Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
13.0ms
(+ (exp x) (exp (- x)))
47.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series90.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (exp x) (exp (- x)))
51.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify31.0ms

Counts
51 → 51

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
98×sqrt-prod
90×add-sqr-sqrt times-frac
62×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-exp-log add-cbrt-cube
9×unswap-sqr
8×sqrt-pow1 pow1/2 associate-/r*
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
18.0ms
(+ (exp x) (exp (- x)))
25.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
118.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
48.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
103.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify90.0ms

Counts
198 → 198

prune611.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(* (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.5b
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
80×add-sqr-sqrt
77×times-frac
57×add-cube-cbrt
56×sqrt-prod
51×associate-*r*
20×distribute-lft-out
15×add-exp-log add-cbrt-cube
13×pow1
10×associate-*l*
9×associate-/l* unswap-sqr
8×associate-/r* associate-/r/
6×pow-prod-down
4×sqrt-pow1 flip3-+ sqrt-div associate-*r/ flip-+ div-inv add-log-exp
3×cbrt-undiv div-exp prod-exp cbrt-unprod
2×frac-2neg pow1/2 clear-num *-commutative
1×frac-times sqrt-unprod associate-*l/
Counts
4 → 183
Calls
4 calls:
37.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
34.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
139.0ms
(* (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
70.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
126.0ms
(* (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
141.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify58.0ms

Counts
195 → 195

prune669.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

61.7% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample591.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid