Details

Time bar (total: 5.0s)

sample356.0ms

Algorithm
intervals
Results
18.0ms765×body80nan
5.0ms256×body80valid

simplify40.0ms

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))

rewrite29.0ms

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/
flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
27.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify1.9s

Counts
37 → 37
Iterations

Useful iterations: done (1.9s)

IterNodesCost
083387
1181354
2435338
3983335
42401334
done5001332

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- x 1.0))
30.6b
(pow (* x (- x 1.0)) 1/2)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log *-un-lft-identity
add-cube-cbrt associate-*r*
add-cbrt-cube
pow-unpow associate-*l*
distribute-rgt-in sub-neg pow-pow distribute-lft-in associate-*r/ pow-prod-down pow-exp prod-exp add-log-exp
pow-to-exp unpow-prod-down flip3-- *-commutative flip-- cbrt-unprod distribute-lft-out-- unpow1/2 difference-of-squares unswap-sqr sqr-pow
Counts
2 → 44
Calls
2 calls:
20.0ms
(* x (- x 1.0))
10.0ms
(pow (* x (- x 1.0)) 1/2)

series142.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (- x 1.0))
97.0ms
(pow (* x (- x 1.0)) 1/2)

simplify1.1s

Counts
50 → 50
Iterations

Useful iterations: done (1.1s)

IterNodesCost
099465
1237424
2607378
32044361
done5002358

prune73.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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

sample1.1s

Algorithm
intervals
Results
551.0ms24300×body80nan
147.0ms7994×body80valid
0.0msbody160valid