Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0146
1256
2316
3326
4326

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.0b
(+ (* x x) (* y y))
38.0b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 fma-def sum-log
add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u
+-commutative sqrt-div
rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 hypot-def
Counts
3 → 50
Calls
3 calls:
14.0ms
(+ (+ (* x x) (* y y)) (* z z))
3.0ms
(+ (* x x) (* y y))
15.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (+ (* x x) (* y y)) (* z z))
27.0ms
(+ (* x x) (* y y))
99.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0225355
11043323
23749312
35001309

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(hypot (sqrt (+ (* x x) (* y y))) z)
29.5b
(sqrt (+ (* x x) (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u
flip3-+ sqrt-div flip-+
+-commutative rem-sqrt-square hypot-udef fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
3 → 42
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
0.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms
(sqrt (+ (* x x) (* y y)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x x) (* y y))
156.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
37.0ms
(sqrt (+ (* x x) (* y y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0152254
1617227
21802223
35002221

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot x y)
0.0b
(hypot (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
2 → 20
Calls
2 calls:
0.0ms
(hypot x y)
0.0ms
(hypot (hypot x y) z)

series231.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(hypot x y)
182.0ms
(hypot (hypot x y) z)

simplify108.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03868
14360
24960
35760
48560
515960
666060
7220060
8500160

prune66.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample384.0ms

Algorithm
intervals
Results
225.0ms8001×body80valid