series121.0ms

simplify59.0ms

prune109.0ms

localize11.0ms

rewrite35.0ms

series111.0ms

simplify52.0ms

prune131.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify97.0ms

prune20.0ms

regimes643.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling