Details

Time bar (total: 7.5s)

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify4.0ms

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

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
15.0ms
(+ (exp x) (exp (- x)))
21.0ms
(/ 2 (+ (exp x) (exp (- x))))

series67.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (exp x) (exp (- x)))
36.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.7s

Counts
53 → 53
Iterations
IterNodes
done5000
33855
2681
1205
090

prune208.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.2b
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
38×add-cube-cbrt
36×sqrt-prod
14×distribute-lft-out
8×associate-/r* add-cbrt-cube add-exp-log associate-/r/
6×pow1 associate-/l*
4×rem-sqrt-square flip3-+ flip-+ insert-posit16 div-inv add-log-exp
2×cbrt-undiv clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp
Counts
4 → 130
Calls
4 calls:
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
22.0ms
(/ 2 (+ (exp x) (exp (- x))))
18.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
20.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 2 (+ (exp x) (exp (- x))))
38.0ms
(/ 2 (+ (exp x) (exp (- x))))
150.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
194.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))

simplify786.0ms

Counts
142 → 142
Iterations
IterNodes
done5000
2973
1282
0135

prune605.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
0.3b
(* (* (* x x) (* x x)) 5/24)
11.6b
(+ (+ 1 (* (* (* x x) (* x x)) 5/24)) (* -1/2 (* x x)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
132×pow1
36×pow-prod-down pow-prod-up
33×add-cbrt-cube add-exp-log
22×pow-sqr
21×prod-exp cbrt-unprod
18×pow-plus
13×pow2
8×add-log-exp
5×add-sqr-sqrt
4×*-un-lft-identity associate-*r* add-cube-cbrt
3×sum-log insert-posit16
2×associate-*l* *-commutative unswap-sqr
1×+-commutative associate-+l+ flip3-+ swap-sqr flip-+
Counts
3 → 107
Calls
3 calls:
23.0ms
(* (* x x) (* x x))
70.0ms
(* (* (* x x) (* x x)) 5/24)
21.0ms
(+ (+ 1 (* (* (* x x) (* x x)) 5/24)) (* -1/2 (* x x)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (* x x) (* x x))
44.0ms
(* (* (* x x) (* x x)) 5/24)
47.0ms
(+ (+ 1 (* (* (* x x) (* x x)) 5/24)) (* -1/2 (* x x)))

simplify2.1s

Counts
116 → 116
Iterations
IterNodes
done5000
22750
1372
0111

prune222.0ms

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

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample789.0ms

Algorithm
intervals
Results
660.0ms8000×body80valid