Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	258×	body	80	valid
5.0ms	226×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* x (log y)) z)
35.0ms	(* x (log y))

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	221	261
1	761	224
2	2785	207
3	5001	203

prune105.0ms

Filtered

57 candidates to 38 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series678.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt y) (cbrt y))
163.0ms	(cbrt y)
160.0ms	(cbrt y)
166.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune230.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (pow y 2/3)))
0.6b	(cbrt y)
6.1b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
10×	`pow1`
9×	`add-exp-log` `unpow-prod-down`
8×	`associate-l` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow` `sqr-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 89

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
5.0ms	(* x (log (pow y 2/3)))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series538.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (log (cbrt y)) x)
75.0ms	(* x (log (pow y 2/3)))
191.0ms	(cbrt y)
163.0ms	(pow y 2/3)

simplify156.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	282	429
1	1130	366
2	4923	346
3	5001	346

prune229.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(* (* x 2/3) (log y))
0.4b	(* x 2/3)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
9×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative`
2×	`pow1/3` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
5.0ms	(* (* x 2/3) (log y))
3.0ms	(* x 2/3)
1.0ms	(cbrt y)

series337.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (log (cbrt y)) x)
40.0ms	(* (* x 2/3) (log y))
17.0ms	(* x 2/3)
168.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	284	363
1	1339	314
2	5001	306

prune195.0ms

Filtered

94 candidates to 68 candidates (72.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0b

Counts

101 → 7

regimes116.0ms

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	8	4
1	8	4

end0.0ms

sample710.0ms

Algorithm

intervals

Results

232.0ms	8028×	body	80	valid
164.0ms	7927×	body	80	nan