Details

sample52.0ms

Algorithm

intervals

Results

40.0ms

475×

body

valid

simplify84.0ms

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

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)))

rewrite44.0ms

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:

22.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
6.0ms	(* x.im (* x.re x.im))
15.0ms	(* 3 (* x.im (* x.re x.im)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
21.0ms	(* 3 (* x.im (* x.re x.im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

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

prune103.0ms

Pruning

6 alts after pruning (6 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))

rewrite26.0ms

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:

15.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
10.0ms	(* (* 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)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify37.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

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

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
0.2b	(* (cbrt 3) (* x.im (* x.re x.im)))

rewrite130.0ms

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:

54.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
6.0ms	(* x.im (* x.re x.im))
50.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
16.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
17.0ms	(* x.im (* x.re x.im))
65.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
52.0ms	(* (cbrt 3) (* x.im (* x.re x.im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (44.0ms)

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

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im))))
0.1b	(* x.im (* x.re x.im))
0.1b	(* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

77×	`pow1` `add-exp-log`
67×	`add-cbrt-cube`
54×	`pow-prod-down` `prod-exp` `cbrt-unprod`
22×	`associate-l`
12×	`sqrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 115

Calls

4 calls:

50.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im))))
6.0ms	(* x.im (* x.re x.im))
19.0ms	(* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))
147.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
83.0ms	(* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))
72.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im (* x.re x.im)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	380	1135
1	1688	770
2	5002	675

prune199.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample1.5s

Algorithm

intervals

Results

1.3s

14488×

body

valid