Details

sample210.0ms

Algorithm

intervals

Results

30.0ms	200×	body	80	valid
24.0ms	26×	body	2560	valid
13.0ms	10×	body	5120	valid
8.0ms	11×	body	1280	valid
3.0ms	4×	body	640	valid
1.0ms	3×	body	160	valid
1.0ms	2×	body	320	valid

simplify120.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize25.0ms

Local error

Found 4 expressions with local error:

29.1b	(sqrt (+ (* re re) (* im im)))
0.7b	(- (sqrt (+ (* re re) (* im im))) re)
0.0b	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
0.0b	(+ (* re re) (* im im))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`pow1` `add-log-exp`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt` `sqrt-prod`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`sqrt-pow1`
2×	`flip3-+` `flip3--` `pow1/2` `associate-*r/` `flip-+` `flip--` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sub-neg` `diff-log` `pow-prod-down` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

Slowest

37.0ms	(- (sqrt (+ (* re re) (* im im))) re)
21.0ms	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
8.0ms	(sqrt (+ (* re re) (* im im)))
7.0ms	(+ (* re re) (* im im))

series438.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

260.0ms	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
76.0ms	(sqrt (+ (* re re) (* im im)))
67.0ms	(- (sqrt (+ (* re re) (* im im))) re)
36.0ms	(+ (* re re) (* im im))

simplify831.0ms

Counts: 70 → 70

prune786.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.5b

localize49.0ms

Local error

Found 4 expressions with local error:

29.1b	(sqrt (+ (* re re) (* im im)))
29.1b	(sqrt (+ (* re re) (* im im)))
6.3b	(- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
0.5b	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
51×	`add-sqr-sqrt`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
8×	`flip3-+` `flip-+`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `insert-posit16`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

Slowest

68.0ms	(- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
66.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
13.0ms	(sqrt (+ (* re re) (* im im)))
12.0ms	(sqrt (+ (* re re) (* im im)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
55.0ms	(sqrt (+ (* re re) (* im im)))
49.0ms	(sqrt (+ (* re re) (* im im)))
44.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))

simplify2.9s

Counts: 142 → 142

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.2b

localize55.0ms

Local error

Found 4 expressions with local error:

29.1b	(sqrt (+ (* re re) (* im im)))
29.1b	(sqrt (+ (* re re) (* im im)))
29.1b	(sqrt (+ (* re re) (* im im)))
29.1b	(sqrt (+ (* re re) (* im im)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

Slowest

10.0ms	(sqrt (+ (* re re) (* im im)))
10.0ms	(sqrt (+ (* re re) (* im im)))
10.0ms	(sqrt (+ (* re re) (* im im)))
8.0ms	(sqrt (+ (* re re) (* im im)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(sqrt (+ (* re re) (* im im)))
63.0ms	(sqrt (+ (* re re) (* im im)))
54.0ms	(sqrt (+ (* re re) (* im im)))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.8s

Counts: 76 → 76

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 16.2b

localize12.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune1.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 16.2b

regimes224.0ms

Accuracy

41.8% (11.9b remaining)

Error of 29.6b against oracle of 17.8b and baseline of 38.1b

bsearch257.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	6009×	body	80	valid
610.0ms	687×	body	2560	valid
320.0ms	526×	body	1280	valid
271.0ms	301×	body	5120	valid
161.0ms	250×	body	640	valid
53.0ms	149×	body	320	valid
16.0ms	78×	body	160	valid