Details

Time bar (total: 13.2s)

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21211
done1211

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
23×times-frac
21×fma-def
16×add-sqr-sqrt
10×add-cube-cbrt
7×distribute-lft-out
5×distribute-lft-out--
3×add-log-exp difference-of-squares
2×associate-/r/
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-- flip3-+ frac-add sum-log add-cbrt-cube flip-- flip-+ log1p-expm1-u div-inv
Counts
1 → 40
Calls
1 calls:
161.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series234.0ms

Counts
1 → 3
Calls
1 calls:
234.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify4.1s

Counts
43 → 43
Iterations

Useful iterations: 3 (821.0ms)

IterNodesCost
051362
1159347
2570321
32859319
done5000319

prune263.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

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)))

rewrite893.0ms

Algorithm
rewrite-expression-head
Rules
893×*-un-lft-identity
797×times-frac
671×add-sqr-sqrt
437×add-cube-cbrt
378×prod-diff
117×distribute-lft-out--
106×difference-of-squares
99×associate-/r/
93×distribute-lft-out
51×swap-sqr
49×div-inv
39×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
26×flip3-- flip--
25×flip3-+ flip-+
21×fma-neg
18×pow1
12×associate-/r*
11×frac-sub associate-/l/
9×cbrt-undiv div-exp
8×frac-times associate-*r/ associate-*l/ prod-exp cbrt-unprod unswap-sqr
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u 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 → 705
Calls
4 calls:
325.0ms
(/ (- (* (/ 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))))
207.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
112.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
124.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series852.0ms

Counts
4 → 12
Calls
4 calls:
549.0ms
(/ (- (* (/ 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)))
77.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
69.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.0s

Counts
717 → 717
Iterations

Useful iterations: done (1.9s)

IterNodesCost
076331348
1219527716
done500023130

prune3.8s

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

sample829.0ms

Algorithm
intervals
Results
589.0ms8000×body80valid