Details

Time bar (total: 2.3s)

sample341.0ms

Algorithm
intervals
Results
20.0ms790×body80nan
5.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
094
1104
2104
done104

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))

rewrite30.0ms

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:
28.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify72.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181216
1610206
22471201
35002201
done5002201

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (+ 0.5 (* 0.125 (/ 1 x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt *-un-lft-identity
diff-log
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- sum-log add-cbrt-cube flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
1 → 16
Calls
1 calls:
13.0ms
(- x (+ 0.5 (* 0.125 (/ 1 x))))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(- x (+ 0.5 (* 0.125 (/ 1 x))))

simplify34.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
096126
1283117
21070115
35001110
done5001110

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

27.5b
(pow (* (- x 1.0) x) (/ 1 2))

rewrite14.0ms

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
pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube div-inv add-log-exp sqr-pow
Counts
1 → 27
Calls
1 calls:
13.0ms
(pow (* (- x 1.0) x) (/ 1 2))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(pow (* (- x 1.0) x) (/ 1 2))

simplify138.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0223178
1765161
24284140
35003140
done5003140

prune57.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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
0124
1124
done124

end0.0ms

sample1.2s

Algorithm
intervals
Results
565.0ms24203×body80nan
154.0ms7983×body80valid
1.0ms17×body160valid