Details

Time bar (total: 4.0s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11111
21211
done1211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
associate-/r*
add-exp-log add-cbrt-cube
associate-/l* distribute-lft-out--
add-log-exp
associate-/r/ difference-of-squares
pow1
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ x (+ x 1.0))
42.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 1.0 (- x 1.0))
37.0ms
(/ x (+ x 1.0))
123.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01691135
13771064
2916996
32234996
done5001995

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b
(* (- x 1.0) (+ x 1.0))
0.0b
(* (- x 1.0) x)
15.8b
(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×associate-*l/
13×add-exp-log add-cbrt-cube
12×flip3-+ associate-*r/ flip-+
11×flip3-- flip--
10×add-cube-cbrt associate-*l*
pow1 frac-times frac-add associate-/r/
associate-*r*
associate-/l/ add-log-exp
times-frac prod-exp cbrt-unprod associate-/l*
cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
+-commutative frac-2neg clear-num associate-/r* sum-log div-inv distribute-lft-out
Counts
4 → 105
Calls
4 calls:
6.0ms
(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
19.0ms
(* (- x 1.0) (+ x 1.0))
10.0ms
(* (- x 1.0) x)
23.0ms
(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
76.0ms
(* (- x 1.0) (+ x 1.0))
41.0ms
(* (- x 1.0) x)
298.0ms
(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify972.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
01822029
15581961
224811773
done50011773

prune253.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
done911

end0.0ms

sample265.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid