Details

Time bar (total: 23.5s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify26.0ms

Calls
1 calls:
Slowest
26.0ms
(/ 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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
4×associate-/r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt
2×pow1 flip3-+ add-cbrt-cube add-exp-log associate-/r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative clear-num sum-log frac-2neg div-inv
Calls
2 calls:
Slowest
5.0ms
(+ (exp x) (exp (- x)))
3.0ms
(/ 2 (+ (exp x) (exp (- x))))

series94.0ms

Calls
2 calls:
Slowest
57.0ms
(/ 2 (+ (exp x) (exp (- x))))
37.0ms
(+ (exp x) (exp (- x)))

simplify663.0ms

Calls
14 calls:
Slowest
255.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
123.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
45.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
39.0ms
(+ (exp (* -1 x)) (exp x))
28.0ms
(* (exp (exp x)) (exp (exp (- x))))

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
7×log-pow
6×add-sqr-sqrt exp-prod add-cube-cbrt
5×add-log-exp
4×pow1 associate-/r* associate-/r/
3×log-prod flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16
2×div-inv distribute-lft-out
1×+-commutative clear-num sum-log frac-2neg rem-log-exp
Calls
3 calls:
Slowest
5.0ms
(+ (exp x) (exp (- x)))
3.0ms
(/ 2 (+ (exp x) (exp (- x))))
3.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))

series127.0ms

Calls
3 calls:
Slowest
51.0ms
(/ 2 (+ (exp x) (exp (- x))))
46.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
30.0ms
(+ (exp x) (exp (- x)))

simplify1.1s

Calls
26 calls:
Slowest
178.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
173.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
114.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
106.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
46.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))

prune569.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×exp-prod sqrt-prod
15×add-sqr-sqrt add-cube-cbrt
13×associate-*r*
10×associate-/r/ log-pow
9×associate-*l*
8×associate-/r*
7×pow1
6×log-prod add-cbrt-cube add-exp-log
5×flip3-+ flip-+ div-inv add-log-exp
4×insert-posit16
3×distribute-rgt-in distribute-lft-in
2×clear-num frac-2neg distribute-lft-out
1×sqrt-div pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod rem-exp-log
Calls
4 calls:
Slowest
17.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
3.0ms
(exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))
3.0ms
(/ 2 (+ (exp x) (exp (- x))))
3.0ms
(/ 2 (+ (exp x) (exp (- x))))

series345.0ms

Calls
4 calls:
Slowest
177.0ms
(exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))
67.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
52.0ms
(/ 2 (+ (exp x) (exp (- x))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify3.7s

Calls
65 calls:
Slowest
350.0ms
(- (+ (* 5/96 (/ (* (sqrt 2) (* (exp (* (sqrt 2) (sqrt 1/2))) (pow x 4))) (sqrt 1/2))) (+ (exp (* (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (* (pow (sqrt 2) 2) (* (exp (* (sqrt 2) (sqrt 1/2))) (pow x 4))) (pow (sqrt 1/2) 2))))) (+ (* 1/8 (/ (* (sqrt 2) (* (exp (* (sqrt 2) (sqrt 1/2))) (pow x 2))) (sqrt 1/2))) (* 1/128 (/ (* (sqrt 2) (* (exp (* (sqrt 2) (sqrt 1/2))) (pow x 4))) (pow (sqrt 1/2) 3)))))
305.0ms
(* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (* (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))
231.0ms
(- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2))))
229.0ms
(log (exp (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))))
213.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

3.3b
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
1.0b
(* (exp x) (exp (- x)))
0.8b
(* (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (log (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))))
0.0b
(pow (exp (- x)) 3)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
62×exp-neg
42×associate-*r/
40×neg-sub0 exp-diff
27×frac-sub
21×un-div-inv
15×sub-div
14×add-sqr-sqrt *-un-lft-identity associate-*l/ add-cube-cbrt
13×associate-*r*
12×frac-times
10×pow1 exp-prod
9×add-cbrt-cube
7×log-pow
6×log-prod associate-*l* add-exp-log add-log-exp
5×pow-pow
4×insert-posit16
3×distribute-rgt-in unpow-prod-down distribute-lft-in cube-prod
2×cube-div flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+
1×cube-mult pow-to-exp neg-mul-1 sub-neg flip3-- distribute-rgt-out-- diff-log unpow3 rgt-mult-inverse pow-exp div-inv flip-- rem-cube-cbrt
Calls
4 calls:
Slowest
84.0ms
(* (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (log (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))))
14.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
6.0ms
(* (exp x) (exp (- x)))
5.0ms
(pow (exp (- x)) 3)

series332.0ms

Calls
4 calls:
Slowest
168.0ms
(* (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (log (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))))
81.0ms
(* (exp x) (exp (- x)))
58.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))
26.0ms
(pow (exp (- x)) 3)

simplify11.8s

Calls
148 calls:
Slowest
665.0ms
(* (log (sqrt (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
526.0ms
(log (exp (/ 2 (- (* (pow (exp x) 3) (pow (exp x) 3)) (* (pow (exp (- x)) 3) (pow (exp (- x)) 3))))))
484.0ms
(* (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (log (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))))
432.0ms
(* 2 (/ (- (+ (pow (exp x) 2) (pow (exp (* -1 x)) 2)) (* (exp (* -1 x)) (exp x))) (+ (pow (exp x) 3) (pow (exp (* -1 x)) 3))))
423.0ms
(log (exp (/ 2 (+ (pow (pow (exp x) 3) 3) (pow (pow (exp (- x)) 3) 3)))))

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample738.0ms

Algorithm
intervals
Results
640.0ms8000×body80valid