Details

Time bar (total: 4.8s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
done29
329
224
114
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize46.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
36.7b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
expm1-log1p-u flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 log1p-expm1-u
+-commutative rem-sqrt-square sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
2 → 34
Calls
2 calls:
8.0ms
(+ (* x x) (* y y))
50.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x x) (* y y))
155.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify534.0ms

Counts
40 → 40
Iterations
IterNodes
done2004
2608
1188
069

prune256.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.9b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(hypot (sqrt (+ (* x x) (* y y))) z)
32.7b
(sqrt (+ (* x x) (* y y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 *-un-lft-identity add-cube-cbrt
expm1-log1p-u add-cbrt-cube add-exp-log sqrt-prod insert-posit16 log1p-expm1-u
flip3-+ sqrt-div flip-+
+-commutative rem-sqrt-square hypot-udef sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
3 → 45
Calls
3 calls:
15.0ms
(+ (* x x) (* y y))
0.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
19.0ms
(sqrt (+ (* x x) (* y y)))

series335.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* y y))
223.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
76.0ms
(sqrt (+ (* x x) (* y y)))

simplify824.0ms

Counts
54 → 54
Iterations
IterNodes
done2000
31645
2422
1155
068

prune233.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot (hypot x y) z)
0.0b
(hypot x y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 hypot-udef *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
0.0ms
(hypot (hypot x y) z)
0.0ms
(hypot x y)

series317.0ms

Counts
2 → 6
Calls
2 calls:
246.0ms
(hypot (hypot x y) z)
71.0ms
(hypot x y)

simplify527.0ms

Counts
28 → 28
Iterations
IterNodes
done2001
8861
7340
6175
5105
467
352
245
140
032

prune102.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes189.0ms

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

sample1.0s

Algorithm
intervals
Results
811.0ms8000×body80valid