Details

Time bar (total: 7.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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))))

rewrite26.0ms

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:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.3s

Counts
38 → 38
Iterations

Useful iterations: 3 (531.0ms)

IterNodesCost
080510
1175489
2627457
33824454
done5000454

prune125.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square 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
4 → 212
Calls
4 calls:
25.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
124.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
41.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
28.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
143.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
59.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.3s

Counts
224 → 224
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02344573
14873359
222603138
done50023081

prune699.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-exp-log add-cbrt-cube
9×associate-/l*
8×associate-/r/
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 134
Calls
4 calls:
17.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
28.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
54.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
50.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify667.0ms

Counts
146 → 146
Iterations

Useful iterations: done (661.0ms)

IterNodesCost
01352097
12772005
29411882
done50011874

prune773.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
11631
done1631

end0.0ms

sample563.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid