Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

449×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	11	19
1	22	17
2	53	16
3	115	16
4	278	11
5	636	11
6	1567	11
7	4354	11
done	5000	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* x.re (* x.re x.im))
15.0ms	(* 3 (* x.re (* x.re x.im)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* x.re (* x.re x.im))
20.0ms	(* 3 (* x.re (* x.re x.im)))

simplify4.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	61	429
1	159	406
2	584	334
3	2008	334
done	5001	334

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

10.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify4.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (711.0ms)

Iter	Nodes	Cost
0	48	287
1	138	265
2	584	213
3	2352	209
done	5000	209

prune40.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.re x.im))))
0.2b	(* x.re (* x.re x.im))
0.3b	(* (cbrt 3) (* x.re (* x.re x.im)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
10×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`cbrt-prod` `expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 82

Calls

3 calls:

55.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.re x.im))))
6.0ms	(* x.re (* x.re x.im))
17.0ms	(* (cbrt 3) (* x.re (* x.re x.im)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.re x.im))))
17.0ms	(* x.re (* x.re x.im))
49.0ms	(* (cbrt 3) (* x.re (* x.re x.im)))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	98	1198
1	276	1157
2	1073	801
done	5001	801

prune162.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

77×	`pow1` `add-exp-log`
54×	`pow-prod-down` `prod-exp` `cbrt-unprod`
43×	`add-cbrt-cube`
22×	`associate-l`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 123

Calls

4 calls:

18.0ms	(* (cbrt (sqrt 3)) (* x.re (* x.re x.im)))
141.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.re (* x.re x.im)))))
46.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.re (* x.re x.im))))
6.0ms	(* x.re (* x.re x.im))

series706.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (sqrt 3)) (* x.re (* x.re x.im)))
305.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.re (* x.re x.im)))))
220.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.re (* x.re x.im))))
16.0ms	(* x.re (* x.re x.im))

simplify824.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	138	2219
1	395	2089
2	1673	1486
done	5001	1486

prune298.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample766.0ms

Algorithm

intervals

Results

532.0ms

14419×

body

valid