Details

Time bar (total: 1.8s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
056608

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×cosh-undef associate-/r* distribute-lft-out
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 50
Calls
2 calls:
4.0ms
(+ (exp x) (exp (neg x)))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (exp x) (exp (neg x)))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04921595
14921595

prune78.0ms

Filtered
41 candidates to 56 candidates (-36.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh000
Picked011
Done000
Total53457

Merged error: 0b

Counts
57 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
144×*-un-lft-identity
123×times-frac
108×cbrt-prod
102×add-sqr-sqrt
78×add-cube-cbrt
30×swap-sqr distribute-lft-out
24×cosh-undef associate-*r* associate-*l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×associate-/l* unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 219
Calls
4 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
23.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
42.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049303754
149303754

prune429.0ms

Filtered
163 candidates to 231 candidates (-41.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2310231
Fresh022
Picked011
Done011
Total2314235

Merged error: 0b

Counts
235 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
0.0b
(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
75×times-frac
52×add-sqr-sqrt add-cube-cbrt
48×cbrt-prod
42×unpow-prod-down cube-prod
17×cosh-undef distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-+ flip-+ add-log-exp
5×pow1 associate-/r* div-inv
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 170
Calls
4 calls:
4.0ms
(+ (exp x) (exp (neg x)))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
9.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (exp x) (exp (neg x)))
9.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
14.0ms
(pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3)
8.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051272341

prune171.0ms

Filtered
93 candidates to 182 candidates (-95.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1811182
Fresh101
Picked011
Done022
Total1824186

Merged error: 0b

Counts
186 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (cosh x))
1.0b
(cbrt 1/8)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×cbrt-prod associate-/r* associate-/l*
2×pow1 add-log-exp
1×cbrt-undiv cosh-def frac-2neg pow1/3 div-exp clear-num associate-/r/ div-inv
Counts
2 → 39
Calls
2 calls:
3.0ms
(/ 2.0 (cosh x))
1.0ms
(cbrt 1/8)

series14.0ms

Counts
2 → 4
Calls
2 calls:
13.0ms
(/ 2.0 (cosh x))
0.0ms
(cbrt 1/8)

simplify75.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04891289
14891289

prune62.0ms

Filtered
35 candidates to 43 candidates (-22.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done033
Total43447

Merged error: 0b

Counts
47 → 4

regimes102.0ms

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
0408
1408

end0.0ms

sample337.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid

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