Details

sample60.0ms

Algorithm

intervals

Results

45.0ms

271×

body

valid

simplify73.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize34.0ms

Local error

Found 3 expressions with local error:

24.6b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0b	(- (* x.im y.re) (* x.re y.im))
0.0b	(+ (* y.re y.re) (* y.im y.im))

rewrite43.0ms

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

24.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(+ (* y.re y.re) (* y.im y.im))
7.0ms	(- (* x.im y.re) (* x.re y.im))

series215.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
72.0ms	(- (* x.im y.re) (* x.re y.im))
28.0ms	(+ (* y.re y.re) (* y.im y.im))

simplify1.3s

Counts: 67 → 67

prune678.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.1b

localize47.0ms

Local error

Found 4 expressions with local error:

27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
16.1b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0b	(- (* x.im y.re) (* x.re y.im))

rewrite74.0ms

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

40.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
19.0ms	(- (* x.im y.re) (* x.re y.im))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
60.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
60.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
52.0ms	(- (* x.im y.re) (* x.re y.im))

simplify1.2s

Counts: 102 → 102

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.0b

localize22.0ms

Local error

Found 4 expressions with local error:

24.1b	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
1.0b	(- (* x.im y.re) (* x.re y.im))
0.9b	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
0.0b	(+ (* y.re y.re) (* y.im y.im))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

Slowest

32.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
20.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
8.0ms	(+ (* y.re y.re) (* y.im y.im))
7.0ms	(- (* x.im y.re) (* x.re y.im))

series333.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
77.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
40.0ms	(- (* x.im y.re) (* x.re y.im))
32.0ms	(+ (* y.re y.re) (* y.im y.im))

simplify701.0ms

Counts: 154 → 154

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.0b

localize41.0ms

Local error

Found 4 expressions with local error:

28.7b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
28.7b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
16.1b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

34.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
9.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

187.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
113.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
106.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
67.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify909.0ms

Counts: 101 → 101

prune1.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.0b

regimes538.0ms

Accuracy

12.8% (2.2b remaining)

Error of 24.8b against oracle of 22.5b and baseline of 25.1b

bsearch10.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

8461×

body

valid