Details

Time bar (total: 14.1s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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

series68.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (exp x) (exp (- x)))
35.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.5s

Counts
60 → 60
Iterations
IterNodes
42756
31182
2524
1208
094

prune492.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (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))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
123×*-un-lft-identity
98×sqrt-prod
91×add-sqr-sqrt
90×times-frac
63×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-cbrt-cube add-exp-log
9×unswap-sqr
8×associate-/r* sqrt-pow1 pow1/2
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u
3×fma-def pow-prod-down pow-sqr
2×cbrt-undiv clear-num frac-2neg div-exp
1×pow2 frac-times +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
18.0ms
(+ (exp x) (exp (- x)))
84.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
20.0ms
(/ 2 (+ (exp x) (exp (- x))))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (exp x) (exp (- x)))
116.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))
50.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify992.0ms

Counts
213 → 213
Iterations
IterNodes
32528
21069
1424
0220

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 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))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
48×times-frac
40×add-sqr-sqrt add-cube-cbrt
16×associate-/r* distribute-lft-out
12×add-cbrt-cube add-exp-log associate-/l*
8×associate-/r/
4×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 144
Calls
4 calls:
31.0ms
(/ 2 (+ (exp x) (exp (- x))))
19.0ms
(/ 2 (+ (exp x) (exp (- x))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
37.0ms
(/ 2 (+ (exp x) (exp (- x))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 2 (+ (exp x) (exp (- x))))
62.0ms
(/ 2 (+ (exp x) (exp (- x))))
35.0ms
(/ 2 (+ (exp x) (exp (- x))))
46.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.5s

Counts
156 → 156
Iterations
IterNodes
43235
31101
2437
1172
079

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.4b
(cbrt (+ (exp x) (exp (- x))))
0.4b
(cbrt (+ (exp x) (exp (- x))))
0.4b
(cbrt (+ (exp x) (exp (- x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×cbrt-prod times-frac
7×distribute-lft-out
6×cbrt-div add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 associate-/r* flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 87
Calls
4 calls:
18.0ms
(/ 2 (+ (exp x) (exp (- x))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))
7.0ms
(cbrt (+ (exp x) (exp (- x))))
10.0ms
(cbrt (+ (exp x) (exp (- x))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 2 (+ (exp x) (exp (- x))))
185.0ms
(cbrt (+ (exp x) (exp (- x))))
159.0ms
(cbrt (+ (exp x) (exp (- x))))
194.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify783.0ms

Counts
99 → 99
Iterations
IterNodes
32214
2714
1247
0111

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample717.0ms

Algorithm
intervals
Results
606.0ms8000×body80valid