Details

Time bar (total: 5.5s)

sample109.0ms

Algorithm
halfpoints

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017
done50017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:
11.0ms
(+ (exp x) (exp (- x)))
55.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp x) (exp (- x)))
66.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify162.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277461
11018404
24757402
35001402
done5001402

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
53×sqrt-prod
51×*-un-lft-identity
46×associate-*l*
42×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt
25×add-exp-log add-cbrt-cube
11×pow1
10×prod-exp cbrt-unprod
9×distribute-lft-out
6×add-log-exp
5×cbrt-undiv div-exp
4×sqrt-div
3×flip3-+ pow-prod-down associate-*l/ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2
1×+-commutative frac-times associate-*r/ associate-*r* sum-log *-commutative div-inv
Counts
4 → 116
Calls
4 calls:
11.0ms
(+ (exp x) (exp (- x)))
18.0ms
(sqrt (+ (exp x) (exp (- x))))
17.0ms
(sqrt (+ (exp x) (exp (- x))))
124.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (exp x) (exp (- x)))
53.0ms
(sqrt (+ (exp x) (exp (- x))))
48.0ms
(sqrt (+ (exp x) (exp (- x))))
147.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))

simplify51.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04671901
119621442
250011325
done50011325

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))) (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))))
0.3b
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
0.3b
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
0.3b
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*l/
33×cbrt-div
20×frac-times
14×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 82
Calls
4 calls:
60.0ms
(* (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))) (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))))
75.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
75.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
77.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))) (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))))
270.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
272.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
272.0ms
(cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

simplify163.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02582497
19322134
249631694
350011694
done50011694

prune355.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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
0127
1127
done127

end0.0ms

sample2.0s

Algorithm
halfpoints