Details

Time bar (total: 6.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21211
done1211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
35×times-frac
26×add-sqr-sqrt
21×fma-def
20×add-cube-cbrt
11×distribute-lft-out
distribute-lft-out--
add-exp-log associate-/r* associate-/r/ add-cbrt-cube add-log-exp
associate-/l* difference-of-squares
pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv
cbrt-undiv +-commutative flip3-- frac-2neg div-exp frac-add clear-num sum-log flip--
Counts
2 → 75
Calls
2 calls:
27.0ms
(/ x (+ x 1.0))
125.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series230.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ x (+ x 1.0))
168.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.0s

Counts
81 → 81
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0113740
1282692
2742650
31745647
done5000645

prune255.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite528.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
67×times-frac
39×distribute-lft-out
34×add-sqr-sqrt
28×add-cube-cbrt
22×cbrt-prod
21×fma-def
16×unpow-prod-down cube-prod
13×distribute-lft-out--
add-exp-log add-cbrt-cube
cube-div add-log-exp
pow1
expm1-log1p-u flip3-+ associate-/r* associate-/r/ flip-+ log1p-expm1-u
pow-unpow cbrt-div frac-add associate-/l* difference-of-squares
cube-mult unpow3 div-inv sqr-pow
cbrt-undiv +-commutative pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
12.0ms
(/ x (+ x 1.0))
129.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
155.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
217.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series692.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ x (+ x 1.0))
195.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
164.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
274.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.2s

Counts
161 → 161
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01882492
14662101
214201942
done50001936

prune444.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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
01014
11214
done1214

end0.0ms

sample617.0ms

Algorithm
intervals
Results
433.0ms8000×body80valid