Details

Time bar (total: 8.0s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (764.0ms)

IterNodesCost
080510
1175489
2627457
33824454
done5000454

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 209
Calls
4 calls:
28.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
184.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
47.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
38.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
159.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
153.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
142.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify1.2s

Counts
221 → 221
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02344642
14753390
219283178
done50013116

prune771.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))))
0.2b
(sqrt (+ (exp x) (exp (- x))))
0.2b
(sqrt (+ (exp x) (exp (- x))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
24×*-un-lft-identity
23×add-sqr-sqrt
15×pow1
14×add-cube-cbrt
13×times-frac
9×sqrt-pow1
8×sqrt-div
5×rem-sqrt-square distribute-lft-out
4×add-exp-log expm1-log1p-u pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×associate-/r/ hypot-def
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up div-inv
Counts
4 → 91
Calls
4 calls:
42.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
63.0ms
(sqrt (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))))
47.0ms
(sqrt (+ (exp x) (exp (- x))))
35.0ms
(sqrt (+ (exp x) (exp (- x))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
122.0ms
(sqrt (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))))
58.0ms
(sqrt (+ (exp x) (exp (- x))))
60.0ms
(sqrt (+ (exp x) (exp (- x))))

simplify684.0ms

Counts
103 → 103
Iterations

Useful iterations: done (680.0ms)

IterNodesCost
01601547
13101269
29871161
done50001125

prune430.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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

sample590.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid