Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

354×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

21.0ms	(* (* (* x 3.0) y) y)
6.0ms	(* (* x 3.0) y)

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (* (* x 3.0) y) y)
25.0ms	(* (* x 3.0) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	174	202
1	1038	159
2	5002	159

prune83.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x (* 3.0 y)) y)
0.3b	(* x (* 3.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

17.0ms	(* (* x (* 3.0 y)) y)
6.0ms	(* x (* 3.0 y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* x (* 3.0 y)) y)
20.0ms	(* x (* 3.0 y))

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	175	202
1	893	159
2	5002	159

prune74.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x (* 3.0 y)) y)) (cbrt (* (* x (* 3.0 y)) y)))
20.4b	(cbrt (* (* x (* 3.0 y)) y))
20.4b	(cbrt (* (* x (* 3.0 y)) y))
20.4b	(cbrt (* (* x (* 3.0 y)) y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

13.0ms	(* (cbrt (* (* x (* 3.0 y)) y)) (cbrt (* (* x (* 3.0 y)) y)))
18.0ms	(cbrt (* (* x (* 3.0 y)) y))
15.0ms	(cbrt (* (* x (* 3.0 y)) y))
16.0ms	(cbrt (* (* x (* 3.0 y)) y))

series510.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (* (* x (* 3.0 y)) y)) (cbrt (* (* x (* 3.0 y)) y)))
118.0ms	(cbrt (* (* x (* 3.0 y)) y))
117.0ms	(cbrt (* (* x (* 3.0 y)) y))
118.0ms	(cbrt (* (* x (* 3.0 y)) y))

simplify109.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	229	581
1	758	516
2	3518	443
3	5002	437

prune223.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
8.0b	(cbrt (* x (* 3.0 y)))
20.4b	(cbrt (* (* x (* 3.0 y)) y))
20.4b	(cbrt (* (* x (* 3.0 y)) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

0.0ms	(cbrt y)
4.0ms	(cbrt (* x (* 3.0 y)))
15.0ms	(cbrt (* (* x (* 3.0 y)) y))
15.0ms	(cbrt (* (* x (* 3.0 y)) y))

series529.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
104.0ms	(cbrt (* x (* 3.0 y)))
119.0ms	(cbrt (* (* x (* 3.0 y)) y))
121.0ms	(cbrt (* (* x (* 3.0 y)) y))

simplify124.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	185	301
1	389	273
2	1133	243
3	4022	243
4	5001	243

prune204.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample362.0ms

Algorithm

intervals

Results

197.0ms

10758×

body

valid