Details

Time bar (total: 2.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify203.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025
done50025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms
(+ (exp x) (exp (- x)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))

simplify115.0ms

Counts
51 → 51
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0191411
1633377
23009375
35001374
done5001374

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 flip3-+ associate-/r/ flip-+
2×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 90
Calls
4 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
14.0ms
(+ (exp x) (exp (- x)))
12.0ms
(+ (exp x) (exp (- x)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))
25.0ms
(+ (exp x) (exp (- x)))

simplify130.0ms

Counts
102 → 102
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0191822
1633754
23009750
35001748
done5001748

prune331.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
104×sqrt-prod
96×*-un-lft-identity
84×times-frac
64×add-sqr-sqrt add-cube-cbrt
16×distribute-lft-out
14×associate-/r*
12×associate-/l*
8×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-+ sqrt-div associate-/r/ flip-+
2×cbrt-undiv +-commutative sqrt-undiv frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 164
Calls
4 calls:
27.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
24.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
12.0ms
(+ (exp x) (exp (- x)))
12.0ms
(+ (exp x) (exp (- x)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
106.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
22.0ms
(+ (exp x) (exp (- x)))
22.0ms
(+ (exp x) (exp (- x)))

simplify40.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02852170
19472028
250011946
done50011946

prune359.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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
01013
11013
done1013

end0.0ms

sample284.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid