Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

349×

body

valid

simplify9.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

9.0ms	(* (* (* x 3.0) y) y)
5.0ms	(* (* x 3.0) y)

series51.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (* (* x 3.0) y) y)
19.0ms	(* (* x 3.0) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	170	188
1	1034	145
2	5001	145

prune63.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* x (* 3.0 y)) y)
5.0ms	(* x (* 3.0 y))

series50.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (* x (* 3.0 y)) y)
19.0ms	(* x (* 3.0 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	171	188
1	889	145
2	5001	145

prune58.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
22.3b	(cbrt (* (* (* x 3.0) y) y))
22.3b	(cbrt (* (* (* x 3.0) y) y))
22.3b	(cbrt (* (* (* x 3.0) y) y))

rewrite21.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))

series472.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
109.0ms	(cbrt (* (* (* x 3.0) y) y))
110.0ms	(cbrt (* (* (* x 3.0) y) y))
110.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify110.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	220	537
1	708	472
2	3288	393
3	5001	387

prune175.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.6b	(cbrt (* (* x 3.0) y))
22.3b	(cbrt (* (* (* x 3.0) y) y))
22.3b	(cbrt (* (* (* x 3.0) y) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (* x 3.0) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt y)
96.0ms	(cbrt (* (* x 3.0) y))
106.0ms	(cbrt (* (* (* x 3.0) y) y))
109.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify107.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	177	271
1	363	243
2	1056	211
3	3779	211
4	5001	209

prune151.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.3b 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

sample346.0ms

Algorithm

intervals

Results

195.0ms

10661×

body

valid