Details

Time bar (total: 13.4s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
12.0ms
(+ (exp x) (exp (- x)))
22.0ms
(/ 2 (+ (exp x) (exp (- x))))

series66.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp x) (exp (- x)))
42.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.4s

Counts
53 → 53
Iterations
IterNodes
done5001
31725
2544
1205
090

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (- x)) (exp x))
0.0b
(/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x))))
0.0b
(cbrt (/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))))
0.0b
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))

rewrite589.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
52×associate-/r/
33×cbrt-prod
30×associate-*l/
28×*-un-lft-identity
18×associate-*r/
15×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×add-cube-cbrt
11×pow1
7×distribute-lft-out
6×times-frac swap-sqr add-log-exp
4×associate-*r* associate-*l* prod-exp cbrt-unprod insert-posit16
3×cbrt-undiv div-exp associate-/l*
2×div-inv
1×pow2 distribute-rgt-in +-commutative cbrt-div clear-num associate-/r* sum-log frac-2neg distribute-lft-in pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 147
Calls
4 calls:
30.0ms
(+ (exp (- x)) (exp x))
211.0ms
(/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x))))
165.0ms
(cbrt (/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))))
173.0ms
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (exp (- x)) (exp x))
95.0ms
(/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x))))
48.0ms
(cbrt (/ 8 (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))))
60.0ms
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))

simplify1.5s

Counts
159 → 159
Iterations
IterNodes
done5001
22786
1784
0261

prune605.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))
0.5b
(cbrt (+ (exp (- x)) (exp x)))
0.5b
(cbrt (+ (exp (- x)) (exp x)))
0.5b
(cbrt (+ (exp (- x)) (exp x)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
159.0ms
(* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))
30.0ms
(cbrt (+ (exp (- x)) (exp x)))
23.0ms
(cbrt (+ (exp (- x)) (exp x)))
21.0ms
(cbrt (+ (exp (- x)) (exp x)))

series862.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))
174.0ms
(cbrt (+ (exp (- x)) (exp x)))
177.0ms
(cbrt (+ (exp (- x)) (exp x)))
210.0ms
(cbrt (+ (exp (- x)) (exp x)))

simplify2.2s

Counts
111 → 111
Iterations
IterNodes
done5001
32417
2731
1269
0110

prune564.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

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)))))

rewrite284.0ms

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:
18.0ms
(sqrt (+ (exp x) (exp (- x))))
150.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
44.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
35.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sqrt (+ (exp x) (exp (- x))))
119.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
165.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
173.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify2.3s

Counts
413 → 413
Iterations
IterNodes
done5002
22622
1912
0287

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample552.0ms

Algorithm
intervals
Results
426.0ms8000×body80valid