Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	258×	body	80	valid
7.0ms	267×	body	80	nan

simplify18.0ms

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 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

9.0ms	(- (- (* x (log y)) z) y)
5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (- (* x (log y)) z) y)
52.0ms	(- (* x (log y)) z)
42.0ms	(* x (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune163.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x (log y) (- z)) y)
0.1b	(fma x (log y) (- z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

4.0ms	(- (fma x (log y) (- z)) y)
1.0ms	(fma x (log y) (- z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify82.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	179	357
1	563	272
2	2655	257
3	5001	222

prune83.0ms

Filtered

45 candidates to 32 candidates (71.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series527.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (* 2 (log (cbrt y))))
87.0ms	(* x (log (cbrt y)))
170.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	297	668
1	1179	591
2	5001	567

prune255.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`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 → 58

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series816.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
169.0ms	(cbrt y)
231.0ms	(cbrt (cbrt y))
234.0ms	(cbrt (cbrt y))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	75	246
1	145	230
2	361	222
3	1382	222
4	5002	222

prune263.0ms

Filtered

70 candidates to 64 candidates (91.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0b

Counts

74 → 4

regimes64.0ms

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	7	4

end0.0ms

sample852.0ms

Algorithm

intervals

Results

295.0ms	8027×	body	80	valid
221.0ms	7964×	body	80	nan
0.0ms	1×	body	160	valid

Details

sample31.0ms

simplify18.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series127.0ms

simplify47.0ms

prune163.0ms

localize7.0ms

rewrite6.0ms

series89.0ms

simplify82.0ms

prune83.0ms

localize12.0ms

rewrite18.0ms

series527.0ms

simplify47.0ms

prune255.0ms

localize22.0ms

rewrite7.0ms

series816.0ms

simplify52.0ms

prune263.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample852.0ms

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