Details

Time bar (total: 10.1s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
Slowest
25.0ms
(+ (exp x) (exp (- x)))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(+ (exp x) (exp (- x)))
44.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.6s

Counts
44 → 60
Calls
44 calls:
Slowest
289.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
183.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
120.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
91.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
78.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))

prune430.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×add-sqr-sqrt
52×times-frac
38×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×expm1-log1p-u fma-def flip3-+ flip-+ insert-posit16 log1p-expm1-u
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 → 128
Calls
3 calls:
Slowest
73.0ms
(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
18.0ms
(/ (sqrt 2) (+ (exp x) (exp (- x))))
17.0ms
(+ (exp x) (exp (- x)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
125.0ms
(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
87.0ms
(/ (sqrt 2) (+ (exp x) (exp (- x))))
30.0ms
(+ (exp x) (exp (- x)))

simplify5.2s

Counts
127 → 137
Calls
127 calls:
Slowest
531.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
271.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
247.0ms
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2))))
233.0ms
(* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))
207.0ms
(* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ (sqrt 2) (+ (exp x) (exp (- x))))) (/ (sqrt 2) (+ (exp x) (exp (- x))))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample813.0ms

Algorithm
intervals
Results
687.0ms8000×body80valid