Details

sample41.0ms

Algorithm

intervals

Results

27.0ms

271×

body

valid

simplify9.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize21.0ms

Local error

Found 3 expressions with local error:

23.4b	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.3b	(+ (* x.re y.re) (* x.im y.im))
0.0b	(+ (* y.re y.re) (* y.im y.im))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 56

Calls

3 calls:

Slowest

52.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
20.0ms	(+ (* y.re y.re) (* y.im y.im))
14.0ms	(+ (* x.re y.re) (* x.im y.im))

series239.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

134.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
62.0ms	(+ (* x.re y.re) (* x.im y.im))
43.0ms	(+ (* y.re y.re) (* y.im y.im))

simplify1.2s

Counts: 65 → 65

prune744.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.0b

localize32.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
14.2b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.3b	(+ (* x.re y.re) (* x.im y.im))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

54.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
14.0ms	(+ (* x.re y.re) (* x.im y.im))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
9.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
45.0ms	(+ (* x.re y.re) (* x.im y.im))
44.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
38.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.2s

Counts: 100 → 100

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.3b

localize34.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
14.2b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
0.3b	(+ (* x.re y.re) (* x.im y.im))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/r*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

35.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
22.0ms	(+ (* x.re y.re) (* x.im y.im))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
59.0ms	(+ (* x.re y.re) (* x.im y.im))
59.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
39.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts: 100 → 100

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.3b

localize38.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
26.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
14.2b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.3b	(+ (* x.re y.re) (* x.im y.im))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

32.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(+ (* x.re y.re) (* x.im y.im))
7.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
52.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
45.0ms	(+ (* x.re y.re) (* x.im y.im))
41.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts: 100 → 100

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.3b

regimes676.0ms

Accuracy

0% (2.5b remaining)

Error of 25.7b against oracle of 23.2b and baseline of 25.7b

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8474×

body

valid