Details

Time bar (total: 6.5s)

sample360.0ms

Algorithm
intervals
Results
20.0ms806×body80nan
5.0ms256×body80valid

simplify17.0ms

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

localize7.0ms

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/
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:
27.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: done (2.7s)

IterNodesCost
085403
1188370
2451354
31053351
42875350
done5002348

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 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

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) x)
30.1b
(pow (* (- x 1.0) x) 1/2)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log *-un-lft-identity
add-cube-cbrt associate-*l*
add-cbrt-cube
pow-unpow associate-*r*
expm1-log1p-u pow-pow pow-prod-down associate-*l/ pow-exp prod-exp log1p-expm1-u 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:
21.0ms
(* (- x 1.0) x)
11.0ms
(pow (* (- x 1.0) x) 1/2)

series136.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- x 1.0) x)
94.0ms
(pow (* (- x 1.0) x) 1/2)

simplify1.7s

Counts
50 → 50
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0101467
1236424
2680379
32386362
done5000358

prune74.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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

sample1.2s

Algorithm
intervals
Results
589.0ms24503×body80nan
158.0ms7994×body80valid
0.0msbody160valid