Details

sample40.0ms

Algorithm

intervals

Results

27.0ms

459×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 54

Calls

3 calls:

33.0ms	(+ (+ (* x x) (* y y)) (* y y))
9.0ms	(+ (* x x) (* y y))
135.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (* x x) (* y y)) (* y y))
32.0ms	(+ (* x x) (* y y))
43.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4942
2	864
1	252
0	79

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 y) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

26.0ms

(* (* 3 y) y)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (* 3 y) y)

simplify1.4s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
3	1268
2	330
1	105
0	39

prune68.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.2b	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
5.8b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.8b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`+-commutative` `sum-log` `fma-def` `fma-udef`

Counts

4 → 64

Calls

4 calls:

14.0ms	(+ (* x x) (* y y))
0.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
33.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
40.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x x) (* y y))
156.0ms	(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
56.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
71.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify2.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	2797
2	617
1	202
0	84

prune348.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 y) y)
0.3b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
19.0b	(sqrt (* (* 3 y) y))
19.0b	(sqrt (* (* 3 y) y))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

32.0ms	(* (* 3 y) y)
158.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
26.0ms	(sqrt (* (* 3 y) y))
15.0ms	(sqrt (* (* 3 y) y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* 3 y) y)
127.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
47.0ms	(sqrt (* (* 3 y) y))
52.0ms	(sqrt (* (* 3 y) y))

simplify1.7s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
3	1981
2	556
1	222
0	90

prune455.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

937.0ms

14092×

body

valid