Details

sample45.0ms

Algorithm

intervals

Results

26.0ms

337×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	10
1	10
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

14.0ms

(+ (* x.re y.im) (* x.im y.re))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify884.0ms

Counts

15 → 15

Iterations

Iter	Nodes
4	2465
3	940
2	339
1	102
0	33

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

36.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
114.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
150.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
136.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify681.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2028
2	834
1	335
0	128

prune973.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.im y.re) (* x.im y.re))
0.3b	(* (* x.re y.im) (* x.re y.im))
2.3b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
25.4b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `insert-posit16` `associate-/l*`
3×	`associate-/r*` `flip3--` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 121

Calls

4 calls:

31.0ms	(* (* x.im y.re) (* x.im y.re))
36.0ms	(* (* x.re y.im) (* x.re y.im))
32.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
67.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x.im y.re) (* x.im y.re))
34.0ms	(* (* x.re y.im) (* x.re y.im))
138.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
112.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify6.7s

Counts

133 → 133

Iterations

Iter	Nodes
3	12640
2	1731
1	408
0	157

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.im y.re) (* x.re y.im))
0.3b	(/ 1 (+ (* x.im y.re) (* x.re y.im)))
0.3b	(/ 1 (/ 1 (+ (* x.im y.re) (* x.re y.im))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
26×	`add-exp-log`
18×	`associate-/r*`
16×	`div-exp`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`rec-exp` `1-exp`
6×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow-flip` `add-log-exp`
4×	`cbrt-undiv`
3×	`insert-posit16` `inv-pow`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `remove-double-div`

Counts

3 → 140

Calls

3 calls:

15.0ms	(+ (* x.im y.re) (* x.re y.im))
17.0ms	(/ 1 (+ (* x.im y.re) (* x.re y.im)))
14.0ms	(/ 1 (/ 1 (+ (* x.im y.re) (* x.re y.im))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x.im y.re) (* x.re y.im))
35.0ms	(/ 1 (+ (* x.im y.re) (* x.re y.im)))
43.0ms	(/ 1 (/ 1 (+ (* x.im y.re) (* x.re y.im))))

simplify17.1s

Counts

149 → 149

Iterations

Iter	Nodes
4	4035
3	1728
2	795
1	436
0	176

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

10433×

body

valid