Details

Time bar (total: 8.8s)

sample156.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
37.0ms767×body80nan

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite71.0ms

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-cbrt-cube pow-prod-down add-exp-log
sqrt-pow1 pow1/2 sqrt-div associate-*l/
expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
44.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.6s

Counts
39 → 39
Iterations

Useful iterations: done (3.6s)

IterNodesCost
085403
1198375
2699356
33995351
done5000350

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- x 1.0))
31.5b
(sqrt (* x (- x 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1
associate-*r*
add-cbrt-cube associate-*r/ add-exp-log
associate-*l*
expm1-log1p-u sub-neg sqrt-pow1 flip3-- sqrt-div pow-prod-down log1p-expm1-u flip-- add-log-exp
pow1/2 prod-exp *-commutative sqrt-prod cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 61
Calls
2 calls:
22.0ms
(* x (- x 1.0))
14.0ms
(sqrt (* x (- x 1.0)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* x (- x 1.0))
78.0ms
(sqrt (* x (- x 1.0)))

simplify1.0s

Counts
67 → 67
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0132889
1310707
21307581
done5000556

prune223.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.1s24314×body80nan
441.0ms7998×body80valid
0.0msbody160valid