Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

12.0ms

(* (* x y) (- 1.0 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* x y) (- 1.0 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

14.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	401	1054
1	1337	968
2	5001	887

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite16.0ms

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×	`cbrt-div` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

5.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
1.0ms	(cbrt (* x y))
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
70.0ms	(cbrt (* x y))
65.0ms	(cbrt (* x y))
137.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	354	461
1	1142	410
2	5001	357

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt y)
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 42

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt y)
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
171.0ms	(cbrt y)
71.0ms	(cbrt (* x y))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	310	312
1	834	285
2	3091	259
3	5001	257

prune210.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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	3
1	8	3

end0.0ms

sample346.0ms

Algorithm

intervals

Results

186.0ms

10636×

body

valid