Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

285×

body

valid

simplify92.0ms

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

localize5.0ms

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:

5.0ms	(- (* (+ x 1.0) y) x)
6.0ms	(* (+ x 1.0) y)

series53.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- (* (+ x 1.0) y) x)
28.0ms	(* (+ x 1.0) y)

simplify76.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (22.0ms)

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

prune72.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series473.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
113.0ms	(cbrt (+ x 1.0))
116.0ms	(cbrt (+ x 1.0))
113.0ms	(cbrt (+ x 1.0))

simplify191.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	306	792
1	995	747
2	4414	669
3	5003	665

prune260.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
14.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
8.0ms	(* (sqrt (+ x 1.0)) y)
14.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series217.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ x 1.0))
34.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
105.0ms	(* (sqrt (+ x 1.0)) y)
41.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	358	619
1	1221	517
2	5001	503

prune181.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes50.0ms

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

sample392.0ms

Algorithm

intervals

Results

221.0ms	9115×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid