Details

sample24.0ms

Algorithm

intervals

Results

16.0ms

333×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

16.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune58.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
0.1b	(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-neg-in` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

27.0ms	(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
36.0ms	(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
37.0ms	(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	224	382
1	1118	262
2	5001	252

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
8.3b	(cbrt (* (* x y) (- 1.0 y)))
8.3b	(cbrt (* (* x y) (- 1.0 y)))
8.3b	(cbrt (* (* x y) (- 1.0 y)))

rewrite39.0ms

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×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 80

Calls

4 calls:

13.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
141.0ms	(cbrt (* (* x y) (- 1.0 y)))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))
142.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	420	1095
1	1431	997
2	5001	928

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (* (* x y) (- 1.0 y)))
8.3b	(cbrt (* (* x y) (- 1.0 y)))
8.3b	(cbrt (* (* x y) (- 1.0 y)))
8.3b	(cbrt (* (* x y) (- 1.0 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt (* (* x y) (- 1.0 y)))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))
8.0ms	(cbrt (* (* x y) (- 1.0 y)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* (* x y) (- 1.0 y)))
139.0ms	(cbrt (* (* x y) (- 1.0 y)))
140.0ms	(cbrt (* (* x y) (- 1.0 y)))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	223	764
1	641	696
2	2311	644
3	5002	628

prune280.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	27	12
2	27	12

end0.0ms

sample674.0ms

Algorithm

intervals

Results

501.0ms

10635×

body

valid