Details

Time bar (total: 4.1s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

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:
67.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms
(/ 1.0 (- x 1.0))
18.0ms
(/ x (+ x 1.0))

series237.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
39.0ms
(/ 1.0 (- x 1.0))
47.0ms
(/ x (+ x 1.0))

simplify51.0ms

Counts
96 → 96

prune245.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ x (+ x 1.0))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.8b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite151.0ms

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:
38.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
11.0ms
(/ x (+ x 1.0))
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
85.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series374.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
52.0ms
(/ x (+ x 1.0))
62.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
52.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify75.0ms

Counts
140 → 140

prune391.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(exp (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0))))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.8b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×associate-/r*
7×add-log-exp difference-of-squares
6×pow1 associate-/r/ associate-/l*
5×distribute-lft-out
4×associate-*r*
3×cbrt-undiv exp-prod flip3-+ div-exp flip-+ div-inv
2×frac-times flip3-- frac-2neg associate-*r/ prod-exp clear-num flip-- cbrt-unprod rem-exp-log unswap-sqr
1×distribute-rgt-in distribute-lft-in exp-sum pow-prod-down associate-*l/ sum-log *-commutative
Counts
4 → 123
Calls
4 calls:
19.0ms
(/ x (+ x 1.0))
200.0ms
(exp (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0))))
20.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
85.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series532.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ x (+ x 1.0))
360.0ms
(exp (+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0))))
61.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
72.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify61.0ms

Counts
135 → 135

prune833.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify47.0ms

end0.0ms

sample634.0ms

Algorithm
intervals
Results
455.0ms8000×body80valid