Details

Time bar (total: 14.5s)

sample177.0ms

Algorithm
intervals
Results
48.0ms818×body80nan
11.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune151.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite114.0ms

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:
108.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series100.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: done (3.3s)

IterNodesCost
083387
1181354
2435338
3983335
42401334
done5001332

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (+ 0.5 (/ 0.125 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
add-sqr-sqrt
diff-log distribute-lft-out--
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 17
Calls
1 calls:
30.0ms
(- x (+ 0.5 (/ 0.125 x)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify3.4s

Counts
20 → 20
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
042229
1102220
2261200
3885200
43740200
done5002200

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

27.6b
(pow (* x (- x 1.0)) 1/2)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log
pow-unpow
add-sqr-sqrt add-cube-cbrt pow-pow *-un-lft-identity pow-exp
pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube unpow1/2 add-log-exp sqr-pow
Counts
1 → 18
Calls
1 calls:
27.0ms
(pow (* x (- x 1.0)) 1/2)

series181.0ms

Counts
1 → 3
Calls
1 calls:
181.0ms
(pow (* x (- x 1.0)) 1/2)

simplify3.4s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
062248
1150214
2339192
3956176
44006168
done5001168

prune37.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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
2.1s23600×body80nan
426.0ms7992×body80valid
1.0msbody160valid