Details

Time bar (total: 3.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify1.0ms

Counts
1 → 1

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))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
11.0ms
(/ x (+ x 1.0))
70.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms
(/ 1.0 (- x 1.0))

series247.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ x (+ x 1.0))
157.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
35.0ms
(/ 1.0 (- x 1.0))

simplify69.0ms

Counts
96 → 96

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.8b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×associate-/r*
7×difference-of-squares
6×pow1 flip3-+ associate-/r/ flip-+ associate-/l* add-log-exp
5×frac-add distribute-lft-out
4×frac-times associate-*r/ associate-*r*
3×cbrt-undiv div-exp div-inv
2×distribute-rgt-in associate-+l+ flip3-- frac-2neg distribute-lft-in associate-*l/ prod-exp clear-num flip-- cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 128
Calls
4 calls:
20.0ms
(/ x (+ x 1.0))
44.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
24.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
97.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series405.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x 1.0))
226.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
84.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
51.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify95.0ms

Counts
140 → 140

prune401.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(* (- x 1.0) (+ x 1.0))
0.0b
(+ (* 1.0 (/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))) (/ x (+ x 1.0)))
15.9b
(/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
21×add-sqr-sqrt
17×add-cube-cbrt
16×times-frac
13×add-exp-log add-cbrt-cube
10×associate-/r/
9×flip3-+ flip-+
8×frac-times
7×distribute-lft-out associate-/l*
6×pow1 flip3-- flip-- add-log-exp
5×associate-*r/ associate-*l* associate-/r*
4×associate-*r* associate-*l/
3×cbrt-undiv div-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l/
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down frac-add sum-log *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
20.0ms
(/ x (+ x 1.0))
42.0ms
(* (- x 1.0) (+ x 1.0))
73.0ms
(+ (* 1.0 (/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))) (/ x (+ x 1.0)))
50.0ms
(/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x (+ x 1.0))
87.0ms
(* (- x 1.0) (+ x 1.0))
150.0ms
(+ (* 1.0 (/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))) (/ x (+ x 1.0)))
46.0ms
(/ (+ x 1.0) (* (- x 1.0) (+ x 1.0)))

simplify57.0ms

Counts
121 → 121

prune316.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify34.0ms

end0.0ms

sample558.0ms

Algorithm
intervals
Results
367.0ms8000×body80valid