Details

Time bar (total: 4.8s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
done128

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* 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 → 45
Calls
2 calls:
5.0ms
(+ (exp x) (exp (neg x)))
7.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (exp x) (exp (neg x)))
9.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify1.2s

Counts
51 → 51
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
090649
1195620
2461568
31131566
43861566
done5001566

prune66.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48351
Fresh000
Picked011
Done000
Total48452

Merged error: 0.0b

Counts
52 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
98×*-un-lft-identity
84×times-frac
68×add-sqr-sqrt
66×add-cube-cbrt
16×distribute-lft-out
14×associate-/r*
12×associate-/l*
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
4×flip3-+ associate-/r/ flip-+ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
4 → 172
Calls
4 calls:
9.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
9.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
20.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))

simplify547.0ms

Counts
184 → 184
Iterations

Useful iterations: 3 (202.0ms)

IterNodesCost
01553324
12973000
27312864
322282818
done50002818

prune220.0ms

Filtered
100 candidates to 184 candidates (-84.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1822184
Fresh112
Picked101
Done011
Total1844188

Merged error: 0b

Counts
188 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.3b
(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
150×sqrt-prod
133×*-un-lft-identity
126×times-frac
102×cbrt-prod
93×add-sqr-sqrt
91×add-cube-cbrt
48×unpow-prod-down cube-prod
21×distribute-lft-out
10×sqrt-div
7×associate-/r*
6×pow1 add-exp-log associate-/r/ add-cbrt-cube associate-/l*
5×flip3-+ flip-+
4×add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv cube-div cube-mult cbrt-div sqrt-undiv frac-2neg pow1/3 unpow3 div-exp clear-num rem-cbrt-cube sqr-pow
Counts
4 → 214
Calls
4 calls:
10.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
9.0ms
(sqrt (+ (exp x) (exp (neg x))))
17.0ms
(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

series48.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
17.0ms
(cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))

simplify492.0ms

Counts
226 → 226
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
02725140
17234036
222523574
done50003574

prune240.0ms

Filtered
93 candidates to 226 candidates (-143.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2260226
Fresh022
Picked011
Done011
Total2264230

Merged error: 0b

Counts
230 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.5b
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
172×sqrt-prod
118×*-un-lft-identity
105×times-frac
82×add-sqr-sqrt
80×add-cube-cbrt
19×distribute-lft-out
16×associate-/r*
13×associate-/l*
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
4×flip3-+ flip-+ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num associate-/r/ div-inv associate-/l/
Counts
4 → 196
Calls
4 calls:
9.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
12.0ms
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
14.0ms
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

simplify903.0ms

Counts
208 → 208
Iterations

Useful iterations: 3 (391.0ms)

IterNodesCost
02504028
14613634
212313475
343703427
done50003427

prune317.0ms

Filtered
109 candidates to 208 candidates (-90.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2080208
Fresh011
Picked011
Done022
Total2084212

Merged error: 0b

Counts
212 → 4

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample380.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid

Profiling

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