Details

Time bar (total: 8.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
47.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify3.2s

Counts
38 → 38
Iterations

Useful iterations: 3 (340.0ms)

IterNodesCost
080510
1166489
2395455
3824454
43341454
done5000454

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.5b
(* (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
0.5b
(* (exp x) (exp (- x)))
3.6b
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite915.0ms

Algorithm
rewrite-expression-head
Rules
61×exp-neg
44×associate-*r/
39×neg-sub0 exp-diff
32×*-un-lft-identity
30×add-sqr-sqrt
27×frac-sub
23×add-cube-cbrt
21×associate-*l* un-div-inv
19×exp-prod
15×sub-div
14×frac-times
13×times-frac associate-*l/
12×add-cbrt-cube
pow1 add-exp-log
associate-*r* pow-prod-down add-log-exp
expm1-log1p-u pow-pow pow-prod-up log1p-expm1-u
distribute-lft-neg-in unpow-prod-down pow-unpow distribute-rgt-neg-in flip3-+ cube-prod prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
associate-/r/ *-commutative
cbrt-undiv distribute-rgt-in cube-mult pow-to-exp neg-mul-1 sub-neg flip3-- distribute-rgt-out-- distribute-lft-in fma-neg diff-log unpow3 rgt-mult-inverse div-exp prod-diff pow-exp flip-- div-inv rem-cube-cbrt sqr-pow
Counts
4 → 164
Calls
4 calls:
5.0ms
(pow (exp x) 3)
808.0ms
(* (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
30.0ms
(* (exp x) (exp (- x)))
64.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (exp x) 3)
197.0ms
(* (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
64.0ms
(* (exp x) (exp (- x)))
56.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify2.2s

Counts
176 → 176
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03133591
18632658
234562006
done50011865

prune654.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample626.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid