Details

Time bar (total: 5.9s)

sample111.0ms

Algorithm
halfpoints

simplify56.0ms

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))

rewrite65.0ms

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)))
52.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
64.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify162.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277461
11018404
24757402
35001402
done5001402

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
48×sqrt-prod
38×times-frac
35×add-sqr-sqrt
29×add-cube-cbrt
19×associate-*l*
11×pow1
10×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×sqrt-div add-log-exp
4×rem-sqrt-square
3×pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv
2×sqrt-pow1 pow1/2
1×+-commutative frac-times flip3-+ associate-*r/ associate-*r* sum-log *-commutative flip-+
Counts
4 → 105
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
100.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
21.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
19.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

series344.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
122.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
98.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
100.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify46.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03891328
113351167
250021146
done50021146

prune364.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:
12.0ms
(+ (exp x) (exp (- x)))
52.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
60.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify160.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277461
11018404
24757402
35001402
done5001402

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
37×times-frac
32×cbrt-prod
31×add-sqr-sqrt
28×add-cube-cbrt
17×pow1
16×add-exp-log sqrt-prod add-cbrt-cube
9×distribute-lft-out
8×pow-prod-down prod-exp cbrt-unprod
5×sqrt-div
4×cbrt-div add-log-exp
3×associate-*r/ associate-*l/ div-inv
2×rem-sqrt-square pow1/3
1×frac-times sqrt-pow1 pow1/2 associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
118.0ms
(* (* (fabs (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
19.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
10.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
10.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))

series720.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (* (fabs (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
105.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
175.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
174.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify54.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04801841
118251630
250011612
done50011612

prune434.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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
0189
1189
done189

end0.0ms

sample2.4s

Algorithm
halfpoints