Details

Time bar (total: 1.8s)

sample32.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0146
1256
2316
3326
4326

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
34.3b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 fma-def sum-log sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def
Counts
2 → 36
Calls
2 calls:
13.0ms
(+ (+ (* x x) (* y y)) (* z z))
15.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (+ (* x x) (* y y)) (* z z))
112.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0152287
1659259
22778251
35002248

prune131.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 11.8b

localize8.0ms

Local error

Found 1 expressions with local error:

28.2b
(sqrt (+ (* x x) (* y y)))

rewrite4.0ms

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:
4.0ms
(sqrt (+ (* x x) (* y y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(sqrt (+ (* x x) (* y y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
098103
125498
261998
3157398
4500198

prune68.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x y)

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 x y)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(hypot x y)

simplify127.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124

prune39.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample890.0ms

Algorithm
intervals
Results
709.0ms8000×body80valid