Details

Time bar (total: 6.8s)

sample26.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
9.0ms
(+ (exp x) (exp (- x)))
19.0ms
(/ 2 (+ (exp x) (exp (- x))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (exp x) (exp (- x)))
42.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.1s

Counts
53 → 53
Iterations
IterNodes
done2107
42107
31725
2544
1205
090

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ -1 (exp x)) (exp x))
0.0b
(/ -2 (- (/ -1 (exp x)) (exp x)))
0.0b
(/ -1 (exp x))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
32×*-un-lft-identity times-frac
22×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
7×add-cbrt-cube
6×add-exp-log associate-/l*
5×distribute-lft-out-- add-log-exp
3×pow1 insert-posit16
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp associate-/r/ div-inv flip--
1×sub-neg diff-log
Counts
3 → 86
Calls
3 calls:
35.0ms
(- (/ -1 (exp x)) (exp x))
46.0ms
(/ -2 (- (/ -1 (exp x)) (exp x)))
8.0ms
(/ -1 (exp x))

series94.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (/ -1 (exp x)) (exp x))
40.0ms
(/ -2 (- (/ -1 (exp x)) (exp x)))
15.0ms
(/ -1 (exp x))

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done2003
42003
31962
2659
1301
0151

prune348.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-cbrt-cube add-exp-log
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×insert-posit16 add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 208
Calls
4 calls:
22.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
125.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
28.0ms
(/ 2 (+ (exp x) (exp (- x))))
29.0ms
(/ 2 (+ (exp x) (exp (- x))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
150.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
51.0ms
(/ 2 (+ (exp x) (exp (- x))))
37.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.1s

Counts
220 → 220
Iterations
IterNodes
done2000
32000
21210
1459
0228

prune811.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample745.0ms

Algorithm
intervals
Results
628.0ms8000×body80valid