Details

Time bar (total: 57.1s)

sample29.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify16.0ms

Calls
1 calls:
Slowest
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
23.0ms
(/ 2 (+ (exp x) (exp (- x))))

series60.0ms

Calls
1 calls:
Slowest
60.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.6s

Calls
37 calls:
Slowest
436.0ms
(/ (* (* 2 2) 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)))))
115.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
102.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
50.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune279.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
98×sqrt-prod
90×times-frac
89×add-sqr-sqrt
61×add-cube-cbrt
29×swap-sqr
26×distribute-lft-out
21×associate-*r* associate-*l*
18×pow1
12×associate-/r/
9×add-cbrt-cube add-exp-log unswap-sqr
8×associate-/r* sqrt-pow1 pow1/2
6×flip3-+ flip-+ div-inv associate-/l*
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
3 calls:
Slowest
114.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
24.0ms
(/ 2 (+ (exp x) (exp (- x))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

series200.0ms

Calls
3 calls:
Slowest
107.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
57.0ms
(/ 2 (+ (exp x) (exp (- x))))
35.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify10.1s

Calls
223 calls:
Slowest
846.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
478.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
274.0ms
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2))))
258.0ms
(sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
250.0ms
(/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x)))

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))
0.0b
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
0.0b
(* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
84×frac-times
81×flip3-+ flip-+
52×associate-/r/
42×associate-*r/
33×cbrt-prod
24×associate-*l/
17×pow1 add-cbrt-cube add-exp-log
10×*-un-lft-identity
9×add-sqr-sqrt
8×add-cube-cbrt
6×times-frac prod-exp cbrt-unprod
5×pow-prod-up
4×distribute-rgt-in distribute-lft-in associate-*l*
3×cbrt-undiv div-exp pow-prod-down insert-posit16 associate-/l* add-log-exp
2×div-inv
1×pow2 cbrt-div clear-num associate-/r* frac-2neg pow-plus pow1/3 cube-unmult associate-*r* pow-sqr *-commutative distribute-lft-out unswap-sqr
Calls
3 calls:
Slowest
145.0ms
(* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
132.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))
130.0ms
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))

series184.0ms

Calls
3 calls:
Slowest
76.0ms
(* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
65.0ms
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
43.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))

simplify39.6s

Calls
149 calls:
Slowest
1.4s
(* (* (exp x) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))
961.0ms
(* (+ (pow (exp (- x)) 3) (pow (exp x) 3)) (* (+ (pow (exp (- x)) 3) (pow (exp x) 3)) (+ (pow (exp (- x)) 3) (pow (exp x) 3))))
939.0ms
(* (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x))) (* (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
902.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x)))))))
885.0ms
(cbrt (/ 8 (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x)))))))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample708.0ms

Algorithm
intervals
Results
596.0ms8000×body80valid