Details

analyze116.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y (+ (* x 2.0) y)))
0.0b	(* y (+ (* x 2.0) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))
6.0ms	(* y (+ (* x 2.0) y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) (* y (+ (* x 2.0) y)))
6.0ms	(* y (+ (* x 2.0) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5035	439

prune53.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series95.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
25.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune77.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ y (* x 2.0))) (* x x))
0.0b	(* y (+ y (* x 2.0)))
5.0b	(exp (log (+ (* y (+ y (* x 2.0))) (* x x))))
7.1b	(log (+ (* y (+ y (* x 2.0))) (* x x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(+ (* y (+ y (* x 2.0))) (* x x))
5.0ms	(* y (+ y (* x 2.0)))
6.0ms	(exp (log (+ (* y (+ y (* x 2.0))) (* x x))))
5.0ms	(log (+ (* y (+ y (* x 2.0))) (* x x)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* y (+ y (* x 2.0))) (* x x))
6.0ms	(* y (+ y (* x 2.0)))
6.0ms	(exp (log (+ (* y (+ y (* x 2.0))) (* x x))))
15.0ms	(log (+ (* y (+ y (* x 2.0))) (* x x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4989	997
1	4989	997

prune99.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample417.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
6.0ms	185×	body	80	invalid

Details

analyze116.0ms

sample16.0ms

simplify3.0ms

prune12.0ms

localize7.0ms

rewrite11.0ms

series12.0ms

simplify50.0ms

prune53.0ms

localize10.0ms

rewrite10.0ms

series95.0ms

simplify45.0ms

prune77.0ms

localize11.0ms

rewrite24.0ms

series33.0ms

simplify57.0ms

prune99.0ms

regimes75.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample417.0ms

Profiling