Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×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: 37.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(+ (+ (* x x) (* y y)) (* z z))
34.8b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite22.0ms

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:
8.0ms
(+ (* x x) (* y y))
6.0ms
(+ (+ (* x x) (* y y)) (* z z))
6.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* x x) (* y y))
42.0ms
(+ (+ (* x x) (* y y)) (* z z))
117.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0225355
11043323
23749312
35001309

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 12.5b

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)
28.6b
(sqrt (+ (* x x) (* y y)))

rewrite10.0ms

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:
4.0ms
(+ (* x x) (* y y))
1.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms
(sqrt (+ (* x x) (* y y)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* x x) (* y y))
186.0ms
(hypot (sqrt (+ (* x x) (* y y))) z)
37.0ms
(sqrt (+ (* x x) (* y y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0152255
1617227
21802223
35002221

prune148.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot (* 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:
1.0ms
(hypot (* 1 (hypot x y)) z)

series195.0ms

Counts
1 → 3
Calls
1 calls:
195.0ms
(hypot (* 1 (hypot x y)) z)

simplify111.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03655
14746
26346
311646
434146
5139546
6500146

prune42.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1123
2123

end0.0ms

sample426.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid