Details

sample49.0ms

Algorithm

intervals

Results

27.0ms

339×

body

valid

simplify18.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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` `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:

Slowest

10.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

88.0ms

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

simplify1.2s

Counts: 20 → 20

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

25.3b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
1.2b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
0.2b	(* (* x.im y.im) (* x.im y.im))
0.2b	(* (* x.re y.re) (* x.re y.re))

rewrite234.0ms

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:

Slowest

111.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
56.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
38.0ms	(* (* x.re y.re) (* x.re y.re))
26.0ms	(* (* x.im y.im) (* x.im y.im))

series369.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
143.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
41.0ms	(* (* x.im y.im) (* x.im y.im))
37.0ms	(* (* x.re y.re) (* x.re y.re))

simplify512.0ms

Counts: 143 → 143

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(sqrt (+ (* x.re y.re) (* x.im y.im)))
0.7b	(sqrt (+ (* x.re y.re) (* x.im y.im)))
0.6b	(/ (- (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
0.6b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
30×	`sqrt-prod`
12×	`associate-/r*`
9×	`pow1`
8×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
6×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `div-exp` `div-inv` `pow-div`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 131

Calls

4 calls:

Slowest

47.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
38.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
12.0ms	(sqrt (+ (* x.re y.re) (* x.im y.im)))
7.0ms	(sqrt (+ (* x.re y.re) (* x.im y.im)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

257.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
138.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
110.0ms	(sqrt (+ (* x.re y.re) (* x.im y.im)))
97.0ms	(sqrt (+ (* x.re y.re) (* x.im y.im)))

simplify2.2s

Counts: 143 → 143

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

783.0ms

10509×

body

valid