Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

348×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

prune1.0ms

Filtered

1 candidates to 0 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: 4.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
4.3b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

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×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 1.0 (* y y))
5.0ms	(* x (+ 1.0 (* y y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 1.0 (* y y))
53.0ms	(* x (+ 1.0 (* y y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	168	171
1	790	152
2	3413	149
3	5001	149

prune60.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 4.4b

Counts

40 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.2b	(sqrt (+ 1.0 (* y y)))
4.2b	(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (+ 1.0 (* y y))))
12.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (sqrt (+ 1.0 (* y y))))
50.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
44.0ms	(sqrt (+ 1.0 (* y y)))
41.0ms	(sqrt (+ 1.0 (* y y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	306	681
1	1316	604
2	5002	594

prune155.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 4.4b

Counts

100 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
9.6b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* x 1.0) (* x (* y y)))
29.0ms	(* x (* y y))

simplify77.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	167	162
1	633	137
2	2466	134
3	5001	134

prune48.0ms

Filtered

37 candidates to 22 candidates (59.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series92.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x 1.0) (* (* x y) y))
28.0ms	(* (* x y) y)

simplify130.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	174	161
1	815	137
2	4140	129
3	5001	128

prune47.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample354.0ms

Algorithm

intervals

Results

186.0ms

10554×

body

valid