Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	258×	body	80	valid
13.0ms	275×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
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 → 67

Calls

3 calls:

20.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (- (* x (log y)) z) y)
51.0ms	(- (* x (log y)) z)
41.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

7.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series706.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt y) (cbrt y))
169.0ms	(cbrt y)
169.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune265.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series722.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
172.0ms	(cbrt y)
180.0ms	(cbrt y)
173.0ms	(pow y 1/3)

simplify148.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4922	194
3	5003	194

prune293.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.5b	(pow (cbrt y) 1/3)
4.4b	(pow (pow y 1/3) 2/3)
5.0b	(pow y 1/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-exp`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`unpow1/3` `pow1/3`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt y)
2.0ms	(pow (cbrt y) 1/3)
2.0ms	(pow (pow y 1/3) 2/3)
1.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt y)
297.0ms	(pow (cbrt y) 1/3)
309.0ms	(pow (pow y 1/3) 2/3)
167.0ms	(pow y 1/3)

simplify84.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	230	256
1	705	233
2	2571	225
3	5003	221

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes133.0ms

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	25	20
1	25	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

503.0ms	8032×	body	80	valid
322.0ms	8025×	body	80	nan
1.0ms	1×	body	1280	valid