Details

sample62.0ms

Algorithm

intervals

Results

39.0ms

481×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1115
4	335
3	127
2	51
1	20
0	11

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.5b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`frac-add`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 67

Calls

4 calls:

12.0ms	(+ (* x.re x.im) (* x.im x.re))
32.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
33.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
44.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series219.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* x.re x.im) (* x.im x.re))
87.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
87.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	2761
1	419
0	135

prune435.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

12.0ms	(+ (* x.re x.im) (* x.im x.re))
63.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
70.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series274.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x.re x.im) (* x.im x.re))
116.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
100.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
1	715
0	197

prune594.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity`
8×	`associate-l` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`frac-times` `flip3-+` `flip-+`
3×	`flip3--` `*-commutative` `flip--`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 77

Calls

4 calls:

23.0ms	(* 2 (* x.im x.re))
53.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* 2 (* x.im x.re)) x.re))
43.0ms	(* (* 2 (* x.im x.re)) x.re)
58.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series275.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2 (* x.im x.re))
118.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* 2 (* x.im x.re)) x.re))
49.0ms	(* (* 2 (* x.im x.re)) x.re)
84.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2804
1	428
0	136

prune485.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
5×	`associate-l`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

48.0ms	(- (* x.re (* (* x.im x.re) 3)) (* (* x.im x.im) x.im))
19.0ms	(* (* x.im x.im) x.im)
55.0ms	(* x.re (* (* x.im x.re) 3))
13.0ms	(* (* x.im x.re) 3)

series238.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (* x.re (* (* x.im x.re) 3)) (* (* x.im x.im) x.im))
42.0ms	(* (* x.im x.im) x.im)
39.0ms	(* x.re (* (* x.im x.re) 3))
36.0ms	(* (* x.im x.re) 3)

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2254
1	329
0	108

prune345.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

14354×

body

valid