Details

Time bar (total: 16.2s)

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07262
110262
212262
done12262

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
10.0ms
(+ (exp x) (exp (- x)))
17.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series96.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (exp x) (exp (- x)))
59.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.0s

Counts
58 → 58
Iterations

Useful iterations: 3 (843.0ms)

IterNodesCost
09421167
121019339
273718955
3415018671
done500018671

prune340.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))))))

rewrite196.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 206
Calls
4 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
27.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
117.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

series522.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
64.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
59.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
348.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.0s

Counts
218 → 218
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0212110071
1436102114
22053101215
done5000100878

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize48.0ms

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))))

rewrite110.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
4 → 140
Calls
4 calls:
26.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
17.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
32.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
27.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
53.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
70.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
47.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.3s

Counts
152 → 152
Iterations

Useful iterations: 3 (934.0ms)

IterNodesCost
08061616
117557356
263056504
3392655912
done500055912

prune1.0s

Pruning

2 alts after pruning (2 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))))
0.5b
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite183.0ms

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×expm1-log1p-u cbrt-undiv flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg
2×prod-exp cbrt-unprod
1×pow-prod-down associate-*r/ *-commutative
Counts
4 → 163
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
34.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
19.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
83.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
447.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
46.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
79.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
140.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify3.5s

Counts
175 → 175
Iterations

Useful iterations: done (3.5s)

IterNodesCost
016372045
141166036
2313763224
done500262472

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016702
121702
done21702

end0.0ms

sample583.0ms

Algorithm
intervals
Results
426.0ms8000×body80valid