Details

Time bar (total: 7.5s)

sample40.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11111
21211
done1211

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
8×times-frac
7×distribute-lft-out
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
143.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series231.0ms

Counts
1 → 3
Calls
1 calls:
230.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.0s

Counts
20 → 20
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
049338
1149331
2531299
32626299
done5000299

prune95.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.0b
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.1b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite678.0ms

Algorithm
rewrite-expression-head
Rules
314×*-un-lft-identity
260×times-frac
218×add-sqr-sqrt
98×add-cube-cbrt
60×distribute-lft-out--
51×swap-sqr
49×difference-of-squares
39×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube distribute-lft-out
19×associate-/r/
18×pow1
12×associate-/r*
11×frac-sub associate-/l/
9×cbrt-undiv div-exp div-inv
8×frac-times associate-*r/ associate-*l/ prod-exp cbrt-unprod unswap-sqr
7×flip3-- flip--
6×add-log-exp
4×flip3-+ flip-+ associate-/l*
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 298
Calls
4 calls:
296.0ms
(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
157.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
92.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
97.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series817.0ms

Counts
4 → 12
Calls
4 calls:
530.0ms
(/ (- (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
149.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
75.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
62.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.1s

Counts
310 → 310
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04318650
114377908
done50017436

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01135
11235
done1235

end0.0ms

sample865.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid