Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
9.0ms	258×	body	80	nan

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	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: 15.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
14.6b	(log (/ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

7.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* x (log (/ x y))) z)
46.0ms	(* x (log (/ x y)))
38.0ms	(log (/ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	413	767
1	1429	702
2	5001	683

prune263.0ms

Filtered

126 candidates to 91 candidates (72.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 0b

Counts

127 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series699.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
175.0ms	(cbrt x)
176.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune239.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Merged error: 0b

Counts

72 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series732.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
182.0ms	(cbrt x)
187.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune221.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0b

Counts

72 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
3.5b	(log (/ (cbrt x) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`cbrt-prod`
27×	`add-cube-cbrt` `*-un-lft-identity`
22×	`log-prod`
18×	`times-frac`
12×	`pow1`
9×	`add-exp-log`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-div` `pow-plus` `div-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
4.0ms	(log (/ (cbrt x) y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
185.0ms	(cbrt x)
208.0ms	(* (cbrt x) (cbrt x))
123.0ms	(log (/ (cbrt x) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	278	534
1	967	498
2	5001	468

prune305.0ms

Filtered

115 candidates to 88 candidates (76.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	115	8	123

Merged error: 0b

Counts

123 → 8

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	24	14
2	24	14

end0.0ms

sample993.0ms

Algorithm

intervals

Results

345.0ms	8031×	body	80	valid
271.0ms	7959×	body	80	nan

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4