Details

Time bar (total: 30.2s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify11.4s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
36.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
21.0ms
(+ (exp x) (exp (- x)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
29.0ms
(+ (exp x) (exp (- x)))

simplify1.3s

Counts
51 → 51

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
0.5b
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
53×add-sqr-sqrt
52×times-frac
37×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
5×pow1 add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 116
Calls
3 calls:
25.0ms
(+ (exp x) (exp (- x)))
37.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
116.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series292.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (exp x) (exp (- x)))
95.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
165.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify834.0ms

Counts
125 → 125

prune371.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
0.0b
(pow (exp x) 3)
0.0b
(* (exp (- x)) (exp (- x)))
3.2b
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
79×exp-prod
65×exp-neg
46×add-sqr-sqrt
44×neg-sub0 add-cube-cbrt exp-diff
42×associate-*r/
27×times-frac frac-sub
24×distribute-rgt-neg-in
21×un-div-inv
20×distribute-lft-neg-in distribute-lft-out
19×unpow-prod-down cube-prod
16×frac-times
15×pow-prod-down sub-div
14×associate-*l/
13×pow-sqr pow-prod-up
12×pow1
9×associate-/r* add-cbrt-cube
8×neg-mul-1
6×add-exp-log add-log-exp
4×pow-pow sum-cubes
3×pow-unpow swap-sqr associate-*r* associate-*l* associate-/l*
2×associate-/r/
1×cbrt-undiv pow2 cube-mult pow-to-exp sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ pow-plus diff-log unpow3 div-exp pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 206
Calls
4 calls:
81.0ms
(/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
6.0ms
(pow (exp x) 3)
72.0ms
(* (exp (- x)) (exp (- x)))
80.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series307.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
38.0ms
(pow (exp x) 3)
29.0ms
(* (exp (- x)) (exp (- x)))
93.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify2.3s

Counts
218 → 218

prune582.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify11.3s

end0.0ms

sample615.0ms

Algorithm
intervals
Results
428.0ms8000×body80valid