Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

298×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
29.0ms	(* (+ x 1.0) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (20.0ms)

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

prune55.0ms

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: 0b

Counts

40 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
4.0ms	(cbrt (* (+ x 1.0) y))
5.0ms	(cbrt (* (+ x 1.0) y))
5.0ms	(cbrt (* (+ x 1.0) y))

series415.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
95.0ms	(cbrt (* (+ x 1.0) y))
99.0ms	(cbrt (* (+ x 1.0) y))
97.0ms	(cbrt (* (+ x 1.0) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	367	875
1	1215	815
2	5001	748

prune207.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
3.0ms	(sqrt (+ x 1.0))
7.0ms	(* (sqrt (+ x 1.0)) y)
12.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ x 1.0))
30.0ms	(sqrt (+ x 1.0))
87.0ms	(* (sqrt (+ x 1.0)) y)
30.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify123.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	315	573
1	1075	497
2	4758	483
3	5001	483

prune156.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes42.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample293.0ms

Algorithm

intervals

Results

157.0ms	9134×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	320	valid