Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
5.0ms	227×	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 3 expressions with local error:

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

rewrite23.0ms

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:

8.0ms	(- (- (* x (log y)) z) y)
5.0ms	(- (* x (log y)) z)
7.0ms	(* x (log y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (- (* x (log y)) z) y)
53.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

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 (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize11.0ms

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)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series594.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
95.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
163.0ms	(cbrt y)
244.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune343.0ms

Filtered

123 candidates to 101 candidates (82.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

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

series598.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
89.0ms	(* x (log (cbrt y)))
177.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify83.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	168	411
1	610	367
2	2425	343
3	5002	333

prune212.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* (* x 1/3) (log y)))
0.4b	(* x 1/3)
0.4b	(* (* x 1/3) (log y))
0.6b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

1.0ms	(fma x (* 2 (log (cbrt y))) (* (* x 1/3) (log y)))
3.0ms	(* x 1/3)
5.0ms	(* (* x 1/3) (log y))
1.0ms	(cbrt y)

series380.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(fma x (* 2 (log (cbrt y))) (* (* x 1/3) (log y)))
14.0ms	(* x 1/3)
46.0ms	(* (* x 1/3) (log y))
171.0ms	(cbrt y)

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	288	377
1	1293	322
2	5001	290

prune181.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample755.0ms

Algorithm

intervals

Results

236.0ms	8046×	body	80	valid
182.0ms	8024×	body	80	nan