Details

sample74.0ms

Algorithm

intervals

Results

43.0ms

469×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (830.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	58	17
3	161	17
4	454	14
5	1801	11
done	5000	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
9.1b	(* (* x.im x.im) (* 3 x.re))

rewrite137.0ms

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:

69.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
66.0ms	(* (* x.im x.im) (* 3 x.re))

series164.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(- (pow x.re 3) (* (* x.im x.im) (* 3 x.re)))
53.0ms	(* (* x.im x.im) (* 3 x.re))

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	67	537
1	201	480
2	1220	412
done	5000	410

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite224.0ms

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:

92.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
93.0ms	(* x.im (* x.im (* 3 x.re)))
36.0ms	(* x.im (* 3 x.re))

series197.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (pow x.re 3) (* x.im (* x.im (* 3 x.re))))
47.0ms	(* x.im (* x.im (* 3 x.re)))
38.0ms	(* x.im (* 3 x.re))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	79	667
1	215	609
2	1203	535
done	5000	527

prune374.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* x.im (pow (* 3 (* x.im x.re)) 1)))
0.2b	(* x.im (pow (* 3 (* x.im x.re)) 1))
0.3b	(* 3 (* x.im x.re))

rewrite124.0ms

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:

45.0ms	(- (pow x.re 3) (* x.im (pow (* 3 (* x.im x.re)) 1)))
41.0ms	(* x.im (pow (* 3 (* x.im x.re)) 1))
35.0ms	(* 3 (* x.im x.re))

series192.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- (pow x.re 3) (* x.im (pow (* 3 (* x.im x.re)) 1)))
43.0ms	(* x.im (pow (* 3 (* x.im x.re)) 1))
39.0ms	(* 3 (* x.im x.re))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	100	798
1	273	632
2	1409	581
done	5000	581

prune431.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`prod-exp`
7×	`add-cbrt-cube`
5×	`pow1` `associate-r`
4×	`pow-exp` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `cbrt-unprod`
2×	`pow-to-exp`
1×	`sub-neg` `unpow-prod-down` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `sqr-pow`

Counts

2 → 38

Calls

2 calls:

53.0ms	(- (pow x.re 3) (* (* 3 x.im) (pow (* x.im x.re) 1)))
60.0ms	(* (* 3 x.im) (pow (* x.im x.re) 1))

series157.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(- (pow x.re 3) (* (* 3 x.im) (pow (* x.im x.re) 1)))
44.0ms	(* (* 3 x.im) (pow (* x.im x.re) 1))

simplify1.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (433.0ms)

Iter	Nodes	Cost
0	81	650
1	235	491
2	1473	446
done	5000	446

prune231.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.4s

14526×

body

valid