Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

324×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	11
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.re) (* x.im y.im))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

9.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5003
4	1739
3	724
2	263
1	92
0	33

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.re) (* x.im y.im))
0.0b	(+ (* x.re y.re) (* x.im y.im))
0.3b	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
27.9b	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`flip3-+` `flip-+`
8×	`frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp` `associate-/l/`
6×	`pow1` `flip3--` `flip--`
4×	`associate-l/` `associate-r/`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

9.0ms	(+ (* x.re y.re) (* x.im y.im))
11.0ms	(+ (* x.re y.re) (* x.im y.im))
53.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
49.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* x.re y.re) (* x.im y.im))
51.0ms	(+ (* x.re y.re) (* x.im y.im))
146.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
58.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5040
2	2551
1	385
0	118

prune382.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
15×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`pow1` `flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`frac-times` `cbrt-undiv` `+-commutative` `sum-log` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

4 → 92

Calls

4 calls:

78.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
10.0ms	(+ (* x.re y.re) (* x.im y.im))
9.0ms	(+ (* x.re y.re) (* x.im y.im))
34.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
38.0ms	(+ (* x.re y.re) (* x.im y.im))
45.0ms	(+ (* x.re y.re) (* x.im y.im))
67.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

simplify2.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2127
1	361
0	119

prune615.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes427.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample848.0ms

Algorithm

intervals

Results

364.0ms

10433×

body

valid