Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

329×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
1	10
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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-+`

Counts

1 → 11

Calls

1 calls:

7.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify2.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	3472
3	1101
2	349
1	101
0	32

prune90.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite70.0ms

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` `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 → 87

Calls

4 calls:

56.0ms	(* (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)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
146.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
161.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
134.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1076
1	335
0	126

prune662.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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)))
8.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
184.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
128.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
159.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1323
2	468
1	180
0	67

prune567.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes497.0ms

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
done	10
1	10
0	7

end0.0ms

sample902.0ms

Algorithm

intervals

Results

409.0ms

10438×

body

valid