Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify208.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify66.0ms

Counts
36 → 36

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
98×sqrt-prod
90×times-frac
89×add-sqr-sqrt
61×add-cube-cbrt
29×swap-sqr
26×distribute-lft-out
21×associate-*r* associate-*l*
18×pow1
12×associate-/r/
9×add-exp-log add-cbrt-cube unswap-sqr
8×sqrt-pow1 pow1/2 associate-/r*
6×flip3-+ flip-+ div-inv associate-/l*
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 174
Calls
3 calls:
117.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
33.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series200.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
52.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify66.0ms

Counts
183 → 183

prune423.0ms

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))))
0.5b
(* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) 1))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))
0.5b
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
100×sqrt-prod
86×times-frac
66×add-sqr-sqrt
61×add-cube-cbrt
33×associate-*r*
23×distribute-lft-out
13×pow1 add-exp-log sqrt-div add-cbrt-cube
9×associate-/l*
8×associate-/r* associate-/r/
7×pow-prod-down
5×frac-times associate-*l/
4×sqrt-pow1 flip3-+ pow1/2 flip-+ div-inv add-log-exp
3×rem-sqrt-square associate-*r/ prod-exp cbrt-unprod
2×cbrt-undiv frac-2neg sqrt-unprod div-exp clear-num
1×associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
26.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
23.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
157.0ms
(* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) 1))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))
26.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
113.0ms
(* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) 1))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))
139.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify88.0ms

Counts
194 → 194

prune625.0ms

Pruning

2 alts after pruning (0 fresh and 2 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

simplify1.0ms

end0.0ms

sample474.0ms

Algorithm
intervals
Results
334.0ms8000×body80valid