Details

Time bar (total: 12.4s)

sample134.0ms

Algorithm
intervals
Results
48.0ms765×body80nan
14.0ms256×body80valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2107
done107

prune5.0ms

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))

rewrite44.0ms

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:
42.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify4.5s

Counts
39 → 39
Iterations

Useful iterations: done (4.5s)

IterNodesCost
085403
1188370
2451354
31053351
42875350
done5002348

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

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

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

30.0b
(pow (* (- x 1.0) x) (/ 1 2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
13×pow-unpow
times-frac
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
pow-pow pow-exp
expm1-log1p-u pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube log1p-expm1-u div-inv add-log-exp sqr-pow
Counts
1 → 29
Calls
1 calls:
34.0ms
(pow (* (- x 1.0) x) (/ 1 2))

series154.0ms

Counts
1 → 3
Calls
1 calls:
154.0ms
(pow (* (- x 1.0) x) (/ 1 2))

simplify4.0s

Counts
32 → 32
Iterations

Useful iterations: done (4.0s)

IterNodesCost
089430
1218334
2466293
31211278
44720271
done5000270

prune97.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
done67

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.1s23858×body80nan
383.0ms7993×body80valid
1.0msbody160valid