Details

Time bar (total: 8.3s)

sample26.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.3s)

IterNodesCost
01229
12029
23729
38029
421629
552929
6117029
7273025
8457025
done500025

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))))
0.0b
(* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))
4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
30×add-sqr-sqrt
16×add-cube-cbrt
11×pow1
times-frac
add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
swap-sqr
difference-of-squares
associate-*r* associate-*l*
frac-times sub-neg
associate-/r* associate-/l*
distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
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:
5.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))))
16.0ms
(* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))))
3.0ms
(* (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))) (- 2.0 (/ 2.0 (* 1.0 (+ 1 t)))))
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

simplify661.0ms

Counts
114 → 114
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
01643006
13912764
212662516
done50002512

prune214.0ms

Filtered
76 candidates to 114 candidates (-50.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh000
Picked101
Done000
Total1141115

Merged error: 0b

Counts
115 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
4.9b
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
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:
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
7.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

series11.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))
3.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ 1 t))))

simplify2.1s

Counts
68 → 68
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0481092
11211048
2328936
31163936
44965928
done5000928

prune310.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done000
Total68169

Merged error: 0b

Counts
69 → 1

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02285
13085
done3085

end0.0ms

sample736.0ms

Algorithm
intervals
Results
592.0ms8000×body80valid

Profiling

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