Details

Time bar (total: 12.2s)

sample198.0ms

Algorithm
intervals
Results
45.0ms818×body80nan
11.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
067
197
2107
done107

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
associate-*l*
*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt
unswap-sqr
add-exp-log pow-prod-down add-cbrt-cube
sqrt-pow1 pow1/2 sqrt-div associate-*l/
expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
56.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series112.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify4.6s

Counts
39 → 39
Iterations

Useful iterations: done (4.6s)

IterNodesCost
085403
1188370
2451354
31053351
42875350
done5002348

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

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

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

27.6b
(pow (* (- x 1.0) x) 1/2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log
pow-unpow
add-sqr-sqrt add-cube-cbrt pow-pow *-un-lft-identity pow-exp
expm1-log1p-u pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube log1p-expm1-u unpow1/2 add-log-exp sqr-pow
Counts
1 → 20
Calls
1 calls:
12.0ms
(pow (* (- x 1.0) x) 1/2)

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(pow (* (- x 1.0) x) 1/2)

simplify3.6s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
064264
1154226
2360205
31053189
44460182
done5000182

prune51.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.9s23600×body80nan
605.0ms7992×body80valid
1.0msbody160valid