Details

Time bar (total: 6.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
23.0ms
(/ x (+ x 1.0))
90.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
16.0ms
(/ 1.0 (- x 1.0))

series256.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ x (+ x 1.0))
187.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
33.0ms
(/ 1.0 (- x 1.0))

simplify2.7s

Counts
123 → 123
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01751183
13991098
210201043
322981038
done50001033

prune343.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
8×associate-/r*
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/ distribute-lft-out difference-of-squares
2×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
1×flip3-- flip3-+ flip-- flip-+
Counts
2 → 70
Calls
2 calls:
16.0ms
(/ x (+ x 1.0))
20.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (+ x 1.0))
81.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.1s

Counts
76 → 76
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0148963
1320913
2887844
32671837
done5000834

prune331.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0918
11018
done1018

end0.0ms

sample630.0ms

Algorithm
intervals
Results
440.0ms8000×body80valid