Details

Time bar (total: 23.4s)

sample33.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
112
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x 1))
0.0b
(/ x (+ x 1))
0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Counts
3 → 100
Calls
3 calls:
13.0ms
(/ 1 (- x 1))
17.0ms
(/ x (+ x 1))
44.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ 1 (- x 1))
32.0ms
(/ x (+ x 1))
86.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify4.6s

Counts
109 → 109
Iterations
IterNodes
33041
2990
1364
0167

prune676.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1))
0.0b
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
0.0b
(exp (/ 1 (- x 1)))
2.4b
(log (exp (/ 1 (- x 1))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
61×add-sqr-sqrt
54×exp-prod times-frac
37×add-cube-cbrt
29×log-pow
12×difference-of-squares
6×pow1 log-prod add-cbrt-cube difference-of-sqr-1 add-exp-log associate-/r/ distribute-lft-out distribute-lft-out-- add-log-exp
4×associate-/r*
3×associate-+l+ div-inv associate-/l*
2×flip3-+ flip3-- flip-+ flip--
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp rem-log-exp rem-exp-log
Counts
4 → 123
Calls
4 calls:
9.0ms
(/ x (+ x 1))
88.0ms
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
20.0ms
(exp (/ 1 (- x 1)))
16.0ms
(log (exp (/ 1 (- x 1))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ x (+ x 1))
84.0ms
(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
38.0ms
(exp (/ 1 (- x 1)))
21.0ms
(log (exp (/ 1 (- x 1))))

simplify1.4s

Counts
135 → 135
Iterations
IterNodes
32496
2853
1392
0203

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b
(* (/ x (+ x 1)) (* (/ x (+ x 1)) (/ x (+ x 1))))
0.1b
(/ (/ 1 (+ x -1)) (* (+ x -1) (+ x -1)))
0.1b
(/ (/ 1 (+ x -1)) (+ x -1))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
282×*-un-lft-identity
203×add-sqr-sqrt
142×add-cube-cbrt
88×add-exp-log
74×add-cbrt-cube
67×distribute-lft-out
46×difference-of-sqr--1
42×pow1 associate-/l*
36×associate-*l* associate-/r/
35×div-exp
26×cbrt-undiv prod-exp
24×swap-sqr cbrt-unprod
20×flip3-+ flip-+
19×associate-*r*
15×div-inv
10×frac-times pow-div
8×associate-*r/ pow-prod-up
6×associate-/r* associate-*l/ unswap-sqr
5×pow-flip inv-pow
4×pow2 pow-plus pow-prod-down pow-sqr add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg *-commutative associate-/l/
1×cube-unmult
Counts
4 → 385
Calls
4 calls:
32.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
51.0ms
(* (/ x (+ x 1)) (* (/ x (+ x 1)) (/ x (+ x 1))))
23.0ms
(/ (/ 1 (+ x -1)) (* (+ x -1) (+ x -1)))
23.0ms
(/ (/ 1 (+ x -1)) (+ x -1))

series138.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
49.0ms
(* (/ x (+ x 1)) (* (/ x (+ x 1)) (/ x (+ x 1))))
34.0ms
(/ (/ 1 (+ x -1)) (* (+ x -1) (+ x -1)))
20.0ms
(/ (/ 1 (+ x -1)) (+ x -1))

simplify9.3s

Counts
397 → 397
Iterations
IterNodes
24286
11484
0518

prune4.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample739.0ms

Algorithm
intervals
Results
642.0ms8000×body80valid