Details

Time bar (total: 9.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0912
11411
22410
33010
done3010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
32.7b
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
18.0ms
(+ (* x x) (* y y))
71.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x x) (* y y))
199.0ms
(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.8s

Counts
38 → 38
Iterations

Useful iterations: done (1.8s)

IterNodesCost
067513
1185411
2571367
31672359
done5000358

prune177.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 12.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
24.3b
(sqrt (+ (* x x) (* y y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
17.0ms
(+ (* x x) (* y y))
26.0ms
(sqrt (+ (* x x) (* y y)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x x) (* y y))
56.0ms
(sqrt (+ (* x x) (* y y)))

simplify3.1s

Counts
38 → 38
Iterations

Useful iterations: 3 (384.0ms)

IterNodesCost
052413
1134285
2396237
31156233
43429233
done5000233

prune214.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(hypot x y)

simplify2.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01760
12258
22552
33052
43652
54652
66752
714652
843152
9184152
done500152

prune70.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
077
1105
done105

end0.0ms

sample1.3s

Algorithm
intervals
Results
951.0ms8000×body80valid