Details

Time bar (total: 9.0s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
done128

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (171.0ms)

IterNodesCost
080510
1168489
2387455
3925454
43351454
done5001454

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
74×cbrt-prod
61×*-un-lft-identity
49×times-frac
41×add-sqr-sqrt
37×add-cube-cbrt
23×pow1
21×associate-*r*
15×cbrt-div
12×pow1/3 distribute-lft-out
9×add-exp-log pow-prod-up
8×associate-/r/
6×pow-plus
5×frac-times pow-prod-down associate-*l/ add-cbrt-cube
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×associate-*r/ prod-exp pow-sqr cbrt-unprod unswap-sqr
2×pow2
1×associate-*l* pow3 *-commutative
Counts
4 → 147
Calls
4 calls:
87.0ms
(* (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
196.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
192.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
196.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify1.4s

Counts
159 → 159
Iterations

Useful iterations: 3 (701.0ms)

IterNodesCost
01713334
13713164
29592700
324512604
done50012604

prune443.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
0.5b
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
52×add-sqr-sqrt times-frac
36×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1 associate-/r* associate-/r/
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 108
Calls
2 calls:
11.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
31.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series175.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
103.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify2.9s

Counts
114 → 114
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01481841
13441604
210561474
342091459
done50011459

prune235.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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

sample268.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid