Details

Time bar (total: 8.4s)

sample160.0ms

Algorithm
intervals
Results
44.0ms700×body80nan
14.0ms256×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:
29.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series140.0ms

Counts
1 → 3
Calls
1 calls:
140.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: done (2.7s)

IterNodesCost
085403
1197376
2689356
33842351
done5000350

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune4.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

30.5b
(pow (* x (- x 1.0)) 1/2)

rewrite21.0ms

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:
21.0ms
(pow (* x (- x 1.0)) 1/2)

series164.0ms

Counts
1 → 3
Calls
1 calls:
164.0ms
(pow (* x (- x 1.0)) 1/2)

simplify1.6s

Counts
23 → 23
Iterations

Useful iterations: done (1.6s)

IterNodesCost
064264
1170229
2567205
32498189
done5001184

prune61.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
177
done77

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.1s23875×body80nan
355.0ms7994×body80valid
0.0msbody160valid