Details

Time bar (total: 10.4s)

sample348.0ms

Algorithm
intervals
Results
135.0ms848×body80nan
74.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06162
19162
210162
done10162

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:
25.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series118.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: done (2.7s)

IterNodesCost
08510223
11988952
26998815
339958735
done50008661

prune176.0ms

Pruning

2 alts after pruning (2 fresh and 0 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

prune4.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

28.7b
(sqrt (* (- x 1.0) x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1
sqrt-pow1 sqrt-div associate-*l/
add-sqr-sqrt expm1-log1p-u *-un-lft-identity flip3-- add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod log1p-expm1-u flip-- add-log-exp
Counts
1 → 15
Calls
1 calls:
8.0ms
(sqrt (* (- x 1.0) x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(sqrt (* (- x 1.0) x))

simplify4.2s

Counts
18 → 18
Iterations

Useful iterations: done (4.2s)

IterNodesCost
0534106
11223186
23883114
321093074
done50003024

prune54.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
06123
17123
done7123

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s23462×body80nan
314.0ms7990×body80valid
1.0ms10×body160valid