Details

Time bar (total: 10.6s)

sample198.0ms

Algorithm
intervals
Results
39.0ms786×body80nan
9.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:
57.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.1s

Counts
37 → 37
Iterations

Useful iterations: done (3.1s)

IterNodesCost
083387
1181354
2435338
3983335
42401334
done5001332

prune120.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

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

localize15.0ms

Local error

Found 1 expressions with local error:

30.4b
(pow (* x (- x 1.0)) 1/2)

rewrite11.0ms

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:
11.0ms
(pow (* x (- x 1.0)) 1/2)

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(pow (* x (- x 1.0)) 1/2)

simplify3.5s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
062248
1150214
2339192
3956176
44006168
done5001168

prune43.0ms

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

sample3.2s

Algorithm
intervals
Results
2.1s23954×body80nan
490.0ms7993×body80valid
1.0msbody160valid