Details

Time bar (total: 9.6s)

sample112.0ms

Algorithm
halfpoints

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24611
38111
411311
518111
631011
758911
897411
9149511
10168511
11182211
12184711
done184711

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity associate-*r*
15×add-sqr-sqrt
13×times-frac
10×add-cube-cbrt
add-exp-log add-cbrt-cube
pow1 associate-*l* distribute-lft-out
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
29.0ms
(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

simplify1.9s

Counts
38 → 38
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
090561
1234535
2805469
33072467
done5000467

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.0b
(sqrt (+ (exp x) (exp (- x))))
0.2b
(* (sqrt (+ (exp x) (exp (- x)))) (cos y))
0.7b
(* (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
29×add-sqr-sqrt
28×associate-*r*
25×sqrt-prod
23×add-cube-cbrt
21×times-frac
18×add-exp-log add-cbrt-cube
13×pow1
10×sqrt-div
associate-*l* associate-*l/
prod-exp cbrt-unprod
distribute-lft-out
flip3-+ flip-+
pow-prod-down add-log-exp
cbrt-undiv frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp *-commutative unswap-sqr
associate-*r/ div-inv
Counts
4 → 106
Calls
4 calls:
9.0ms
(sqrt (+ (exp x) (exp (- x))))
9.0ms
(sqrt (+ (exp x) (exp (- x))))
23.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (cos y))
52.0ms
(* (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (+ (exp x) (exp (- x))))
52.0ms
(sqrt (+ (exp x) (exp (- x))))
77.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (cos y))
62.0ms
(* (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

simplify921.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
01742212
14701985
217221608
done50011608

prune292.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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
01011
11211
done1211

end0.0ms

sample2.6s

Algorithm
halfpoints