Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

343×

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))

rewrite32.0ms

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:

30.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (39.0ms)

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

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite87.0ms

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:

36.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
15.0ms	(cbrt (* (* x y) (- 1.0 y)))
18.0ms	(cbrt (* (* x y) (- 1.0 y)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
114.0ms	(cbrt (* (* x y) (- 1.0 y)))
119.0ms	(cbrt (* (* x y) (- 1.0 y)))
122.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

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

prune586.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))
9.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite68.0ms

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:

17.0ms	(cbrt (* (* x y) (- 1.0 y)))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
15.0ms	(cbrt (* (* x y) (- 1.0 y)))
19.0ms	(cbrt (* (* x y) (- 1.0 y)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* (* x y) (- 1.0 y)))
125.0ms	(cbrt (* (* x y) (- 1.0 y)))
119.0ms	(cbrt (* (* x y) (- 1.0 y)))
121.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (57.0ms)

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

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
4.3b	(* x (* y (- 1.0 y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

25.0ms	(* y (- 1.0 y))
34.0ms	(* x (* y (- 1.0 y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* y (- 1.0 y))
40.0ms	(* x (* y (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	396	1094
1	1575	666
2	5002	648

prune129.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes121.0ms

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

sample411.0ms

Algorithm

intervals

Results

233.0ms

10713×

body

valid