Details

Time bar (total: 10.3s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms92×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
05122
1797
done797

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
17.7b
(sqrt (+ (* x x) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-log-exp
pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
expm1-log1p-u flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ log1p-expm1-u
+-commutative rem-sqrt-square sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
2 → 32
Calls
2 calls:
6.0ms
(+ (* x x) y)
8.0ms
(sqrt (+ (* x x) y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x x) y)
56.0ms
(sqrt (+ (* x x) y))

simplify787.0ms

Counts
38 → 38
Iterations

Useful iterations: done (785.0ms)

IterNodesCost
0638278
11635811
27385646
done50005606

prune144.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt (fma x x y)) (fma x x y))
17.7b
(sqrt (fma x x y))
31.3b
(cbrt (* (sqrt (fma x x y)) (fma x x y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
*-un-lft-identity add-cube-cbrt sqrt-prod
associate-*l*
add-cbrt-cube add-exp-log
expm1-log1p-u sqrt-pow1 pow1/2 associate-*r* log1p-expm1-u add-log-exp
pow-plus cube-unmult pow-prod-up fma-udef unswap-sqr
cbrt-prod distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 58
Calls
3 calls:
8.0ms
(* (sqrt (fma x x y)) (fma x x y))
1.0ms
(sqrt (fma x x y))
4.0ms
(cbrt (* (sqrt (fma x x y)) (fma x x y)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* (sqrt (fma x x y)) (fma x x y))
52.0ms
(sqrt (fma x x y))
54.0ms
(cbrt (* (sqrt (fma x x y)) (fma x x y)))

simplify1.0s

Counts
67 → 67
Iterations

Useful iterations: done (1.0s)

IterNodesCost
09315517
121212793
292212483
done500010853

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 1/2 (/ y x) x)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma 1/2 (/ y x) x)

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0161994
1211919
2481919
31571919
46921919
538751919
done50001919

prune43.0ms

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

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma 1/2 (/ y x) x)

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0161994
1211919
2481919
31571919
46921919
538751919
done50001919

prune57.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes311.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch78.0ms

Steps
ItersRangePoint
11
1.8832230334659124e+24
1.4313346338374724e+48
1.4171690306065683e+48
9
-1.951179920997044e+156
-6.518035068066237e+150
-1.3378267015828925e+154

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015520
116520
done16520

end0.0ms

sample920.0ms

Algorithm
intervals
Results
418.0ms2523×body80nan
272.0ms8000×body80valid