Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0146
1256
2316
3326
4326
done326

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize8.0ms

Local error

Found 1 expressions with local error:

35.9b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp
Counts
1 → 18
Calls
1 calls:
34.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify124.0ms

Counts
21 → 21
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
096156
1305148
21103148
34548148
45001148
done5001148

prune72.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot (sqrt (+ (* x x) (* y y))) z)
31.5b
(sqrt (+ (* x x) (* y y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u add-log-exp
rem-sqrt-square hypot-udef sqrt-pow1 flip3-+ pow1/2 flip-+ hypot-def
Counts
2 → 28
Calls
2 calls:
0.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
8.0ms
(sqrt (+ (* x x) (* y y)))

series233.0ms

Counts
2 → 6
Calls
2 calls:
191.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
42.0ms
(sqrt (+ (* x x) (* y y)))

simplify69.0ms

Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0114180
1282163
2660163
31620163
45001163
done5001163

prune98.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot (* (sqrt 1) (hypot x y)) z)

rewrite1.0ms

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

series220.0ms

Counts
1 → 3
Calls
1 calls:
220.0ms
(hypot (* (sqrt 1) (hypot x y)) z)

simplify145.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
03769
15860
27757
312856
422856
529456
683056
7253456
8500256
done500256

prune39.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114
done114

end0.0ms

sample437.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid