Details

Time bar (total: 12.3s)

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:
14.0ms
(+ (exp x) (exp (- x)))
36.0ms
(/ 2 (+ (exp x) (exp (- x))))

series83.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (exp x) (exp (- x)))
47.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.6s

Counts
60 → 60
Iterations
IterNodes
done5000
31537
2573
1214
094

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
36×times-frac
31×add-sqr-sqrt add-cube-cbrt
12×associate-/r* distribute-lft-out
10×add-cbrt-cube add-exp-log
9×associate-/l*
7×cbrt-div
6×associate-/r/
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*r/ flip-+ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 128
Calls
4 calls:
167.0ms
(cbrt (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))
27.0ms
(/ 2 (+ (exp x) (exp (- x))))
22.0ms
(/ 2 (+ (exp x) (exp (- x))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))))
43.0ms
(/ 2 (+ (exp x) (exp (- x))))
50.0ms
(/ 2 (+ (exp x) (exp (- x))))
40.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify2.1s

Counts
140 → 140
Iterations
IterNodes
done5001
32089
2695
1255
0118

prune547.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))))

rewrite283.0ms

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:
19.0ms
(sqrt (+ (exp x) (exp (- x))))
168.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
36.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
37.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (+ (exp x) (exp (- x))))
135.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
143.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
136.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))

simplify1.7s

Counts
422 → 422
Iterations
IterNodes
done5002
22752
1922
0293

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
36×exp-prod times-frac
31×add-sqr-sqrt add-cube-cbrt
19×log-pow
11×distribute-lft-out
7×add-log-exp
6×add-cbrt-cube add-exp-log associate-/r/
5×pow1
4×expm1-log1p-u associate-/r* flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×log-prod fma-def div-inv associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp rem-log-exp rem-exp-log
Counts
4 → 116
Calls
4 calls:
15.0ms
(+ (exp x) (exp (- x)))
44.0ms
(exp (/ 2 (+ (exp x) (exp (- x)))))
21.0ms
(/ 2 (+ (exp x) (exp (- x))))
45.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
85.0ms
(exp (/ 2 (+ (exp x) (exp (- x)))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))
44.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))

simplify1.6s

Counts
128 → 128
Iterations
IterNodes
done5003
32162
2750
1302
0157

prune625.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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

sample543.0ms

Algorithm
intervals
Results
445.0ms8000×body80valid