Details

Time bar (total: 8.6s)

sample208.0ms

Algorithm
intervals
Results
53.0ms846×body80nan
13.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
197
2107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
31.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series97.0ms

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

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: done (3.0s)

IterNodesCost
085403
1197376
2689356
33842351
done5000350

prune160.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

30.1b
(sqrt (* x (- x 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
pow1
sqrt-pow1 sqrt-div associate-*r/
add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
23.0ms
(sqrt (* x (- x 1.0)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(sqrt (* x (- x 1.0)))

simplify1.6s

Counts
18 → 18
Iterations

Useful iterations: done (1.6s)

IterNodesCost
053168
1120151
2391141
32085139
done5001138

prune84.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.0s24339×body80nan
475.0ms7993×body80valid
3.0msbody160valid