Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	259×	body	80	valid
10.0ms	261×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite34.0ms

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:

23.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series125.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
39.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

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

prune192.0ms

Pruning

6 alts after pruning (5 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:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series705.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt y) (cbrt y))
172.0ms	(cbrt y)
176.0ms	(cbrt y)
167.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

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

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (* 1 (pow y 1/3)))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
13×	`prod-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow` `1-exp` `pow-exp`
2×	`unpow1/3` `pow1/3`
1×	`pow-pow` `associate-r` `pow-prod-down` `*-commutative` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

12.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series727.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
178.0ms	(cbrt y)
178.0ms	(cbrt y)
172.0ms	(pow y 1/3)

simplify95.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	218	262
1	779	190
2	3724	178
3	5003	171

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.7b	(pow (cbrt y) 1/3)
4.6b	(pow (pow y 1/3) 2/3)
5.2b	(pow y 1/3)
5.2b	(pow y 1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
9×	`add-exp-log`
7×	`pow1` `pow-exp`
5×	`pow-to-exp` `pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow1/3`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

2.0ms	(pow (cbrt y) 1/3)
2.0ms	(pow (pow y 1/3) 2/3)
1.0ms	(pow y 1/3)
1.0ms	(pow y 1/3)

series937.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(pow (cbrt y) 1/3)
294.0ms	(pow (pow y 1/3) 2/3)
170.0ms	(pow y 1/3)
174.0ms	(pow y 1/3)

simplify84.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	233	290
1	708	267
2	2594	259
3	5001	253

prune373.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	21
1	33	21
2	33	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

384.0ms	8030×	body	80	valid
313.0ms	8190×	body	80	nan
1.0ms	2×	body	1280	valid