Details

Time bar (total: 1.8m)

sample1.9s

Algorithm
halfpoints

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (84.0ms)

IterNodesCost
01624
13011
24811
38311
411811
523111
697911
done500011

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×add-sqr-sqrt associate-*l*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 47
Calls
2 calls:
214.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
68.0ms
(+ (exp x) (exp (- x)))

series790.0ms

Counts
2 → 6
Calls
2 calls:
437.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
346.0ms
(+ (exp x) (exp (- x)))

simplify4.4s

Counts
53 → 53
Iterations

Useful iterations: done (4.3s)

IterNodesCost
0109709
1284694
21320608
done5001606

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize276.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
31.0ms
(cbrt (+ (exp x) (exp (- x))))
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
9.0ms
(cbrt 2.0)

series971.0ms

Counts
4 → 6
Calls
4 calls:
963.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify8.8s

Counts
53 → 53
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
069417
1147399
2532359
33031343
done5000343

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize152.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 50
Calls
4 calls:
18.0ms
(cbrt (+ (exp x) (exp (- x))))
24.0ms
(cbrt (+ (exp x) (exp (- x))))
3.0ms
(cbrt 2.0)
3.0ms
(cbrt 2.0)

series1.9s

Counts
4 → 8
Calls
4 calls:
942.0ms
(cbrt (+ (exp x) (exp (- x))))
937.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify19.4s

Counts
58 → 58
Iterations

Useful iterations: 3 (12.7s)

IterNodesCost
065560
1140528
2515464
32902444
done5000444

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes476.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11211
done1211

end1.0ms

sample54.4s

Algorithm
halfpoints