Details

Time bar (total: 14.8s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify959.0ms

Counts
39 → 39
Iterations
IterNodes
done2008
42008
31539
2482
1178
079

prune315.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
438×sqrt-prod
384×times-frac
366×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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 hypot-def
Counts
4 → 410
Calls
4 calls:
22.0ms
(sqrt (+ (exp x) (exp (- x))))
98.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
22.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
31.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (+ (exp x) (exp (- x))))
132.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
162.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
153.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.4s

Counts
422 → 422
Iterations
IterNodes
done2001
22001
1922
0293

prune4.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

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)))))

rewrite274.0ms

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×expm1-log1p-u cbrt-undiv sqrt-undiv sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ insert-posit16 log1p-expm1-u 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 → 304
Calls
4 calls:
182.0ms
(* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
30.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
27.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
27.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
138.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
163.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
165.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.3s

Counts
316 → 316
Iterations
IterNodes
done2001
32001
21928
1619
0262

prune3.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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

sample694.0ms

Algorithm
intervals
Results
583.0ms8000×body80valid