Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
5.0ms	268×	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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

27.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (- (* x (log y)) z) y)
36.0ms	(* x (log y))

simplify135.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	302	480
1	1071	361
2	4460	338
3	5001	311

prune145.0ms

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)

series718.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
175.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

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

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`unpow-prod-down`
18×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqr-pow`
9×	`prod-exp` `unswap-sqr`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow1` `pow-unpow` `unpow1/3`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-pow`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

8.0ms	(* (pow y 1/3) (pow y 1/3))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)
1.0ms	(pow y 1/3)

series703.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (pow y 1/3) (pow y 1/3))
172.0ms	(cbrt y)
170.0ms	(pow y 1/3)
172.0ms	(pow y 1/3)

simplify39.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	196	348
1	816	296
2	5001	285

prune342.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

4.6b	(pow (pow y 2/3) 1/3)
5.2b	(pow y 1/3)
5.2b	(pow y 1/3)
6.1b	(pow y 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

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

series805.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(pow (pow y 2/3) 1/3)
180.0ms	(pow y 1/3)
171.0ms	(pow y 1/3)
168.0ms	(pow y 2/3)

simplify89.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	214	247
1	678	234
2	2765	228
3	5001	219

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

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	26	20
1	26	20

end0.0ms

sample728.0ms

Algorithm

intervals

Results

232.0ms	8040×	body	80	valid
169.0ms	7901×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid