Details

Time bar (total: 1.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0146
1256
2316
3326
4326

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
35.8b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite31.0ms

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:
13.0ms
(+ (+ (* x x) (* y y)) (* z z))
3.0ms
(+ (* x x) (* y y))
14.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ (* x x) (* y y)) (* z z))
26.0ms
(+ (* x x) (* y y))
101.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0225355
11043323
23749312
35001309

prune151.0ms

Filtered
59 candidates to 49 candidates (83.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 11.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
28.4b
(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:
2.0ms
(+ (* x x) (* y y))
3.0ms
(sqrt (+ (* x x) (* y y)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x x) (* y y))
34.0ms
(sqrt (+ (* x x) (* y y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0136177
1589162
21761158
35002156

prune96.0ms

Filtered
38 candidates to 32 candidates (84.2%)
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

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052

end0.0ms

sample389.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid