Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

457×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (111.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	51	17
3	121	17
4	301	14
5	646	11
6	1627	11
done	5000	11

prune6.0ms

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

rewrite50.0ms

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:

22.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
6.0ms	(* (* x.re x.im) x.im)
20.0ms	(* 3 (* (* x.re x.im) x.im))

series110.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
29.0ms	(* (* x.re x.im) x.im)
30.0ms	(* 3 (* (* x.re x.im) x.im))

simplify578.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	82	672
1	229	610
2	991	530
done	5000	530

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
0.2b	(* (* 3 (* x.re x.im)) x.im)
0.3b	(* 3 (* x.re x.im))

rewrite48.0ms

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:

23.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
18.0ms	(* (* 3 (* x.re x.im)) x.im)
6.0ms	(* 3 (* x.re x.im))

series101.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
32.0ms	(* (* 3 (* x.re x.im)) x.im)
17.0ms	(* 3 (* x.re x.im))

simplify580.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	85	672
1	232	604
2	1071	530
done	5000	530

prune112.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (pow (* (* 3 x.re) x.im) 1) x.im))
0.2b	(* (pow (* (* 3 x.re) x.im) 1) x.im)
0.2b	(* (* 3 x.re) x.im)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
11×	`prod-exp`
10×	`add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `cbrt-unprod`
3×	`pow-exp`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `unpow-prod-down` `flip3--` `diff-log` `flip--`

Counts

3 → 55

Calls

3 calls:

10.0ms	(- (pow x.re 3) (* (pow (* (* 3 x.re) x.im) 1) x.im))
6.0ms	(* (pow (* (* 3 x.re) x.im) 1) x.im)
6.0ms	(* (* 3 x.re) x.im)

series101.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* (pow (* (* 3 x.re) x.im) 1) x.im))
33.0ms	(* (pow (* (* 3 x.re) x.im) 1) x.im)
17.0ms	(* (* 3 x.re) x.im)

simplify586.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	101	801
1	255	635
2	1179	580
done	5000	580

prune142.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im))))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
0.2b	(* (* x.re x.im) x.im)
0.3b	(* (cbrt 3) (* (* x.re x.im) x.im))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 88

Calls

4 calls:

60.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im))))
60.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
6.0ms	(* (* x.re x.im) x.im)
18.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

series280.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im))))
86.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.re x.im) x.im)))
26.0ms	(* (* x.re x.im) x.im)
65.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

simplify626.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	117	1549
1	344	1440
2	1483	1026
done	5000	1026

prune172.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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

sample930.0ms

Algorithm

intervals

Results

697.0ms

14459×

body

valid