Details

Time bar (total: 8.3s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

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

rewrite127.0ms

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))
11.0ms
(/ 1.0 (- x 1.0))
96.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x 1.0))
45.0ms
(/ 1.0 (- x 1.0))
127.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.7s

Counts
96 → 96

prune167.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
52×times-frac
39×distribute-lft-out
22×cbrt-prod
19×add-sqr-sqrt add-cube-cbrt
16×unpow-prod-down cube-prod
10×distribute-lft-out--
7×add-exp-log add-cbrt-cube
6×cube-div add-log-exp
5×pow1
4×flip3-+ associate-/r* flip-+
3×pow-unpow cbrt-div frac-add associate-/l*
2×cube-mult unpow3 associate-/r/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 120
Calls
4 calls:
20.0ms
(/ x (+ x 1.0))
142.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
75.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
111.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series629.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (+ x 1.0))
165.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
164.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
263.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify697.0ms

Counts
132 → 132

prune315.0ms

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)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b
(pow (/ x (+ x 1.0)) 3)
0.1b
(pow (/ 1.0 (- x 1.0)) 3)
0.2b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
155×times-frac
154×add-sqr-sqrt
89×add-cube-cbrt
39×unpow-prod-down cube-prod associate-*l*
33×associate-*r*
31×distribute-lft-out--
27×add-exp-log swap-sqr add-cbrt-cube
22×difference-of-squares
18×associate-/r/
15×pow1
11×distribute-lft-out
9×div-inv
8×flip3-- flip--
7×cbrt-undiv div-exp
6×pow-unpow prod-exp cbrt-unprod unswap-sqr
4×frac-times associate-*r/ pow-exp add-log-exp rem-cube-cbrt
3×flip3-+ flip-+
2×cube-div distribute-rgt-in cube-mult pow-to-exp sub-neg pow-pow distribute-lft-in unpow3 pow-prod-down associate-*l/ *-commutative frac-sub sqr-pow
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 271
Calls
4 calls:
294.0ms
(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
21.0ms
(pow (/ x (+ x 1.0)) 3)
24.0ms
(pow (/ 1.0 (- x 1.0)) 3)
69.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
59.0ms
(pow (/ x (+ x 1.0)) 3)
71.0ms
(pow (/ 1.0 (- x 1.0)) 3)
68.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify680.0ms

Counts
283 → 283

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify929.0ms

end0.0ms

sample581.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid