Details

Time bar (total: 2.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample28.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500735

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
62×*-un-lft-identity
53×times-frac
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
30×add-cube-cbrt
27×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
14×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
7×associate-/r*
4×associate-/l* add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 190
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
8.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
14.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
6.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050143080

prune376.0ms

Filtered
128 candidates to 202 candidates (-57.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2002202
Fresh000
Picked011
Done000
Total2003203

Merged error: 0b

Counts
203 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
0.6b
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
0.6b
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
0.6b
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×unpow-prod-down pow-pow
12×add-sqr-sqrt add-cube-cbrt pow-unpow *-un-lft-identity
8×add-exp-log sqrt-pow1
4×pow-to-exp pow1/2 pow-prod-down pow-exp sqrt-prod sqrt-pow2 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 88
Calls
4 calls:
7.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
7.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
9.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
8.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

series58.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
14.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
14.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
14.0ms
(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051151188

prune370.0ms

Filtered
72 candidates to 100 candidates (-38.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done011
Total1003103

Merged error: 0b

Counts
103 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* t t) (- 1.0 (* 2.0 t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg *-un-lft-identity associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
7.0ms
(* (* t t) (- 1.0 (* 2.0 t)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* t t) (- 1.0 (* 2.0 t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04915272
14915272

prune25.0ms

Filtered
16 candidates to 26 candidates (-62.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done022
Total26329

Merged error: 0b

Counts
29 → 3

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01435
11435

end0.0ms

sample672.0ms

Algorithm
intervals
Results
584.0ms8000×body80valid

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