Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

345×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (* x y) y)

series170.0ms

Counts

1 → 3

Calls

1 calls:

170.0ms

(* (* x y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune36.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.8b	(cbrt (* (* x y) y))
22.8b	(cbrt (* (* x y) y))
22.8b	(cbrt (* (* x y) y))

rewrite25.0ms

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:

8.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
5.0ms	(cbrt (* (* x y) y))
5.0ms	(cbrt (* (* x y) y))
5.0ms	(cbrt (* (* x y) y))

series385.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
92.0ms	(cbrt (* (* x y) y))
91.0ms	(cbrt (* (* x y) y))
94.0ms	(cbrt (* (* x y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	209	467
1	684	410
2	3048	353
3	5001	345

prune190.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
9.3b	(cbrt (* x y))
22.8b	(cbrt (* (* x y) y))
22.8b	(cbrt (* (* x y) y))

rewrite13.0ms

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

series422.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
68.0ms	(cbrt (* x y))
91.0ms	(cbrt (* (* x y) y))
90.0ms	(cbrt (* (* x y) y))

simplify99.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	166	248
1	355	222
2	1047	196
3	3611	192
4	5001	192

prune184.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b	(expm1 (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))))
22.8b	(cbrt (* (* x y) y))
22.8b	(cbrt (* (* x y) y))
22.8b	(cbrt (* (* x y) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

0.0ms	(expm1 (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))))
5.0ms	(cbrt (* (* x y) y))
5.0ms	(cbrt (* (* x y) y))
8.0ms	(cbrt (* (* x y) y))

series442.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(expm1 (log1p (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))))
92.0ms	(cbrt (* (* x y) y))
93.0ms	(cbrt (* (* x y) y))
92.0ms	(cbrt (* (* x y) y))

simplify146.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	167	372
1	378	311
2	1085	270
3	4705	267
4	5001	267

prune174.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample328.0ms

Algorithm

intervals

Results

165.0ms

10754×

body

valid