Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

330×

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))

rewrite35.0ms

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:

29.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (40.0ms)

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

prune59.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-*l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

66.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	188	204
1	1005	133
2	5002	126

prune76.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.0b	(cbrt (* (* x y) (- 1.0 y)))
10.0b	(cbrt (* (* x y) (- 1.0 y)))
10.0b	(cbrt (* (* x y) (- 1.0 y)))

rewrite88.0ms

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:

35.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
15.0ms	(cbrt (* (* x y) (- 1.0 y)))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
19.0ms	(cbrt (* (* x y) (- 1.0 y)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
135.0ms	(cbrt (* (* x y) (- 1.0 y)))
141.0ms	(cbrt (* (* x y) (- 1.0 y)))
137.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

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

prune276.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
9.9b	(cbrt (* x y))
9.9b	(cbrt (* x y))
10.0b	(cbrt (* (* x y) (- 1.0 y)))

rewrite37.0ms

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×	`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 → 68

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
3.0ms	(cbrt (* x y))
3.0ms	(cbrt (* x y))
15.0ms	(cbrt (* (* x y) (- 1.0 y)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
69.0ms	(cbrt (* x y))
213.0ms	(cbrt (* x y))
140.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	371	490
1	1225	441
2	5001	396

prune236.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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

sample402.0ms

Algorithm

intervals

Results

185.0ms

10661×

body

valid