Details

Time bar (total: 9.1s)

sample109.0ms

Algorithm
intervals
Results
31.0ms730×body80nan
21.0ms104×body1280valid
13.0ms86×body640valid
6.0ms46×body320valid
1.0ms16×body160valid
0.0msbody80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2127
done127

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize49.0ms

Local error

Found 1 expressions with local error:

6.1b
(- (sqrt (- x 1.0)) (sqrt x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity sqrt-prod
distribute-lft-out-- difference-of-squares
add-log-exp
pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 19
Calls
1 calls:
76.0ms
(- (sqrt (- x 1.0)) (sqrt x))

series170.0ms

Counts
1 → 3
Calls
1 calls:
169.0ms
(- (sqrt (- x 1.0)) (sqrt x))

simplify1.4s

Counts
22 → 22
Iterations

Useful iterations: done (1.4s)

IterNodesCost
060313
1135288
2436266
31743262
done5000259

prune90.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (sqrt (- x 1.0)) (sqrt x))
0.3b
(/ (+ (- 1.0) 0) (+ (sqrt (- x 1.0)) (sqrt x)))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
92×*-un-lft-identity
35×distribute-lft-out
30×times-frac
28×sqrt-prod
15×add-sqr-sqrt add-cube-cbrt
distribute-rgt-neg-in distribute-lft-out--
associate-/r*
associate-/l*
add-cbrt-cube add-exp-log add-log-exp
flip3-+ flip-+
pow1 associate-/r/ associate-/l/
neg-sub0 cbrt-undiv +-commutative clear-num sum-log frac-2neg div-sub div-exp associate-+l- div-inv
Counts
2 → 72
Calls
2 calls:
60.0ms
(+ (sqrt (- x 1.0)) (sqrt x))
148.0ms
(/ (+ (- 1.0) 0) (+ (sqrt (- x 1.0)) (sqrt x)))

series494.0ms

Counts
2 → 6
Calls
2 calls:
157.0ms
(+ (sqrt (- x 1.0)) (sqrt x))
336.0ms
(/ (+ (- 1.0) 0) (+ (sqrt (- x 1.0)) (sqrt x)))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01441459
13691179
219181097
done50001095

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
11210
21510
done1510

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.5s23691×body80nan
1.1s3366×body1280valid
499.0ms2602×body640valid
214.0ms1227×body320valid
114.0ms606×body160valid
10.0ms199×body80valid