Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

289×

body

valid

simplify91.0ms

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 1 expressions with local error:

0.0b	(* (+ x 1.0) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x 1.0) y)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (+ x 1.0) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	107	84
1	447	74
2	2096	74
3	5001	74

prune35.0ms

Filtered

24 candidates to 18 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite22.0ms

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:

10.0ms	(* (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))

series358.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
87.0ms	(cbrt (+ x 1.0))
84.0ms	(cbrt (+ x 1.0))
86.0ms	(cbrt (+ x 1.0))

simplify151.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (141.0ms)

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

prune217.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))
0.2b	(cbrt (- x 1.0))
10.6b	(cbrt (- (* x x) (* 1.0 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

89×	`cbrt-prod`
61×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
56×	`times-frac`
41×	`add-cube-cbrt`
19×	`difference-of-squares`
10×	`cbrt-div`
9×	`distribute-lft-out--`
8×	`associate-/r*`
7×	`associate-/l*`
6×	`add-exp-log`
4×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 130

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
10.0ms	(/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))
5.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ x 1.0))
121.0ms	(/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))
95.0ms	(cbrt (- x 1.0))
180.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	593	1621
1	2048	1580
2	5002	1563

prune444.0ms

Filtered

142 candidates to 122 candidates (85.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

regimes46.0ms

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

sample294.0ms

Algorithm

intervals

Results

161.0ms	9134×	body	80	valid
0.0ms	1×	body	640	valid