Details

Time bar (total: 21.0s)

sample160.0ms

Algorithm
halfpoints

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
61039
5247
4128
383
248
130
016

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.6b
(- (exp x) (exp (- x)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×*-un-lft-identity
35×associate-*l*
31×add-cube-cbrt
29×times-frac
14×add-cbrt-cube add-exp-log
9×prod-diff
8×pow1 add-log-exp
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
3×fma-def fma-neg
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 122
Calls
4 calls:
11.0ms
(+ (exp x) (exp (- x)))
72.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
62.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms
(- (exp x) (exp (- x)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (exp x) (exp (- x)))
68.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
121.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
73.0ms
(- (exp x) (exp (- x)))

simplify1.7s

Counts
134 → 134
Iterations
IterNodes
done5000
22816
1583
0231

prune826.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.6b
(- (exp x) (exp (- x)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
59×*-un-lft-identity
42×times-frac
39×add-cube-cbrt
38×associate-*l*
34×sqrt-prod
11×add-cbrt-cube add-exp-log
9×pow1 prod-diff
6×associate-*r* distribute-lft-out add-log-exp
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg prod-exp cbrt-unprod div-inv
2×rem-sqrt-square sqrt-div pow-prod-down associate-*l/ *-commutative
1×cbrt-undiv sub-neg sqrt-pow1 flip3-- pow1/2 diff-log div-exp flip--
Counts
4 → 137
Calls
4 calls:
18.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
66.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
49.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms
(- (exp x) (exp (- x)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
124.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
103.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms
(- (exp x) (exp (- x)))

simplify1.3s

Counts
149 → 149
Iterations
IterNodes
done5001
22362
1603
0272

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b
(expm1 (log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.3b
(log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
16.6b
(- (exp x) (exp (- x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×add-cbrt-cube prod-diff add-exp-log
6×pow1 add-log-exp
5×expm1-log1p-u
4×log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv log1p-udef expm1-log1p sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ log1p-expm1 *-commutative div-inv flip-- expm1-udef
Counts
4 → 90
Calls
4 calls:
71.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms
(expm1 (log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.0ms
(log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
13.0ms
(- (exp x) (exp (- x)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
232.0ms
(expm1 (log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
323.0ms
(log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
44.0ms
(- (exp x) (exp (- x)))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5002
21944
1485
0205

prune880.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b
(log1p (expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.6b
(expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
16.6b
(- (exp x) (exp (- x)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×add-cbrt-cube prod-diff add-exp-log
6×pow1 add-log-exp
5×log1p-expm1-u
4×expm1-log1p-u distribute-lft-out-- difference-of-squares
3×fma-neg associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv log1p-udef expm1-log1p sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ log1p-expm1 *-commutative div-inv flip-- expm1-udef
Counts
4 → 90
Calls
4 calls:
55.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms
(log1p (expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
1.0ms
(expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
25.0ms
(- (exp x) (exp (- x)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
282.0ms
(log1p (expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
234.0ms
(expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
41.0ms
(- (exp x) (exp (- x)))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5001
21971
1497
0208

prune931.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample7.1s

Algorithm
halfpoints