Details

sample31.0ms

Algorithm

intervals

Results

19.0ms

468×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite40.0ms

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:

18.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
5.0ms	(* x.im (* x.re x.im))
14.0ms	(* 3 (* x.im (* x.re x.im)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
18.0ms	(* x.im (* x.re x.im))
25.0ms	(* 3 (* x.im (* x.re x.im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5002	253

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite27.0ms

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:

14.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
12.0ms	(* (* 3 x.im) (* x.re x.im))

series76.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
22.0ms	(* (* 3 x.im) (* x.re x.im))

simplify39.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (8.0ms)

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

prune68.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.1b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite55.0ms

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))
20.0ms	(* (* (* 3 x.im) x.re) x.im)
6.0ms	(* (* 3 x.im) x.re)

series96.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
22.0ms	(* (* (* 3 x.im) x.re) x.im)
20.0ms	(* (* 3 x.im) x.re)

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune105.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 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)))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
0.3b	(* (cbrt 3) (* x.im (* x.re x.im)))

rewrite126.0ms

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:

50.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
5.0ms	(* x.im (* x.re x.im))
51.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
15.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
17.0ms	(* x.im (* x.re x.im))
71.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
58.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (49.0ms)

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

prune165.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.2b 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

sample785.0ms

Algorithm

intervals

Results

535.0ms

14504×

body

valid