Details

Time bar (total: 10.2s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.8s

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
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))))
0.0b
(* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
30×add-sqr-sqrt
16×add-cube-cbrt
11×pow1
9×times-frac
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×swap-sqr
6×difference-of-squares
5×associate-*r* associate-*l*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 102
Calls
4 calls:
4.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))))
52.0ms
(* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))))
39.0ms
(* (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))))
24.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
28.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

simplify628.0ms

Counts
114 → 114
Iterations

Useful iterations: done (624.0ms)

IterNodesCost
01643006
13912764
212662516
done50012512

prune211.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
25.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
28.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
26.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

simplify2.0s

Counts
68 → 68
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0481092
11211048
2328936
31155936
44952928
done5000928

prune249.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
9.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
6.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
29.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
26.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
25.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

simplify2.0s

Counts
68 → 68
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0481092
11211048
2328936
31155936
44952928
done5000928

prune296.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
029103
140103
done40103

end0.0ms

sample397.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid