Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	232×	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 (100.0%)

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))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
99×	`prod-diff`
97×	`*-un-lft-identity`
69×	`add-cube-cbrt`
59×	`associate--l+`
32×	`associate-r`
30×	`associate-l`
20×	`fma-neg`
18×	`log-prod`
15×	`distribute-lft-out--`
13×	`pow1` `unswap-sqr`
11×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`log-pow` `*-commutative`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

3 → 198

Calls

3 calls:

17.0ms	(- (- (* x (log y)) z) y)
11.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
54.0ms	(- (* x (log y)) z)
42.0ms	(* x (log y))

simplify54.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	454	1620
1	1441	1047
2	5001	873

prune251.0ms

Filtered

207 candidates to 115 candidates (44.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	5	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	6	208

Merged error: 0.0b

Counts

208 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
33.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series531.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify69.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	446	841
1	2152	693
2	5003	648

prune380.0ms

Filtered

169 candidates to 131 candidates (22.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	170	5	175

Merged error: 0b

Counts

175 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.2b	(fma (* x (* 2 1/3)) (log y) (* x (log (cbrt y))))
0.3b	(* x (* 2 1/3))
0.5b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
1.0ms	(fma (* x (* 2 1/3)) (log y) (* x (log (cbrt y))))
8.0ms	(* x (* 2 1/3))
1.0ms	(cbrt y)

series413.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
140.0ms	(fma (* x (* 2 1/3)) (log y) (* x (log (cbrt y))))
14.0ms	(* x (* 2 1/3))
167.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	325	451
1	1336	403
2	5002	387

prune238.0ms

Filtered

102 candidates to 77 candidates (24.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(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))

series806.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
174.0ms	(cbrt y)
228.0ms	(cbrt (cbrt y))
232.0ms	(cbrt (cbrt y))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	75	246
1	145	230
2	361	222
3	1373	222
4	5001	222

prune282.0ms

Filtered

70 candidates to 64 candidates (8.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Merged error: 0b

Counts

75 → 5

regimes99.0ms

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

sample723.0ms

Algorithm

intervals

Results

237.0ms	8035×	body	80	valid
167.0ms	7886×	body	80	nan