Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	243×	body	80	nan
8.0ms	257×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 47

Calls

2 calls:

10.0ms	(- (* x (log y)) z)
7.0ms	(* x (log y))

series105.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* x (log y)) z)
46.0ms	(* x (log y))

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	181	246
1	528	228
2	1476	213
3	5001	213

prune107.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
43×	`associate-r`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod` `add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`pow1`
13×	`distribute-rgt-out` `associate-l`
12×	`associate-+r+` `log-pow`
11×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1/3`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
31.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
3.0ms	(cbrt y)
1.0ms	(cbrt y)

series555.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify66.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	404	823
1	1957	687
2	5002	630

prune386.0ms

Filtered

137 candidates to 99 candidates (72.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	138	5	143

Merged error: 0b

Counts

143 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow (/ 1 y) -1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

92×	`log-prod`
70×	`*-un-lft-identity`
65×	`unpow-prod-down`
60×	`add-sqr-sqrt`
58×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
45×	`times-frac`
34×	`associate-+r+`
25×	`associate-r`
24×	`associate-+l+`
15×	`cbrt-prod`
14×	`pow1` `log-pow`
13×	`associate-l`
11×	`add-exp-log` `distribute-lft-out`
8×	`pow-pow`
6×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`pow-exp`
3×	`distribute-rgt-out` `pow-flip` `pow1/3` `*-commutative` `inv-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 186

Calls

4 calls:

14.0ms	(* x (log (pow (/ 1 y) -1/3)))
43.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
1.0ms	(cbrt y)
6.0ms	(pow (/ 1 y) -1/3)

series608.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (log (pow (/ 1 y) -1/3)))
185.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
172.0ms	(cbrt y)
170.0ms	(pow (/ 1 y) -1/3)

simplify131.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	719	1498
1	3323	1314
2	5001	1166

prune571.0ms

Filtered

198 candidates to 128 candidates (64.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	198	5	203

Merged error: 0b

Counts

203 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
100×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
81×	`times-frac`
68×	`associate-+l+`
45×	`associate-r`
17×	`pow1`
16×	`associate-l`
14×	`add-exp-log` `log-pow`
12×	`associate-+r+`
11×	`distribute-lft-out`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
8×	`pow-pow`
6×	`pow-unpow` `add-log-exp`
4×	`pow-exp` `*-commutative` `unswap-sqr`
3×	`distribute-rgt-out` `pow-flip` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `inv-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `flip3-+` `1-exp` `sum-log` `flip-+`

Counts

4 → 255

Calls

4 calls:

19.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
48.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
6.0ms	(pow (/ 1 y) -1/3)

series628.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
184.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
185.0ms	(cbrt y)
173.0ms	(pow (/ 1 y) -1/3)

simplify55.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1090	2281
1	5001	2049

prune747.0ms

Filtered

267 candidates to 166 candidates (62.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	266	1	267
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	268	4	272

Merged error: 0b

Counts

272 → 4

regimes99.0ms

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	23	11
1	23	11

end0.0ms

sample756.0ms

Algorithm

intervals

Results

237.0ms	8030×	body	80	valid
183.0ms	7988×	body	80	nan
0.0ms	1×	body	1280	valid