Details

Time bar (total: 10.6s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
30.0ms
(/ 2 (+ (exp x) (exp (- x))))
9.0ms
(+ (exp x) (exp (- x)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(/ 2 (+ (exp x) (exp (- x))))
42.0ms
(+ (exp x) (exp (- x)))

simplify2.0s

Counts
42 → 53
Calls
42 calls:
Slowest
521.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
188.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
171.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
124.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
94.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))

prune498.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
53×add-sqr-sqrt
52×times-frac
37×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
14×distribute-lft-out
10×add-cbrt-cube add-exp-log
6×associate-*l* associate-/l* unswap-sqr
5×pow1 add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ flip-+ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
3 → 119
Calls
3 calls:
Slowest
72.0ms
(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
36.0ms
(/ (sqrt 2) (+ (exp x) (exp (- x))))
9.0ms
(+ (exp x) (exp (- x)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
116.0ms
(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
76.0ms
(/ (sqrt 2) (+ (exp x) (exp (- x))))
37.0ms
(+ (exp x) (exp (- x)))

simplify5.5s

Counts
125 → 128
Calls
125 calls:
Slowest
541.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
242.0ms
(- (+ (* 1/2 (sqrt 2)) (* 5/48 (* (sqrt 2) (pow x 4)))) (* 1/4 (* (sqrt 2) (pow x 2))))
235.0ms
(/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x)))
228.0ms
(* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))
196.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample738.0ms

Algorithm
intervals
Results
632.0ms8000×body80valid