Details

sample42.0ms

Algorithm

intervals

Results

26.0ms

346×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
3	24
2	20
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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` `expm1-log1p-u` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `prod-diff` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 17

Calls

1 calls:

17.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify1.1s

Counts

20 → 20

Iterations

Iter	Nodes
done	2002
4	2002
3	970
2	324
1	108
0	40

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify991.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2011
6	2011
5	795
4	197
3	60
2	37
1	31
0	22

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.re) (* x.re y.re))
0.3b	(* (* x.im y.im) (* x.im y.im))
1.3b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.5b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite205.0ms

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×	`expm1-log1p-u` `pow-plus` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

4 → 131

Calls

4 calls:

34.0ms	(* (* x.re y.re) (* x.re y.re))
25.0ms	(* (* x.im y.im) (* x.im y.im))
50.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
95.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x.re y.re) (* x.re y.re))
49.0ms	(* (* x.im y.im) (* x.im y.im))
147.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
99.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify1.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	2016
3	2016
2	1856
1	454
0	169

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.im y.im) (* x.im y.im))
0.3b	(/ 1 (+ (* x.re y.re) (* x.im y.im)))
1.3b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.7b	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
29×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
18×	`pow-prod-down`
16×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `flip3--` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `pow-plus` `1-exp` `associate-l/` `-commutative` `flip-+` `div-inv` `difference-of-squares`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `swap-sqr` `prod-diff` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 137

Calls

4 calls:

43.0ms	(* (* x.im y.im) (* x.im y.im))
21.0ms	(/ 1 (+ (* x.re y.re) (* x.im y.im)))
42.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
159.0ms	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x.im y.im) (* x.im y.im))
42.0ms	(/ 1 (+ (* x.re y.re) (* x.im y.im)))
147.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
131.0ms	(* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))))

simplify1.1s

Counts

149 → 149

Iterations

Iter	Nodes
done	2000
2	2000
1	464
0	177

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes359.0ms

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	14
2	14
1	12
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10447×

body

valid