Details

Time bar (total: 9.1s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.1s)

IterNodesCost
01229
12029
23729
38029
421629
552929
6117129
7273125
8457325
done500125

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.4b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
113×add-sqr-sqrt
103×*-un-lft-identity
57×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
13×associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×swap-sqr
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×div-inv
4×frac-times sub-neg associate-/r*
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×pow2 frac-2neg flip3-+ pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 169
Calls
4 calls:
15.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
269.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
34.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
37.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
66.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify959.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (459.0ms)

IterNodesCost
02654194
16603900
221773650
done50003650

prune423.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
3.4b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
3.4b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
400×times-frac
326×add-sqr-sqrt
298×*-un-lft-identity
174×add-cube-cbrt
164×unpow-prod-down cube-prod
64×difference-of-squares
52×distribute-lft-out
26×sqr-pow
20×div-inv
16×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×associate-/r/ add-log-exp
6×pow1 cbrt-undiv pow-unpow div-exp pow-exp rem-cube-cbrt
4×flip3-+ flip-+
2×difference-cubes cube-div cube-mult pow-to-exp sub-neg flip3-- pow-pow diff-log unpow3 flip--
Counts
4 → 376
Calls
4 calls:
22.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
24.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
123.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
125.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

series300.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
74.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
73.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
78.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

simplify1.5s

Counts
388 → 388
Iterations

Useful iterations: 2 (720.0ms)

IterNodesCost
032410040
111149386
241978922
done50018922

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02189
12689
done2689

end0.0ms

sample429.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid