Details

Time bar (total: 4.1s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
2.0ms86×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
056
175
done75

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize4.0ms

Local error

Found 1 expressions with local error:

20.3b
(sqrt (fma x x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fma x x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(sqrt (fma x x y))

simplify1.4s

Counts
18 → 18
Iterations

Useful iterations: 4 (284.0ms)

IterNodesCost
037145
175127
2188120
3552118
41890104
done5000104

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

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)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(fma (/ y x) 1/2 x)

simplify962.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
017110
123107
25395
314195
449095
5193695
done500195

prune28.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

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)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y x) 1/2 x)

simplify948.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
017110
123107
25395
314195
449095
5193695
done500195

prune22.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch48.0ms

Steps
ItersRangePoint
8
7.789038224997725e+107
1.262008322990991e+112
1.2357322782900815e+112
10
-1.4120878331876276e+156
-2.4047927607493394e+144
-1.3285272782249076e+154

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
done1426

end0.0ms

sample383.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid
50.0ms2706×body80nan