Details

Time bar (total: 8.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07202
111202
212202
done12202

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
27×times-frac
21×add-cube-cbrt
9×associate-/r*
6×add-cbrt-cube add-exp-log associate-/l*
4×associate-/r/ distribute-lft-out distribute-lft-out-- difference-of-squares
2×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
1×flip3-+ flip3-- flip-+ flip--
Counts
2 → 74
Calls
2 calls:
9.0ms
(/ x (+ x 1.0))
9.0ms
(/ 1.0 (- x 1.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ x (+ x 1.0))
40.0ms
(/ 1.0 (- x 1.0))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013919324
130916121
2124115689
done500115486

prune337.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.5b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
37×times-frac
35×add-sqr-sqrt
30×add-cube-cbrt
18×associate-*l*
12×add-cbrt-cube add-exp-log
8×associate-/r*
7×difference-of-squares
6×associate-/r/ associate-/l*
5×pow1 distribute-lft-out
4×associate-*r*
3×expm1-log1p-u cbrt-undiv flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
2×frac-times clear-num frac-2neg flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
3 → 116
Calls
3 calls:
11.0ms
(/ x (+ x 1.0))
10.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
62.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series189.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ x (+ x 1.0))
67.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
62.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.9s

Counts
125 → 125
Iterations

Useful iterations: done (2.9s)

IterNodesCost
020838764
170433967
2425731789
done500031711

prune607.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
13.8b
(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
28×times-frac
21×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
8×associate-/r*
7×associate-/l*
6×add-cbrt-cube add-exp-log
5×difference-of-squares
4×associate-/r/
2×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp associate-/l/
1×flip3-- flip--
Counts
2 → 77
Calls
2 calls:
15.0ms
(/ x (+ x 1.0))
25.0ms
(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ x (+ x 1.0))
50.0ms
(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))

simplify1.9s

Counts
83 → 83
Iterations

Useful iterations: done (1.9s)

IterNodesCost
014024659
135021528
2201820333
done500120113

prune391.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010322
113322
done13322

end0.0ms

sample608.0ms

Algorithm
intervals
Results
459.0ms8000×body80valid