Details

Time bar (total: 17.4s)

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(/ 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)))

rewrite35.0ms

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
17.0ms
(+ (exp x) (exp (- x)))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(/ 2 (+ (exp x) (exp (- x))))
24.0ms
(+ (exp x) (exp (- x)))

simplify1.9s

Counts
42 → 53
Calls
42 calls:
Slowest
515.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
232.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
117.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
105.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
56.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))
0.5b
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
0.5b
(/ 2 (sqrt (+ (exp x) (exp (- x)))))
0.0b
(+ (exp x) (exp (- x)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
106×times-frac
100×*-un-lft-identity
67×sqrt-prod
64×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube
15×distribute-lft-out unswap-sqr
14×associate-/r*
11×div-exp
8×pow1 sqrt-div prod-exp associate-/r/
6×cbrt-undiv associate-/l* add-log-exp
5×flip3-+ flip-+
4×cbrt-unprod insert-posit16 div-inv
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg
1×frac-times +-commutative sum-log sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 205
Calls
4 calls:
Slowest
90.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))
33.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))
24.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
19.0ms
(+ (exp x) (exp (- x)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))
87.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
63.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))
39.0ms
(+ (exp x) (exp (- x)))

simplify11.1s

Counts
227 → 217
Calls
227 calls:
Slowest
533.0ms
(* (* (* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))))
447.0ms
(- (+ (* 5/48 (/ (pow x 4) (sqrt 1/2))) (* 2 (sqrt 1/2))) (+ (* 1/4 (/ (pow x 2) (sqrt 1/2))) (* 1/64 (/ (pow x 4) (pow (sqrt 1/2) 3)))))
352.0ms
(- (+ (* 5/96 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/8 (/ (pow x 2) (sqrt 1/2))) (* 1/128 (/ (pow x 4) (pow (sqrt 1/2) 3)))))
281.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* 2 2) 2) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
268.0ms
(/ (* (* 2 2) 2) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample831.0ms

Algorithm
intervals
Results
721.0ms8000×body80valid