Details

Time bar (total: 14.3s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×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:
58.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series81.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify3.6s

Counts
38 → 38
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
080510
1175489
2627457
33824454
done5000454

prune202.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 147
Calls
3 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
43.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
47.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

series273.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
129.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
79.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

simplify2.7s

Counts
156 → 156
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01822889
16032422
234292201
done50012193

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
0.5b
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
106×times-frac
97×*-un-lft-identity
67×sqrt-prod
63×add-cube-cbrt
31×add-exp-log
27×associate-*r* associate-*l*
19×add-cbrt-cube
15×unswap-sqr
14×associate-/r* distribute-lft-out
11×div-exp
8×sqrt-div prod-exp associate-/r/
7×pow1
6×cbrt-undiv associate-/l*
4×flip3-+ cbrt-unprod flip-+ div-inv
3×expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 195
Calls
3 calls:
53.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
44.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
256.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

series382.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
177.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
80.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

simplify3.7s

Counts
204 → 204
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02504190
16773794
238723422
done50003412

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample880.0ms

Algorithm
intervals
Results
617.0ms8000×body80valid