Details

Time bar (total: 21.1s)

sample32.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
31.0ms
(/ 2 (+ (exp x) (exp (- x))))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify3.0s

Counts
39 → 39
Iterations
IterNodes
43450
31105
2435
1170
079

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

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)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
438×sqrt-prod
384×times-frac
366×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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 hypot-def
Counts
4 → 410
Calls
4 calls:
20.0ms
(sqrt (+ (exp x) (exp (- x))))
94.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
18.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
19.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (+ (exp x) (exp (- x))))
157.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
156.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
159.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.1s

Counts
422 → 422
Iterations
IterNodes
22782
1914
0293

prune4.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

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)))))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
249×sqrt-prod
176×*-un-lft-identity
168×times-frac
123×add-sqr-sqrt
122×add-cube-cbrt
51×associate-*l*
27×distribute-lft-out
22×pow1
21×associate-/r*
19×add-cbrt-cube add-exp-log
18×associate-/l*
16×sqrt-div
13×pow-prod-up
8×sqrt-pow1 pow1/2 associate-/r/
5×frac-times prod-exp associate-*r/ cbrt-unprod
4×expm1-log1p-u cbrt-undiv sqrt-undiv flip3-+ pow-plus div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*l/
2×sqrt-unprod
1×cube-unmult associate-*r* *-commutative
Counts
4 → 307
Calls
4 calls:
167.0ms
(* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
35.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
43.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
21.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
137.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
176.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
175.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify5.3s

Counts
319 → 319
Iterations
IterNodes
35631
21706
1572
0247

prune4.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
215
115
012

end0.0ms

sample698.0ms

Algorithm
intervals
Results
590.0ms8000×body80valid