Details

Time bar (total: 6.1s)

sample112.0ms

Algorithm
halfpoints

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027
done50027

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))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×fma-def associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
13.0ms
(+ (exp x) (exp (- x)))
59.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
66.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify165.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0286487
11053428
24913426
35001426
done5001426

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
48×sqrt-prod
38×times-frac
36×add-sqr-sqrt
30×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×expm1-log1p-u rem-sqrt-square log1p-expm1-u
3×fma-def 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 → 116
Calls
4 calls:
13.0ms
(+ (exp x) (exp (- x)))
115.0ms
(* (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))
22.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

series352.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (exp x) (exp (- x)))
121.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
108.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
100.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify42.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
04021396
113881234
250011214
done50011214

prune432.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
57×sqrt-prod
56×*-un-lft-identity
48×times-frac
44×add-sqr-sqrt
36×add-cube-cbrt
19×associate-*l*
17×log-prod
13×exp-sum
12×pow1
10×add-exp-log distribute-lft-out
9×add-cbrt-cube
6×sqrt-div
5×rem-sqrt-square
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv
2×log-div sqrt-pow1 pow1/2
1×frac-times flip3-+ associate-*r/ rem-log-exp associate-*r* log-pow *-commutative flip-+
Counts
4 → 126
Calls
4 calls:
137.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (exp (log (+ (exp x) (exp (- x))))) 2.0)) (cos y)))
29.0ms
(sqrt (/ (exp (log (+ (exp x) (exp (- x))))) 2.0))
22.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
11.0ms
(log (+ (exp x) (exp (- x))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (exp (log (+ (exp x) (exp (- x))))) 2.0)) (cos y)))
99.0ms
(sqrt (/ (exp (log (+ (exp x) (exp (- x))))) 2.0))
99.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
79.0ms
(log (+ (exp x) (exp (- x))))

simplify52.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
05001738
115351461
250011412
done50011412

prune469.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube
8×pow1 sqrt-pow1
6×exp-prod sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×rem-sqrt-square pow1/2 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
4 → 80
Calls
4 calls:
17.0ms
(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
3.0ms
(sqrt (exp x))
3.0ms
(sqrt (exp x))

series175.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
60.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
16.0ms
(sqrt (exp x))
13.0ms
(sqrt (exp x))

simplify104.0ms

Counts
92 → 92
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0268701
1924578
23961554
35002548
done5002548

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
01917
11917
done1917

end0.0ms

sample2.6s

Algorithm
halfpoints