Details

Time bar (total: 12.4s)

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07262
110262
212262
done12262

prune8.0ms

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))))

rewrite32.0ms

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-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
30.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.6s

Counts
38 → 38
Iterations

Useful iterations: done (2.6s)

IterNodesCost
08015404
117514339
253014126
3174014047
done500914032

prune150.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv expm1-log1p clear-num frac-2neg flip3-+ div-exp flip-+ div-inv expm1-udef
Counts
2 → 46
Calls
2 calls:
0.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
25.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series322.0ms

Counts
2 → 6
Calls
2 calls:
267.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
55.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.9s

Counts
52 → 52
Iterations

Useful iterations: done (2.9s)

IterNodesCost
010021727
121518659
258918446
3180418327
done500018312

prune252.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
88×times-frac
70×add-sqr-sqrt
58×add-cube-cbrt
26×distribute-lft-out
24×swap-sqr
20×add-cbrt-cube add-exp-log
18×associate-*r* associate-*l*
12×associate-/r/
11×pow1
8×associate-/r*
7×cbrt-div
6×frac-times cbrt-undiv flip3-+ div-exp associate-*r/ flip-+ div-inv associate-/l*
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg
1×cbrt-prod pow2 pow-plus pow1/3 cube-unmult pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 179
Calls
4 calls:
35.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
35.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
131.0ms
(cbrt (* (/ 2.0 (+ (exp x) (exp (- x)))) (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))))))
115.0ms
(* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))))

series284.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
62.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
91.0ms
(cbrt (* (/ 2.0 (+ (exp x) (exp (- x)))) (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))))))
78.0ms
(* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))))

simplify3.5s

Counts
191 → 191
Iterations

Useful iterations: done (3.4s)

IterNodesCost
021085578
164479632
2228976783
done500075266

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09422
110422
done10422

end0.0ms

sample569.0ms

Algorithm
intervals
Results
415.0ms8000×body80valid