Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	271×	body	80	nan

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 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `associate--l+`
18×	`log-prod`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`distribute-lft-out--`
6×	`pow1`
5×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `difference-of-squares`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod`

Counts

3 → 73

Calls

3 calls:

9.0ms	(- (* x (log y)) z)
12.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x (log y)) z)
37.0ms	(- (- (* x (log y)) z) y)
39.0ms	(* x (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	262	408
1	750	388
2	2284	364
3	5001	364

prune126.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series781.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
174.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify91.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune201.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	88	7	95

Merged error: 0b

Counts

95 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3` `add-cbrt-cube`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series798.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
181.0ms	(cbrt y)
234.0ms	(pow y 1/3)

simplify34.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	182	311
1	844	215
2	5001	197

prune228.0ms

Filtered

95 candidates to 66 candidates (69.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0b

Counts

102 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series702.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
178.0ms	(cbrt y)
174.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify122.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	692	136
4	4040	136
5	5001	136

prune302.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

regimes119.0ms

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

sample796.0ms

Algorithm

intervals

Results

251.0ms	8031×	body	80	valid
183.0ms	8124×	body	80	nan
1.0ms	2×	body	1280	valid