Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

349×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 0.2b

localize8.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
6.0ms	(* (* x 3.0) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (* (* x 3.0) y) y)
26.0ms	(* (* x 3.0) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

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

prune103.0ms

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)
0.2b	(* 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`
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:

8.0ms	(* (* x (* 3.0 y)) y)
6.0ms	(* x (* 3.0 y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (* x (* 3.0 y)) y)
25.0ms	(* x (* 3.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

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

prune89.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite30.0ms

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:

9.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
6.0ms	(cbrt (* (* (* x 3.0) y) y))
7.0ms	(cbrt (* (* (* x 3.0) y) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))

series632.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
144.0ms	(cbrt (* (* (* x 3.0) y) y))
145.0ms	(cbrt (* (* (* x 3.0) y) y))
148.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify131.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	228	581
1	749	516
2	3454	443
3	5001	437

prune274.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite19.0ms

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:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (* x 3.0) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))

series639.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt y)
127.0ms	(cbrt (* (* x 3.0) y))
146.0ms	(cbrt (* (* (* x 3.0) y) y))
146.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify144.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	184	301
1	387	273
2	1133	243
3	4021	243
4	5001	243

prune252.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample368.0ms

Algorithm

intervals

Results

202.0ms

10661×

body

valid