Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	297×	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

Filtered

1 candidates to 0 candidates (0.0%)

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

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

series123.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x (log y)) z)
31.0ms	(- (- (* x (log y)) z) y)
40.0ms	(* x (log y))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (19.0ms)

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

prune156.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (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×	`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:

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

series694.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
167.0ms	(cbrt y)
165.0ms	(cbrt y)
190.0ms	(* (cbrt y) (cbrt y))

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune249.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
5.1b	(pow (/ 1 y) -1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))
4.0ms	(pow (/ 1 y) -1/3)

series708.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
173.0ms	(cbrt y)
187.0ms	(* (cbrt y) (cbrt y))
177.0ms	(pow (/ 1 y) -1/3)

simplify41.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	276	402
1	1217	361
2	5001	320

prune294.0ms

Filtered

106 candidates to 68 candidates (64.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (* 1 (pow y 2/3))))
0.3b	(* (log (pow (/ 1 y) -1/3)) x)
5.1b	(pow (/ 1 y) -1/3)
6.0b	(pow y 2/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unpow-prod-down`
14×	`add-exp-log`
12×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`pow-unpow`
5×	`pow-exp`
4×	`pow-pow` `add-log-exp`
2×	`pow-to-exp` `log-prod` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`distribute-rgt-in` `rec-exp` `pow-flip` `distribute-lft-in` `1-exp` `div-inv` `inv-pow`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* x (log (* 1 (pow y 2/3))))
3.0ms	(* (log (pow (/ 1 y) -1/3)) x)
4.0ms	(pow (/ 1 y) -1/3)
1.0ms	(pow y 2/3)

series536.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* x (log (* 1 (pow y 2/3))))
100.0ms	(* (log (pow (/ 1 y) -1/3)) x)
170.0ms	(pow (/ 1 y) -1/3)
181.0ms	(pow y 2/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	376	464
1	1797	373
2	5002	339

prune271.0ms

Filtered

101 candidates to 65 candidates (64.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes95.0ms

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

sample724.0ms

Algorithm

intervals

Results

237.0ms	8033×	body	80	valid
172.0ms	7952×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	3×	body	640	valid