Details

Time bar (total: 7.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

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))

rewrite26.0ms

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))

series98.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ x (+ x 1.0))
34.0ms
(/ 1.0 (- x 1.0))

simplify1.1s

Counts
80 → 80
Iterations
IterNodes
done5001
21241
1309
0139

prune340.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

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))

rewrite92.0ms

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:
17.0ms
(/ x (+ x 1.0))
14.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
57.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series173.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x 1.0))
61.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
70.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.3s

Counts
125 → 125
Iterations
IterNodes
done5000
24257
1704
0208

prune591.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

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)))

rewrite41.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ associate-*r/ flip-+ log1p-expm1-u div-inv add-log-exp difference-of-squares associate-/l/
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
15.0ms
(/ x (+ x 1.0))
23.0ms
(/ (* 1.0 (+ x 1.0)) (- (* x x) (* 1.0 1.0)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (+ x 1.0))
58.0ms
(/ (* 1.0 (+ x 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.9s

Counts
70 → 70
Iterations
IterNodes
done5000
22619
1401
0139

prune366.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample619.0ms

Algorithm
intervals
Results
430.0ms8000×body80valid