Details

Time bar (total: 9.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
23.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.7s

Counts
36 → 36
Iterations

Useful iterations: 3 (585.0ms)

IterNodesCost
078492
1171472
2607440
33559437
done5000437

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))))

rewrite217.0ms

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×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 → 204
Calls
4 calls:
24.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
129.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
26.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
26.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
134.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
57.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
80.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.2s

Counts
216 → 216
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02284477
14743290
222173070
done50003019

prune652.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
102×times-frac
96×cbrt-prod
95×add-sqr-sqrt
71×add-cube-cbrt
30×distribute-lft-out
27×swap-sqr
21×associate-*r* associate-*l*
14×associate-/r/
12×add-exp-log associate-/r*
11×pow1
10×add-cbrt-cube
9×associate-/l* unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
32.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
177.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
75.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
375.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify1.4s

Counts
210 → 210
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02084250
14293930
220643754
done50003615

prune947.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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 (1.0ms)

IterNodesCost
01340
11640
done1640

end0.0ms

sample650.0ms

Algorithm
intervals
Results
456.0ms8000×body80valid