Details

Time bar (total: 11.9s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms95×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
056
175
done75

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize4.0ms

Local error

Found 1 expressions with local error:

22.2b
(sqrt (+ (* x x) y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u add-log-exp
Counts
1 → 18
Calls
1 calls:
10.0ms
(sqrt (+ (* x x) y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(sqrt (+ (* x x) y))

simplify5.7s

Counts
21 → 21
Iterations

Useful iterations: 5 (1.4s)

IterNodesCost
053209
1125169
2288152
3586150
41145149
52076148
64798148
done5000148

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ y x) 1/2 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:
1.0ms
(fma (/ y x) 1/2 x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma (/ y x) 1/2 x)

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
017110
124107
25195
316695
461695
5272095
done500095

prune30.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (/ y x) 1/2 x)

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
017110
124107
25195
316695
461695
5272095
done500095

prune24.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.8b

bsearch48.0ms

Steps
ItersRangePoint
9
2.1173889327764862e+51
3.0808949519187803e+60
3.033028245644472e+60
8
-6.95915484922881e+154
-1.7823560209681223e+152
-1.3390930656537421e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11627
done1627

end0.0ms

sample515.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid
57.0ms2681×body80nan