Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	259×	body	80	valid
10.0ms	247×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

4.0ms	(- (* x (log y)) z)
24.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x (log y)) z)
36.0ms	(- (- (* x (log y)) z) y)
39.0ms	(* x (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

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

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series704.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt y) (cbrt y))
168.0ms	(cbrt y)
173.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series882.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
237.0ms	(cbrt (cbrt y))
240.0ms	(cbrt (cbrt y))
231.0ms	(cbrt (cbrt y))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	75	283
1	145	265
2	361	257
3	1382	257
4	5002	257

prune317.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log y))
0.1b	(sqrt (log y))
0.1b	(* x (sqrt (log y)))
0.2b	(* (* x (sqrt (log y))) (sqrt (log y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

1.0ms	(sqrt (log y))
1.0ms	(sqrt (log y))
5.0ms	(* x (sqrt (log y)))
12.0ms	(* (* x (sqrt (log y))) (sqrt (log y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (log y))
137.0ms	(sqrt (log y))
58.0ms	(* x (sqrt (log y)))
37.0ms	(* (* x (sqrt (log y))) (sqrt (log y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	169	420
1	717	366
2	2208	342
3	5003	342

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes96.0ms

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

sample1.1s

Algorithm

intervals

Results

433.0ms	8027×	body	80	valid
305.0ms	7718×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid