Details

Time bar (total: 1.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify10.0ms

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: 37.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
34.5b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite67.0ms

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:
34.0ms
(+ (+ (* x x) (* y y)) (* z z))
32.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (+ (* x x) (* y y)) (* z z))
96.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0152287
1659259
22778251
35002248

prune183.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 11.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot (sqrt (+ (* x x) (* y y))) z)
28.8b
(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)))

series187.0ms

Counts
2 → 6
Calls
2 calls:
153.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
34.0ms
(sqrt (+ (* x x) (* y y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0114180
1282163
2660163
31620163
45001163

prune123.0ms

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)

series175.0ms

Counts
1 → 3
Calls
1 calls:
175.0ms
(hypot (* (sqrt 1) (hypot x y)) z)

simplify124.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
03769
15860
27757
312856
422856
529456
683056
7253456
8500256

prune47.0ms

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
0114
1114

end0.0ms

sample452.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid