Details

Time bar (total: 26.8s)

sample32.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify31.0ms

Calls
1 calls:
Slowest
31.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
40.0ms
(/ 2 (+ (exp x) (exp (- x))))

series60.0ms

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

simplify1.4s

Calls
37 calls:
Slowest
253.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
138.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
138.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
95.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
59.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
250×cbrt-div
228×*-un-lft-identity
150×cbrt-prod
142×add-sqr-sqrt
118×add-cube-cbrt
102×times-frac
100×frac-times associate-/r*
75×associate-/l*
52×distribute-lft-out
27×swap-sqr
25×clear-num frac-2neg
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
10×associate-*l/ associate-*r/
9×pow1/3 unswap-sqr
8×add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
154.0ms
(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
29.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
28.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
27.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series1.0s

Calls
4 calls:
Slowest
323.0ms
(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
236.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
229.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
226.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

simplify18.6s

Calls
445 calls:
Slowest
733.0ms
(* (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (/ 2 (+ (exp x) (exp (- x)))))
642.0ms
(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
566.0ms
(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
519.0ms
(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
322.0ms
(cbrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample777.0ms

Algorithm
intervals
Results
680.0ms8000×body80valid