Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

501×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	11	19
1	22	17
2	53	16
3	115	16
4	278	11
5	641	11
6	1572	11
7	4370	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite22.0ms

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)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* x.re (* x.re x.im))
25.0ms	(* 3 (* x.re (* x.re x.im)))

simplify3.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	61	429
1	159	406
2	592	334
3	2036	334
done	5001	334

prune96.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify4.6s

Counts

27 → 27

Iterations

Useful iterations: 3 (803.0ms)

Iter	Nodes	Cost
0	48	287
1	138	265
2	588	213
3	2388	209
done	5000	209

prune43.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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:

6.0ms	(* x.re (* x.re x.im))
53.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.re x.im))))
16.0ms	(* (cbrt 3) (* x.re (* x.re x.im)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* x.re (* x.re x.im))
66.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.re x.im))))
48.0ms	(* (cbrt 3) (* x.re (* x.re x.im)))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	98	1198
1	277	1151
2	1100	801
done	5000	801

prune170.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
3×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 75

Calls

3 calls:

8.0ms	(* x.re (* x.re x.im))
17.0ms	(* (sqrt 3) (* x.re (* x.re x.im)))
47.0ms	(* (sqrt 3) (* (sqrt 3) (* x.re (* x.re x.im))))

series147.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* x.re (* x.re x.im))
47.0ms	(* (sqrt 3) (* x.re (* x.re x.im)))
84.0ms	(* (sqrt 3) (* (sqrt 3) (* x.re (* x.re x.im))))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	88	980
1	237	812
2	955	648
3	4457	648
done	5000	648

prune164.0ms

Pruning

7 alts after pruning (4 fresh and 3 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

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample745.0ms

Algorithm

intervals

Results

520.0ms

14561×

body

valid