Details

Time bar (total: 9.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms93×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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))))

rewrite64.0ms

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:
17.0ms
(+ 1.0 (sqrt (+ x 1.0)))
45.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series244.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ 1.0 (sqrt (+ x 1.0)))
200.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify2.2s

Counts
51 → 51
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0117739
1277693
2831636
33565630
done5000628

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite204.0ms

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:
30.0ms
(+ 1.0 (sqrt (+ x 1.0)))
79.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
83.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series361.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ 1.0 (sqrt (+ x 1.0)))
99.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
202.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify3.0s

Counts
142 → 142
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02292489
15412167
213671933
349381899
done50011897

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ x (- (* 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)))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×associate-*l*
16×*-un-lft-identity
13×times-frac
12×add-cube-cbrt
10×add-log-exp
8×add-exp-log add-cbrt-cube difference-of-squares
6×associate-*r*
5×pow1 flip3-- flip--
4×sub-neg
3×diff-log
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ prod-exp sqrt-prod associate-/r/ cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ sum-log *-commutative div-inv associate--r+
Counts
3 → 78
Calls
3 calls:
218.0ms
(* (/ x (- (* 1.0 1.0) (+ x 1.0))) (- 1.0 (sqrt (+ x 1.0))))
32.0ms
(- (* 1.0 1.0) (+ x 1.0))
27.0ms
(- 1.0 (sqrt (+ x 1.0)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(* (/ x (- (* 1.0 1.0) (+ x 1.0))) (- 1.0 (sqrt (+ x 1.0))))
21.0ms
(- (* 1.0 1.0) (+ x 1.0))
74.0ms
(- 1.0 (sqrt (+ x 1.0)))

simplify1.2s

Counts
87 → 87
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01531514
14001448
214791300
done50001135

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample719.0ms

Algorithm
intervals
Results
399.0ms7998×body80valid
76.0ms2742×body80nan
0.0ms2×body1280valid