Details

sample51.0ms

Algorithm

intervals

Results

36.0ms

274×

body

valid

simplify87.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize41.0ms

Local error

Found 3 expressions with local error:

24.9b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.5b	(- (* x.im y.re) (* x.re y.im))
0.0b	(+ (* y.re y.re) (* y.im y.im))

rewrite44.0ms

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`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

Slowest

21.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(- (* x.im y.re) (* x.re y.im))
11.0ms	(+ (* y.re y.re) (* y.im y.im))

series202.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

105.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
55.0ms	(- (* x.im y.re) (* x.re y.im))
42.0ms	(+ (* y.re y.re) (* y.im y.im))

simplify1.1s

Counts: 67 → 67

prune646.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.4b

localize28.0ms

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)))
14.6b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.5b	(- (* x.im y.re) (* x.re y.im))

rewrite85.0ms

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`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

46.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
14.0ms	(- (* x.im y.re) (* x.re y.im))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
59.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
51.0ms	(- (* x.im y.re) (* x.re y.im))
43.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.0s

Counts: 102 → 102

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.6b

localize31.0ms

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)))
14.7b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
0.5b	(- (* x.im y.re) (* x.re y.im))

rewrite83.0ms

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`
4×	`insert-posit16`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

Slowest

44.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
15.0ms	(- (* x.im y.re) (* x.re y.im))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
10.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
69.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
52.0ms	(- (* x.im y.re) (* x.re y.im))
48.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify932.0ms

Counts: 101 → 101

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.6b

localize75.0ms

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)))
15.3b	(cbrt (- (* x.im y.re) (* x.re y.im)))
15.3b	(cbrt (- (* x.im y.re) (* x.re y.im)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`cbrt-div` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `pow1/3` `flip-+` `flip--`

Counts

4 → 60

Calls

4 calls:

Slowest

12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
10.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
5.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
147.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
58.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
47.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify759.0ms

Counts: 72 → 72

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 21.6b

regimes896.0ms

Accuracy

0% (2.6b remaining)

Error of 25.7b against oracle of 23.1b and baseline of 25.7b

bsearch5.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8485×

body

valid