Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	259×	body	80	valid
5.0ms	262×	body	80	nan

simplify17.0ms

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

localize11.0ms

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))

rewrite69.0ms

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:

49.0ms	(- (- (* x (log y)) z) y)
9.0ms	(- (* x (log y)) z)
9.0ms	(* x (log y))

series124.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (- (* x (log y)) z) y)
58.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (21.0ms)

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

prune154.0ms

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)

rewrite19.0ms

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:

14.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series714.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
175.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

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

prune250.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (* 1 (pow y 2/3))))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `log-pow`
2×	`log-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
18.0ms	(* x (log (* 1 (pow y 2/3))))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series550.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (log (cbrt y)) x)
85.0ms	(* x (log (* 1 (pow y 2/3))))
187.0ms	(cbrt y)
171.0ms	(pow y 2/3)

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	248	327
1	1097	273
2	5001	260

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log (cbrt y)))
0.6b	(cbrt (log (cbrt y)))
0.6b	(cbrt (log (cbrt y)))
6.0b	(pow y 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`pow1/3` `log-pow`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (log (cbrt y)))
1.0ms	(cbrt (log (cbrt y)))
1.0ms	(cbrt (log (cbrt y)))
3.0ms	(pow y 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

348.0ms	(cbrt (log (cbrt y)))
357.0ms	(cbrt (log (cbrt y)))
443.0ms	(cbrt (log (cbrt y)))
161.0ms	(pow y 2/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	134	302
1	379	269
2	1364	263
3	5001	257

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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

sample815.0ms

Algorithm

intervals

Results

226.0ms	8040×	body	80	valid
162.0ms	8114×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid