Details

Time bar (total: 12.4s)

sample31.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
110
07

prune9.0ms

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))))

rewrite52.0ms

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:
19.0ms
(+ (exp x) (exp (- x)))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (exp x) (exp (- x)))
43.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.3s

Counts
60 → 60
Iterations
IterNodes
42756
31182
2524
1208
094

prune461.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (/ 1 (exp x)))
0.0b
(/ 1 (exp x))
0.0b
(expm1 (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))))
0.0b
(/ 2 (+ (exp x) (/ 1 (exp x))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
24×add-sqr-sqrt times-frac add-cube-cbrt
10×distribute-lft-out
8×associate-/r* add-cbrt-cube
7×add-exp-log div-inv
6×associate-/l* add-log-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u pow-flip
3×exp-prod fma-def div-exp
2×cbrt-undiv clear-num frac-2neg flip3-+ associate-/r/ flip-+
1×+-commutative rec-exp expm1-log1p sum-log 1-exp inv-pow expm1-udef
Counts
4 → 108
Calls
4 calls:
17.0ms
(+ (exp x) (/ 1 (exp x)))
10.0ms
(/ 1 (exp x))
0.0ms
(expm1 (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))))
32.0ms
(/ 2 (+ (exp x) (/ 1 (exp x))))

series288.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (exp x) (/ 1 (exp x)))
9.0ms
(/ 1 (exp x))
195.0ms
(expm1 (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))))
51.0ms
(/ 2 (+ (exp x) (/ 1 (exp x))))

simplify1.4s

Counts
120 → 120
Iterations
IterNodes
43330
31381
2626
1290
0148

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
224×sqrt-prod
190×add-sqr-sqrt add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×div-inv
8×add-log-exp
6×fma-def
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×+-commutative clear-num sum-log frac-2neg
1×associate-/l/
Counts
4 → 327
Calls
4 calls:
9.0ms
(+ (exp x) (exp (- x)))
17.0ms
(+ (exp x) (exp (- x)))
62.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
21.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (exp x) (exp (- x)))
40.0ms
(+ (exp x) (exp (- x)))
47.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
133.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

simplify2.2s

Counts
339 → 339
Iterations
IterNodes
35412
21774
1745
0339

prune3.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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
28
18
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid