Details

Time bar (total: 19.5s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite33.0ms

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-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
32.0ms
(/ 2 (+ (exp x) (exp (- x))))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.7s

Counts
37 → 37
Iterations
IterNodes
42501
3951
2418
1166
077

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.0b
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
438×sqrt-prod
384×times-frac
364×add-sqr-sqrt
331×*-un-lft-identity
197×add-cube-cbrt
94×swap-sqr
59×distribute-lft-out
48×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
14×associate-/r* sqrt-div
12×pow1 associate-/r/ associate-/l*
7×flip3-+ flip-+
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 401
Calls
4 calls:
12.0ms
(sqrt (+ (exp x) (exp (- x))))
112.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
21.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
23.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sqrt (+ (exp x) (exp (- x))))
159.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
156.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
176.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.0s

Counts
413 → 413
Iterations
IterNodes
22817
1901
0287

prune4.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
205×sqrt-prod
175×*-un-lft-identity
172×times-frac
131×add-sqr-sqrt
121×add-cube-cbrt
48×associate-*r*
27×pow1 distribute-lft-out
22×add-cbrt-cube add-exp-log
21×associate-/r*
18×associate-/l*
16×sqrt-div
14×pow-prod-up
12×sqrt-pow1 pow1/2
8×associate-/r/
6×pow-plus prod-exp cbrt-unprod
5×frac-times cbrt-undiv div-exp associate-*l/ unswap-sqr
4×sqrt-undiv flip3-+ pow-sqr flip-+ insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/
2×sqrt-unprod
1×swap-sqr associate-*l* *-commutative
Counts
4 → 307
Calls
4 calls:
178.0ms
(* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
37.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
17.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
22.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series611.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
150.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
144.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
189.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify4.8s

Counts
319 → 319
Iterations
IterNodes
36964
21668
1560
0229

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
214
114
012

end0.0ms

sample766.0ms

Algorithm
intervals
Results
650.0ms8000×body80valid