Details

Time bar (total: 7.5s)

sample43.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms240×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.0b
(sqrt (+ x 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
sqrt-prod
distribute-lft-out
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt
flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 30
Calls
2 calls:
85.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
13.0ms
(sqrt (+ x 1.0))

series230.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
92.0ms
(sqrt (+ x 1.0))

simplify2.2s

Counts
36 → 36
Iterations

Useful iterations: done (2.2s)

IterNodesCost
080410
1196362
2666332
32685324
done5000322

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* 1.0 (- 1.0 x)))
9.5b
(/ (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (* 1.0 (- 1.0 x)))))
11.0b
(sqrt (+ (pow x 3) (pow 1.0 3)))
14.2b
(sqrt (+ (* x x) (* 1.0 (- 1.0 x))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
114×sqrt-prod
72×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
40×distribute-lft-out
32×unpow-prod-down cube-prod
12×associate-/l*
sqrt-div sum-cubes
pow1 associate-/r* add-cbrt-cube add-exp-log add-log-exp
flip3-+ flip-+
associate-+r+
distribute-rgt-in rem-sqrt-square sub-neg distribute-lft-in sqrt-pow1 pow1/2 associate-/r/ associate-/l/
cbrt-undiv +-commutative sqrt-undiv clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 158
Calls
4 calls:
18.0ms
(+ (* x x) (* 1.0 (- 1.0 x)))
121.0ms
(/ (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (* 1.0 (- 1.0 x)))))
58.0ms
(sqrt (+ (pow x 3) (pow 1.0 3)))
16.0ms
(sqrt (+ (* x x) (* 1.0 (- 1.0 x))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x x) (* 1.0 (- 1.0 x)))
164.0ms
(/ (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (* 1.0 (- 1.0 x)))))
99.0ms
(sqrt (+ (pow x 3) (pow 1.0 3)))
103.0ms
(sqrt (+ (* x x) (* 1.0 (- 1.0 x))))

simplify1.7s

Counts
170 → 170
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02124587
14744100
221043972
done50013970

prune850.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample1.5s

Algorithm
intervals
Results
518.0ms7966×body80nan
465.0ms8000×body80valid