Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

443×

body

valid

simplify101.0ms

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

localize7.0ms

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)))

rewrite99.0ms

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:

41.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
15.0ms	(* x.im (* x.re x.im))
41.0ms	(* 3 (* x.im (* x.re x.im)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
19.0ms	(* x.im (* x.re x.im))
23.0ms	(* 3 (* x.im (* x.re x.im)))

simplify41.0ms

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

8 alts after pruning (7 fresh and 1 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))

rewrite60.0ms

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:

32.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
26.0ms	(* (* 3 x.im) (* x.re x.im))

series78.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
22.0ms	(* (* 3 x.im) (* x.re x.im))

simplify43.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (8.0ms)

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

prune64.0ms

Pruning

6 alts after pruning (5 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)

rewrite124.0ms

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:

52.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
53.0ms	(* (* (* 3 x.im) x.re) x.im)
16.0ms	(* (* 3 x.im) x.re)

series98.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
25.0ms	(* (* (* 3 x.im) x.re) x.im)
20.0ms	(* (* 3 x.im) x.re)

simplify56.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

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

prune98.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 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))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

46.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
46.0ms	(* (* 3 (* x.im x.re)) x.im)
15.0ms	(* 3 (* x.im x.re))

series99.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (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))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	225	290
1	1116	255
2	5001	255

prune87.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample816.0ms

Algorithm

intervals

Results

515.0ms

14419×

body

valid