Details

Time bar (total: 10.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms93×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
43.0ms
(+ 1.0 (sqrt (+ x 1.0)))
58.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series266.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(+ 1.0 (sqrt (+ x 1.0)))
184.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify2.2s

Counts
51 → 51
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0117739
1277693
2831636
33565630
done5000628

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
95×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 133
Calls
3 calls:
20.0ms
(+ 1.0 (sqrt (+ x 1.0)))
72.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
42.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series356.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ 1.0 (sqrt (+ x 1.0)))
127.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
175.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify3.5s

Counts
142 → 142
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02292489
15412167
213671933
349381899
done50011897

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
0.2b
(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
2.1b
(- (* 1.0 1.0) (+ x 1.0))
2.1b
(- 1.0 (sqrt (+ x 1.0)))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
211×add-sqr-sqrt
210×times-frac
135×*-un-lft-identity
91×add-cube-cbrt
76×difference-of-squares
36×associate-/r*
22×sqrt-prod distribute-lft-out--
11×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
8×flip3-- flip--
7×associate-/l*
6×div-inv
4×pow1 cbrt-undiv div-exp
3×diff-log
2×sub-neg frac-2neg clear-num associate-/l/
1×div-sub sum-log associate--r+
Counts
4 → 219
Calls
4 calls:
86.0ms
(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
95.0ms
(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
34.0ms
(- (* 1.0 1.0) (+ x 1.0))
30.0ms
(- 1.0 (sqrt (+ x 1.0)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
220.0ms
(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
28.0ms
(- (* 1.0 1.0) (+ x 1.0))
61.0ms
(- 1.0 (sqrt (+ x 1.0)))

simplify1.8s

Counts
231 → 231
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03326056
18005687
232314986
done50014985

prune638.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample646.0ms

Algorithm
intervals
Results
337.0ms7998×body80valid
139.0ms2742×body80nan
1.0ms2×body1280valid