Details

Time bar (total: 7.9s)

sample136.0ms

Algorithm
intervals
Results
32.0ms778×body80nan
9.0ms256×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

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))

rewrite56.0ms

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:
52.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series102.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.1s

Counts
37 → 37
Iterations

Useful iterations: done (3.1s)

IterNodesCost
083387
1190360
2673340
33653337
done5001335

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

29.4b
(sqrt (* (- x 1.0) x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
pow1
sqrt-pow1 sqrt-div associate-*l/
add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
18.0ms
(sqrt (* (- x 1.0) x))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(sqrt (* (- x 1.0) x))

simplify1.2s

Counts
16 → 16
Iterations

Useful iterations: 3 (322.0ms)

IterNodesCost
051154
1113138
2364128
31806126
done5001126

prune34.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s23391×body80nan
369.0ms7990×body80valid
1.0ms10×body160valid