Details

Time bar (total: 12.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms95×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
056
175
done75

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
19.4b
(sqrt (+ (* x x) y))

rewrite31.0ms

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:
12.0ms
(+ (* x x) y)
11.0ms
(sqrt (+ (* x x) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* x x) y)
51.0ms
(sqrt (+ (* x x) y))

simplify4.3s

Counts
38 → 38
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
063345
1163287
2694250
34984248
done5000248

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/2 (/ y x) x)

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma 1/2 (/ y x) x)

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
016110
121107
24895
315795
468395
5384095
done500095

prune30.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ y x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/2 (/ y x) x)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma 1/2 (/ y x) x)

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
016110
121107
24895
315795
468395
5384095
done500095

prune34.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes173.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.6b

bsearch64.0ms

Steps
ItersRangePoint
8
6.056441033543998e+122
1.53950547797117e+126
8.970759006124064e+123
6
-2.34437933648138e+154
-5.198860796817705e+153
-1.3545742274115277e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11627
done1627

end0.0ms

sample819.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
154.0ms2612×body80nan