Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

303×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(- (* (+ x 1.0) y) x)
7.0ms	(* (+ x 1.0) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (* (+ x 1.0) y) x)
35.0ms	(* (+ x 1.0) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune62.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x 1.0) y)
5.0ms	(sqrt (* (+ x 1.0) y))
5.0ms	(sqrt (* (+ x 1.0) y))
14.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ x 1.0) y)
98.0ms	(sqrt (* (+ x 1.0) y))
100.0ms	(sqrt (* (+ x 1.0) y))
72.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	264	514
1	1224	461
2	5002	443

prune197.0ms

Filtered

116 candidates to 71 candidates (61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0.0b

Counts

119 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x 1.0) (sqrt y))
0.2b	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

8.0ms	(* (+ x 1.0) (sqrt y))
10.0ms	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (+ x 1.0) (sqrt y))
39.0ms	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

simplify44.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	233	289
1	1039	242
2	5001	234

prune91.0ms

Filtered

54 candidates to 34 candidates (63.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample314.0ms

Algorithm

intervals

Results

168.0ms	9123×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid