Details

Time bar (total: 12.6s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
26.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify3.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (276.0ms)

IterNodesCost
080510
1166489
2395455
3824454
43341454
done5000454

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

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:
26.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
42.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series285.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
127.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
87.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01822889
14642406
214052166
done50002121

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
0.0b
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
0.2b
(sqrt (+ (exp x) (exp (- x))))
0.2b
(sqrt (+ (exp x) (exp (- x))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
188×sqrt-prod
168×*-un-lft-identity times-frac
122×add-sqr-sqrt
116×add-cube-cbrt
96×unpow-prod-down cube-prod
26×distribute-lft-out
12×sqrt-div
10×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×pow-unpow flip3-+ flip-+
4×expm1-log1p-u pow-exp log1p-expm1-u div-inv add-log-exp rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult pow-to-exp rem-sqrt-square sqrt-undiv pow-pow sqrt-pow1 pow1/2 unpow3 div-exp sqrt-pow2 hypot-def sqr-pow
Counts
4 → 276
Calls
4 calls:
36.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
54.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
20.0ms
(sqrt (+ (exp x) (exp (- x))))
21.0ms
(sqrt (+ (exp x) (exp (- x))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
356.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 3)
62.0ms
(sqrt (+ (exp x) (exp (- x))))
67.0ms
(sqrt (+ (exp x) (exp (- x))))

simplify1.4s

Counts
288 → 288
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02166616
16785864
220285126
done50015092

prune760.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.2b
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
19×log-pow
18×exp-prod
7×distribute-lft-out
4×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1 log-prod associate-/l*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
2 → 67
Calls
2 calls:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
57.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

series135.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
70.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.9s

Counts
73 → 73
Iterations

Useful iterations: 3 (301.0ms)

IterNodesCost
0127958
1217856
2457795
3912793
43492793
done5000793

prune172.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample431.0ms

Algorithm
intervals
Results
324.0ms8000×body80valid