Details

sample75.0ms

Algorithm

intervals

Results

46.0ms

463×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: done (7.5s)

Iter	Nodes	Cost
0	11	19
1	27	19
2	238	17
3	2313	14
done	5000	13

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* x.im (* x.im (+ (* 2 x.re) x.re))))
0.2b	(* x.im (* x.im (+ (* 2 x.re) x.re)))
0.2b	(* x.im (+ (* 2 x.re) x.re))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r/` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate--r+`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`sub-neg` `distribute-rgt-out` `flip3--` `distribute-lft1-in` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

56.0ms	(- (pow x.re 3) (* x.im (* x.im (+ (* 2 x.re) x.re))))
63.0ms	(* x.im (* x.im (+ (* 2 x.re) x.re)))
42.0ms	(* x.im (+ (* 2 x.re) x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (pow x.re 3) (* x.im (* x.im (+ (* 2 x.re) x.re))))
31.0ms	(* x.im (* x.im (+ (* 2 x.re) x.re)))
22.0ms	(* x.im (+ (* 2 x.re) x.re))

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	101	927
1	793	756
done	5001	684

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite146.0ms

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:

47.0ms	(- (pow x.re 3) (* x.im (* (* x.im 3) x.re)))
59.0ms	(* x.im (* (* x.im 3) x.re))
38.0ms	(* (* x.im 3) x.re)

series144.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (pow x.re 3) (* x.im (* (* x.im 3) x.re)))
25.0ms	(* x.im (* (* x.im 3) x.re))
25.0ms	(* (* x.im 3) x.re)

simplify2.3s

Counts

60 → 60

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	85	672
1	561	612
done	5000	536

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x.re 3) (* x.im (* x.im (* 2 x.re))))
0.1b	(- (- (pow x.re 3) (* x.im (* x.im (* 2 x.re)))) (* (* x.im x.re) x.im))
0.2b	(* x.im (* x.im (* 2 x.re)))
0.2b	(* (* x.im x.re) x.im)

rewrite682.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

76.0ms	(- (pow x.re 3) (* x.im (* x.im (* 2 x.re))))
504.0ms	(- (- (pow x.re 3) (* x.im (* x.im (* 2 x.re)))) (* (* x.im x.re) x.im))
63.0ms	(* x.im (* x.im (* 2 x.re)))
36.0ms	(* (* x.im x.re) x.im)

series239.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (pow x.re 3) (* x.im (* x.im (* 2 x.re))))
75.0ms	(- (- (pow x.re 3) (* x.im (* x.im (* 2 x.re)))) (* (* x.im x.re) x.im))
42.0ms	(* x.im (* x.im (* 2 x.re)))
34.0ms	(* (* x.im x.re) x.im)

simplify2.4s

Counts

79 → 79

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	117	1101
1	743	1010
done	5000	852

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x.im (* (* x.im 3) x.re))) (cbrt (* x.im (* (* x.im 3) x.re))))
21.8b	(cbrt (* x.im (* (* x.im 3) x.re)))
21.8b	(cbrt (* x.im (* (* x.im 3) x.re)))
21.8b	(cbrt (* x.im (* (* x.im 3) x.re)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

54.0ms	(* (cbrt (* x.im (* (* x.im 3) x.re))) (cbrt (* x.im (* (* x.im 3) x.re))))
66.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))
68.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))
59.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (* x.im (* (* x.im 3) x.re))) (cbrt (* x.im (* (* x.im 3) x.re))))
169.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))
151.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))
135.0ms	(cbrt (* x.im (* (* x.im 3) x.re)))

simplify3.4s

Counts

70 → 70

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	95	1062
1	557	959
done	5000	792

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

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 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14468×

body

valid