Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

481×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (164.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	53	17
3	134	17
4	321	12
5	670	11
6	1623	11
done	5000	11

prune11.0ms

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

rewrite47.0ms

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)))
17.0ms	(* 3 (* (* x.re x.im) x.im))
7.0ms	(* (* x.re x.im) x.im)

series107.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (pow x.re 3) (* 3 (* (* x.re x.im) x.im)))
29.0ms	(* 3 (* (* x.re x.im) x.im))
28.0ms	(* (* x.re x.im) x.im)

simplify1.0s

Counts

60 → 60

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	82	672
1	229	616
2	975	530
done	5000	530

prune106.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)
0.2b	(* 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))

series100.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (pow x.re 3) (* (* 3 (* x.re x.im)) x.im))
31.0ms	(* (* 3 (* x.re x.im)) x.im)
17.0ms	(* 3 (* x.re x.im))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	85	672
1	232	604
2	1056	530
done	5000	530

prune113.0ms

Pruning

10 alts after pruning (8 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.re) x.im) x.im))
0.2b	(* (* (* 3 x.re) x.im) x.im)
0.2b	(* (* 3 x.re) x.im)

rewrite59.0ms

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:

26.0ms	(- (pow x.re 3) (* (* (* 3 x.re) x.im) x.im))
21.0ms	(* (* (* 3 x.re) x.im) x.im)
10.0ms	(* (* 3 x.re) x.im)

series102.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	83	673
1	230	607
2	1102	535
done	5000	529

prune106.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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

rewrite148.0ms

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)))
7.0ms	(* (* x.re x.im) x.im)
18.0ms	(* (cbrt 3) (* (* x.re x.im) x.im))

series273.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (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))

simplify856.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	117	1549
1	344	1440
2	1476	1026
done	5000	1026

prune173.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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

sample710.0ms

Algorithm

intervals

Results

490.0ms

14417×

body

valid