Details

Time bar (total: 14.7s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
46.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify3.9s

Counts
36 → 36
Iterations

Useful iterations: 3 (785.0ms)

IterNodesCost
078492
1171472
2607440
33559437
done5000437

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

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))

rewrite166.0ms

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×pow-unpow 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 → 141
Calls
3 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
62.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
51.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

series287.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
144.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
71.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

simplify2.8s

Counts
150 → 150
Iterations

Useful iterations: 2 (788.0ms)

IterNodesCost
01762825
15932367
233782146
done50022146

prune620.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))))))

rewrite328.0ms

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×rec-exp pow-flip 1-exp 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 → 189
Calls
3 calls:
44.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
43.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
226.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

series342.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
163.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
73.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

simplify3.8s

Counts
198 → 198
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02444110
16653725
238353351
done50003343

prune930.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes159.0ms

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

sample809.0ms

Algorithm
intervals
Results
528.0ms8000×body80valid