Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

485×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

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	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite104.0ms

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:

43.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
18.0ms	(* x.im (* x.re x.im))
41.0ms	(* 3 (* x.im (* x.re x.im)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
23.0ms	(* x.im (* x.re x.im))
23.0ms	(* 3 (* x.im (* x.re x.im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

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

prune109.0ms

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)))
0.3b	(* (* 3 x.im) (* x.re x.im))

rewrite65.0ms

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:

33.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
31.0ms	(* (* 3 x.im) (* x.re x.im))

series82.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
24.0ms	(* (* 3 x.im) (* x.re x.im))

simplify38.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

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

prune69.0ms

Pruning

7 alts after pruning (6 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))
0.1b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite135.0ms

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:

56.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
55.0ms	(* (* (* 3 x.im) x.re) x.im)
22.0ms	(* (* 3 x.im) x.re)

series101.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
23.0ms	(* (* (* 3 x.im) x.re) x.im)
23.0ms	(* (* 3 x.im) x.re)

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune101.0ms

Pruning

7 alts after pruning (5 fresh and 2 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))
0.1b	(* (* 3 (* x.im x.re)) x.im)
0.3b	(* 3 (* x.im x.re))

rewrite117.0ms

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:

49.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
47.0ms	(* (* 3 (* x.im x.re)) x.im)
20.0ms	(* 3 (* x.im x.re))

series103.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
26.0ms	(* (* 3 (* x.im x.re)) x.im)
22.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune94.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes49.0ms

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

sample839.0ms

Algorithm

intervals

Results

530.0ms

14437×

body

valid