Details

Time bar (total: 7.6s)

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07202
111202
212202
done12202

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
1×flip3-+ flip3-- flip-+ flip--
Counts
2 → 70
Calls
2 calls:
16.0ms
(/ x (+ x 1.0))
16.0ms
(/ 1.0 (- x 1.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (+ x 1.0))
49.0ms
(/ 1.0 (- x 1.0))

simplify941.0ms

Counts
76 → 76
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
013518676
129815623
2118515101
done500015061

prune281.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))

rewrite100.0ms

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×cbrt-undiv flip3-+ div-exp flip-+ 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 → 110
Calls
3 calls:
18.0ms
(/ x (+ x 1.0))
17.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
58.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series192.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ x (+ x 1.0))
78.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
75.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.8s

Counts
119 → 119
Iterations

Useful iterations: done (2.8s)

IterNodesCost
020237312
168132815
2418330635
done500030515

prune521.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×associate-/r*
4×associate-/r/ distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg flip3-+ associate-*r/ flip-+ div-inv add-log-exp difference-of-squares associate-/l/
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 60
Calls
2 calls:
17.0ms
(/ x (+ x 1.0))
40.0ms
(/ (* 1.0 (+ x 1.0)) (- (* x x) (* 1.0 1.0)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ x (+ x 1.0))
79.0ms
(/ (* 1.0 (+ x 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.6s

Counts
66 → 66
Iterations

Useful iterations: done (1.5s)

IterNodesCost
013518965
138716056
2256514813
done500214773

prune235.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010322
113322
done13322

end0.0ms

sample518.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid