Details

Time bar (total: 4.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
37.7b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow1 fma-def sum-log
3×add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube 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:
16.0ms
(+ (+ (* x x) (* y y)) (* z z))
3.0ms
(+ (* x x) (* y y))
14.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ (* x x) (* y y)) (* z z))
27.0ms
(+ (* x x) (* y y))
103.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.5s

Counts
59 → 59
Iterations

Useful iterations: 3 (416.0ms)

IterNodesCost
080808
1224673
2842586
33546574
done5001574

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
33.8b
(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x x) (* y y))
4.0ms
(sqrt (+ (* x x) (* y y)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* x x) (* y y))
41.0ms
(sqrt (+ (* x x) (* y y)))

simplify1.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (233.0ms)

IterNodesCost
052413
1135285
2487237
31865233
done5001233

prune99.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample383.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid