Details

sample64.0ms

Algorithm

intervals

Results

52.0ms

474×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (19.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.2b	(* 3 (* x.im (* x.re x.im)))
0.2b	(* x.im (* x.re x.im))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

19.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
15.0ms	(* 3 (* x.im (* x.re x.im)))
6.0ms	(* x.im (* x.re x.im))

series91.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
24.0ms	(* 3 (* x.im (* x.re x.im)))
17.0ms	(* x.im (* x.re x.im))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5001	253

prune111.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

17.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
10.0ms	(* (* 3 x.im) (* x.re x.im))

series71.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify44.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	193	231
1	907	200
2	5001	200

prune77.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.2b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

27.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms	(* (* (* 3 x.im) x.re) x.im)
7.0ms	(* (* 3 x.im) x.re)

series93.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
20.0ms	(* (* (* 3 x.im) x.re) x.im)
20.0ms	(* (* 3 x.im) x.re)

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	230	290
1	1308	255
2	5001	255

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
0.2b	(* x.im (* x.re x.im))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
0.2b	(* (cbrt 3) (* x.im (* x.re x.im)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`cbrt-prod` `associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 88

Calls

4 calls:

53.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
6.0ms	(* x.im (* x.re x.im))
53.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
16.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
17.0ms	(* x.im (* x.re x.im))
70.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
56.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	325	790
1	1393	603
2	5001	546

prune156.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

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	11	5
1	11	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

14351×

body

valid