Details

Time bar (total: 13.6s)

sample478.0ms

Algorithm
intervals
Results
465.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
72379
6986
5443
4179
379
239
120
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
0.0b
(/ 1 (+ 2 (* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))))
2.5b
(- 2 (/ 2 (+ 1 t)))
2.5b
(- 2 (/ 2 (+ 1 t)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
12×pow1 difference-of-squares
10×add-exp-log
8×flip3-- add-cbrt-cube swap-sqr flip-- distribute-lft-out-- add-log-exp
6×associate-*r* associate-*l*
4×frac-times sub-neg insert-posit16
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log div-exp associate-*l/ associate-*r/ associate-/r/
1×pow2 cbrt-undiv rec-exp clear-num frac-2neg flip3-+ pow-plus 1-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv pow-flip inv-pow unswap-sqr
Counts
4 → 115
Calls
4 calls:
131.0ms
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
8.0ms
(/ 1 (+ 2 (* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))))
12.0ms
(- 2 (/ 2 (+ 1 t)))
25.0ms
(- 2 (/ 2 (+ 1 t)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
66.0ms
(/ 1 (+ 2 (* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))))
35.0ms
(- 2 (/ 2 (+ 1 t)))
37.0ms
(- 2 (/ 2 (+ 1 t)))

simplify4.2s

Counts
127 → 127
Iterations
IterNodes
35555
21397
1428
0168

prune878.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

2.5b
(- 2 (/ 2 (+ t 1)))
2.5b
(- 2 (/ 2 (+ t 1)))
2.5b
(- 2 (/ 2 (+ t 1)))
2.5b
(- 2 (/ 2 (+ t 1)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
12×*-un-lft-identity add-log-exp
8×difference-of-squares
4×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
21.0ms
(- 2 (/ 2 (+ t 1)))
13.0ms
(- 2 (/ 2 (+ t 1)))
14.0ms
(- 2 (/ 2 (+ t 1)))
13.0ms
(- 2 (/ 2 (+ t 1)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- 2 (/ 2 (+ t 1)))
29.0ms
(- 2 (/ 2 (+ t 1)))
35.0ms
(- 2 (/ 2 (+ t 1)))
36.0ms
(- 2 (/ 2 (+ t 1)))

simplify3.6s

Counts
76 → 76
Iterations
IterNodes
53809
41549
3667
2271
1119
050

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify5.0ms

Iterations
IterNodes
231
131
023

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.4s8000×body80valid