Details

Time bar (total: 15.4s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite16.0ms

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-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.2s

Counts
37 → 37
Iterations
IterNodes
done2008
42008
31440
2454
1174
077

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.0b
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
438×sqrt-prod
384×times-frac
364×add-sqr-sqrt
331×*-un-lft-identity
197×add-cube-cbrt
94×swap-sqr
59×distribute-lft-out
48×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
14×associate-/r* sqrt-div
12×pow1 associate-/r/ associate-/l*
7×flip3-+ flip-+
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 401
Calls
4 calls:
21.0ms
(sqrt (+ (exp x) (exp (- x))))
92.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
17.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
20.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sqrt (+ (exp x) (exp (- x))))
99.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
144.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
156.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.1s

Counts
413 → 413
Iterations
IterNodes
done2002
22002
1912
0287

prune4.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
249×sqrt-prod
176×*-un-lft-identity
168×times-frac
124×add-sqr-sqrt
122×add-cube-cbrt
51×associate-*r*
27×distribute-lft-out
21×associate-/r*
19×add-cbrt-cube add-exp-log
18×pow1 associate-/l*
16×sqrt-div
9×pow-prod-up
8×associate-/r/
5×frac-times associate-*l/ prod-exp cbrt-unprod
4×cbrt-undiv sqrt-undiv sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/
2×sqrt-unprod pow3
1×pow-plus associate-*l* *-commutative
Counts
4 → 296
Calls
4 calls:
181.0ms
(* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
34.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
27.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
18.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
179.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
177.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
143.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.7s

Counts
308 → 308
Iterations
IterNodes
done2000
32000
21919
1610
0258

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample755.0ms

Algorithm
intervals
Results
637.0ms8000×body80valid