Details

Time bar (total: 12.9s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×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

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify3.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (280.0ms)

IterNodesCost
078492
1162472
2378438
3766437
43036437
done5001437

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)))

rewrite183.0ms

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:
61.0ms
(cbrt (pow (/ 2.0 (+ (exp (- x)) (exp x))) 3))
45.0ms
(pow (/ 2.0 (+ (exp (- x)) (exp x))) 3)
56.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(cbrt (pow (/ 2.0 (+ (exp (- x)) (exp x))) 3))
123.0ms
(pow (/ 2.0 (+ (exp (- x)) (exp x))) 3)
77.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))

simplify1.1s

Counts
150 → 150
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01792825
14592355
213722111
done50002074

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
188×sqrt-prod
168×*-un-lft-identity times-frac
118×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×pow-exp 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 sqr-pow
Counts
4 → 266
Calls
4 calls:
63.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp (- x)) (exp x)))) 3)
68.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp (- x)) (exp x)))) 3)
45.0ms
(sqrt (+ (exp (- x)) (exp x)))
41.0ms
(sqrt (+ (exp (- x)) (exp x)))

series856.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp (- x)) (exp x)))) 3)
374.0ms
(pow (/ (sqrt 2.0) (sqrt (+ (exp (- x)) (exp x)))) 3)
104.0ms
(sqrt (+ (exp (- x)) (exp x)))
66.0ms
(sqrt (+ (exp (- x)) (exp x)))

simplify1.4s

Counts
278 → 278
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02146532
16685794
219845056
done50005036

prune848.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

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))))))

rewrite150.0ms

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×flip3-+ flip-+ div-inv add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
2 → 63
Calls
2 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
101.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
86.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.8s

Counts
69 → 69
Iterations

Useful iterations: 3 (355.0ms)

IterNodesCost
0123918
1211822
2439761
3853759
43170759
done5002759

prune187.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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

sample530.0ms

Algorithm
intervals
Results
395.0ms8000×body80valid