Details

Time bar (total: 2.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify216.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025
done50025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify70.0ms

Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0163311
1549289
22172288
35001288
done5001288

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
98×sqrt-prod
90×times-frac
89×add-sqr-sqrt
61×add-cube-cbrt
29×swap-sqr
26×distribute-lft-out
21×associate-*r* associate-*l*
18×pow1
12×associate-/r/
9×add-exp-log add-cbrt-cube unswap-sqr
8×sqrt-pow1 pow1/2 associate-/r*
6×flip3-+ flip-+ div-inv associate-/l*
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 174
Calls
3 calls:
106.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify62.0ms

Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03691882
118911745
250031716
done50031716

prune359.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 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)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
54×cbrt-prod
48×times-frac
37×add-sqr-sqrt add-cube-cbrt
13×distribute-lft-out
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 flip3-+ associate-/r* flip-+ div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 114
Calls
4 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
14.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
11.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
184.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
189.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
184.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify156.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
02581418
18131351
238651329
350021329
done50021329

prune349.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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
01013
11013
done1013

end0.0ms

sample286.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid