Details

Time bar (total: 7.0s)

sample31.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done31
331
224
114
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
36.1b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×pow1 sum-log fma-def
3×expm1-log1p-u flip3-+ add-cbrt-cube add-exp-log sqrt-prod flip-+ log1p-expm1-u
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def
Counts
3 → 50
Calls
3 calls:
28.0ms
(+ (+ (* x x) (* y y)) (* z z))
13.0ms
(+ (* x x) (* y y))
31.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (+ (* x x) (* y y)) (* z z))
53.0ms
(+ (* x x) (* y y))
142.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify897.0ms

Counts
59 → 59
Iterations
IterNodes
done5000
21572
1253
080

prune334.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 14.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
30.7b
(sqrt (+ (* x x) (* y y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×expm1-log1p-u flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ log1p-expm1-u
1×+-commutative rem-sqrt-square sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
2 → 32
Calls
2 calls:
6.0ms
(+ (* x x) (* y y))
7.0ms
(sqrt (+ (* x x) (* y y)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x x) (* y y))
57.0ms
(sqrt (+ (* x x) (* y y)))

simplify693.0ms

Counts
38 → 38
Iterations
IterNodes
done5001
2823
1151
052

prune257.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x y)

rewrite1.0ms

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

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(hypot x y)

simplify1.2s

Counts
13 → 13
Iterations
IterNodes
done5001
81049
7324
6141
572
438
330
225
122
017

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x y)
0.0b
(sqrt (hypot x y))
0.0b
(sqrt (hypot x y))
0.5b
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 hypot-udef rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
0.0ms
(hypot x y)
2.0ms
(sqrt (hypot x y))
2.0ms
(sqrt (hypot x y))
16.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(hypot x y)
135.0ms
(sqrt (hypot x y))
126.0ms
(sqrt (hypot x y))
80.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done5000
2768
1191
086

prune433.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample842.0ms

Algorithm
intervals
Results
502.0ms8000×body80valid