Details

Time bar (total: 16.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07262
110262
212262
done12262

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 45
Calls
2 calls:
17.0ms
(+ (exp x) (exp (- x)))
19.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series101.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp x) (exp (- x)))
77.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.8s

Counts
51 → 51
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
09019881
120118128
271517794
3424617478
done500017478

prune212.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
102×times-frac
96×cbrt-prod
95×add-sqr-sqrt
71×add-cube-cbrt
30×distribute-lft-out
27×swap-sqr
21×associate-*r* associate-*l*
14×associate-/r/
12×associate-/r* add-exp-log
11×pow1
10×add-cbrt-cube
9×associate-/l* unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3
4×cbrt-div add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
20.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
19.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
29.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
116.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
69.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
74.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
350.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.1s

Counts
210 → 210
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0208107095
142799288
2201598578
done500098378

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize64.0ms

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
48×times-frac
40×add-sqr-sqrt add-cube-cbrt
16×associate-/r* distribute-lft-out
12×add-cbrt-cube add-exp-log associate-/l*
8×associate-/r/
4×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv add-log-exp
Counts
4 → 132
Calls
4 calls:
17.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
17.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
30.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
62.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
50.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
49.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.6s

Counts
144 → 144
Iterations

Useful iterations: 3 (916.0ms)

IterNodesCost
07858880
117154720
261753968
3376953176
done500053176

prune900.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize55.0ms

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
(/ 2.0 (+ (exp x) (exp (- x))))
0.5b
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
64×add-sqr-sqrt times-frac
48×add-cube-cbrt
30×associate-*r*
20×sqrt-prod
18×distribute-lft-out
15×add-cbrt-cube add-exp-log
12×associate-/r*
9×associate-/l*
8×associate-/r/
6×pow1 associate-*l* unswap-sqr
4×cbrt-undiv flip3-+ div-exp flip-+ div-inv add-log-exp
3×clear-num frac-2neg
2×prod-exp cbrt-unprod
1×pow-prod-down associate-*r/ *-commutative
Counts
4 → 155
Calls
4 calls:
17.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
20.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
52.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
52.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
130.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify3.4s

Counts
167 → 167
Iterations

Useful iterations: done (3.4s)

IterNodesCost
015969149
140463240
2311960713
done500060553

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
016702
121702
done21702

end0.0ms

sample486.0ms

Algorithm
intervals
Results
363.0ms8000×body80valid