Details

Time bar (total: 8.3s)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
30.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.8s

Counts
36 → 36
Iterations

Useful iterations: 3 (578.0ms)

IterNodesCost
078492
1171472
2607440
33559437
done5000437

prune115.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 204
Calls
4 calls:
22.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
116.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
137.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
49.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.4s

Counts
216 → 216
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02284477
14743290
222173070
done50003019

prune651.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
48×add-sqr-sqrt
46×sqrt-prod
39×times-frac
31×add-cube-cbrt
21×associate-*l*
10×distribute-lft-out
8×pow1
7×add-exp-log add-cbrt-cube
6×associate-*r* associate-/r/ unswap-sqr
4×associate-/r*
3×sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+ div-inv associate-/l* add-log-exp
2×rem-sqrt-square sqrt-div
1×cbrt-undiv frac-2neg sqrt-unprod div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod
Counts
3 → 111
Calls
3 calls:
23.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
78.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0))
35.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series322.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
153.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0))
45.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.1s

Counts
120 → 120
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
01901894
14161770
217951675
done50011675

prune357.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
01220
11420
done1420

end0.0ms

sample625.0ms

Algorithm
intervals
Results
422.0ms8000×body80valid