Details

Time bar (total: 16.6s)

sample36.0ms

Algorithm
intervals
Results
18.0ms469×body80valid

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
351
229
114
07

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

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-+ log1p-expm1-u
2×associate-+l+
Counts
3 → 51
Calls
3 calls:
11.0ms
(+ (* x x) (* y y))
47.0ms
(+ (+ (* x x) (* y y)) (* y y))
104.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series160.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x x) (* y y))
62.0ms
(+ (+ (* x x) (* y y)) (* y y))
46.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.4s

Counts
60 → 60
Iterations
IterNodes
done5002
21763
1276
076

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 3 (* y y) (* x x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma 3 (* y y) (* x x))

simplify9.1s

Counts
13 → 13
Iterations
IterNodes
done5000
44545
3521
2118
137
021

prune78.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 3) y))
0.2b
(* (* y 3) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* y 3) y))
13.0ms
(* (* y 3) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(fma x x (* (* y 3) y))
32.0ms
(* (* y 3) y)

simplify665.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2681
1122
053

prune134.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.2b
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
5.4b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.4b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-log-exp
7×*-un-lft-identity add-cube-cbrt
6×pow1 sqrt-prod
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
3×sum-log fma-def flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×+-commutative associate-+l+ fma-udef
Counts
4 → 64
Calls
4 calls:
40.0ms
(+ (+ (* x x) (* y y)) (* y y))
0.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
25.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
46.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (+ (* x x) (* y y)) (* y y))
162.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
63.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
92.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify1.0s

Counts
76 → 76
Iterations
IterNodes
done5002
21055
1198
076

prune359.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
807.0ms14096×body80valid