Details

Time bar (total: 5.7s)

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

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

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
10.0ms
(+ (exp x) (exp (- x)))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (exp x) (exp (- x)))
38.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify853.0ms

Counts
60 → 60
Iterations
IterNodes
done2000
42000
31537
2573
1214
094

prune225.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
15×distribute-lft-out
13×fma-def
9×associate-/r*
8×div-inv
7×add-cbrt-cube add-log-exp
6×add-exp-log associate-/l*
5×neg-mul-1 distribute-rgt-neg-in
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num sum-log frac-2neg flip3-+ div-exp associate-/r/ flip-+
1×neg-sub0 +-commutative associate-+r- unsub-neg neg-log
Counts
3 → 108
Calls
3 calls:
23.0ms
(+ (/ -1 (exp x)) (- (exp x)))
25.0ms
(/ -2 (+ (/ -1 (exp x)) (- (exp x))))
8.0ms
(/ -1 (exp x))

series78.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ -1 (exp x)) (- (exp x)))
36.0ms
(/ -2 (+ (/ -1 (exp x)) (- (exp x))))
10.0ms
(/ -1 (exp x))

simplify876.0ms

Counts
117 → 117
Iterations
IterNodes
done2001
32001
2890
1329
0153

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))))

rewrite132.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 216
Calls
4 calls:
15.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
78.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
19.0ms
(/ 2 (+ (exp x) (exp (- x))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
118.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))
45.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.1s

Counts
228 → 228
Iterations
IterNodes
done2003
32003
21386
1473
0234

prune812.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample678.0ms

Algorithm
intervals
Results
575.0ms8000×body80valid