Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

324×

body

valid

simplify7.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

16.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2549
3	890
2	281
1	92
0	33

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite102.0ms

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:

6.0ms	(+ (* x.re y.re) (* x.im y.im))
6.0ms	(+ (* 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)))
39.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x.re y.re) (* x.im y.im))
36.0ms	(+ (* x.re y.re) (* x.im y.im))
113.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
42.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	3579
1	385
0	118

prune481.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
23×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-r`
13×	`associate-l`
8×	`div-exp` `add-log-exp`
6×	`pow1` `prod-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`flip3-+` `associate-/r/` `cbrt-unprod` `flip-+`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`+-commutative` `sum-log` `1-exp` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 110

Calls

4 calls:

82.0ms	(* (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (- (* 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))
10.0ms	(+ (* 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)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
41.0ms	(+ (* x.re y.re) (* x.im y.im))
57.0ms	(+ (* x.re y.re) (* x.im y.im))
64.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
1	524
0	157

prune643.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes463.0ms

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

sample966.0ms

Algorithm

intervals

Results

516.0ms

10433×

body

valid