Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (469.0ms)

IterNodesCost
01229
12029
23729
38029
421629
553729
6120929
7286725
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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
12×difference-of-squares
11×pow1
8×add-exp-log flip3-- swap-sqr add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
6×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 → 107
Calls
4 calls:
24.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0))
23.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))))
11.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
16.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0))
4.0ms
(* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

simplify457.0ms

Counts
119 → 119
Iterations

Useful iterations: done (443.0ms)

IterNodesCost
01723148
14142906
214152658
done50012654

prune242.0ms

Filtered
81 candidates to 119 candidates (-46.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1172119
Fresh000
Picked101
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
12×*-un-lft-identity add-log-exp
8×difference-of-squares
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 60
Calls
4 calls:
10.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
10.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
10.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
13.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

series13.0ms

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

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: 4 (445.0ms)

IterNodesCost
0521188
11221144
23251032
310841032
446621024
done50001024

prune361.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done000
Total72274

Merged error: 0b

Counts
74 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0)))
1.0b
(log (exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
4.9b
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
30×exp-prod
29×add-sqr-sqrt
23×*-un-lft-identity
20×times-frac
19×add-cube-cbrt
16×log-pow
9×add-log-exp
5×pow1
4×add-exp-log associate-/r/ add-cbrt-cube difference-of-squares
3×log-prod
2×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ div-inv distribute-lft-out--
1×rem-log-exp rem-exp-log
Counts
4 → 80
Calls
4 calls:
25.0ms
(exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0)))
30.0ms
(log (exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0))))
10.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
10.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0)))
7.0ms
(log (exp (/ 1.0 (+ (* (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0)))) (- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))) 2.0))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))
3.0ms
(- 2.0 (/ 2.0 (+ 1.0 (* t 1.0))))

simplify593.0ms

Counts
92 → 92
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
01532198
12982104
27371866
321351830
done50001830

prune251.0ms

Filtered
76 candidates to 92 candidates (-21.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done011
Total92294

Merged error: 0b

Counts
94 → 2

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02185
12785
done2785

end0.0ms

sample783.0ms

Algorithm
intervals
Results
624.0ms8000×body80valid

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