Details

Time bar (total: 42.0s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×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
1 → 36
Calls
1 calls:
Slowest
15.0ms
(/ 2 (+ (exp x) (exp (- x))))

series36.0ms

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

simplify2.4s

Counts
52 → 39
Calls
52 calls:
Slowest
312.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))
228.0ms
(/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
202.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
202.0ms
(/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))
151.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune343.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (log 2) (log (+ (exp x) (exp (- x)))))
0.7b
(log (+ (exp x) (exp (- x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×add-sqr-sqrt pow1 prod-diff
14×log-pow add-cube-cbrt
11×log-prod
4×log-div fma-neg associate--r+ distribute-lft-out--
3×associate--l+ add-exp-log
2×expm1-log1p-u flip3-+ add-cbrt-cube flip-+ insert-posit16 log1p-expm1-u distribute-lft-out associate--r- add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 67
Calls
2 calls:
Slowest
18.0ms
(- (log 2) (log (+ (exp x) (exp (- x)))))
13.0ms
(log (+ (exp x) (exp (- x))))

series407.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
317.0ms
(- (log 2) (log (+ (exp x) (exp (- x)))))
90.0ms
(log (+ (exp x) (exp (- x))))

simplify7.2s

Counts
97 → 73
Calls
97 calls:
Slowest
464.0ms
(* (* (- (log 2) (log (+ (exp x) (exp (- x))))) (- (log 2) (log (+ (exp x) (exp (- x)))))) (- (log 2) (log (+ (exp x) (exp (- x))))))
284.0ms
(- (pow (log 2) 3) (pow (log (+ (exp x) (exp (- x)))) 3))
280.0ms
(log (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))
278.0ms
(- (+ (log 2) (* 1/2 (pow x 2))) (* 1/12 (pow x 4)))
263.0ms
(- (log 2) (log (+ (pow (exp x) 3) (pow (exp (- x)) 3))))

prune771.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (log 2) (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))
0.7b
(log (+ (exp x) (exp (- x))))
0.7b
(log (+ (exp x) (exp (- x))))
0.7b
(log (+ (exp x) (exp (- x))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
16×prod-diff
15×log-prod
13×pow1
9×log-pow
7×add-exp-log
6×log-div
5×add-log-exp
4×cbrt-prod expm1-log1p-u add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u
3×flip3-+ rem-log-exp associate--l+ flip-+ distribute-lft-out
2×distribute-lft-out--
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
Slowest
8.0ms
(log (+ (exp x) (exp (- x))))
7.0ms
(log (+ (exp x) (exp (- x))))
7.0ms
(log (+ (exp x) (exp (- x))))
7.0ms
(- (log 2) (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
421.0ms
(- (log 2) (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))
138.0ms
(log (+ (exp x) (exp (- x))))
136.0ms
(log (+ (exp x) (exp (- x))))
117.0ms
(log (+ (exp x) (exp (- x))))

simplify14.9s

Counts
141 → 107
Calls
141 calls:
Slowest
482.0ms
(fma (* (cbrt (log 2)) (cbrt (log 2))) (cbrt (log 2)) (- (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))))))
465.0ms
(fma 1 (log 2) (- (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))))))
464.0ms
(fma (sqrt (log 2)) (sqrt (log 2)) (- (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))))))
420.0ms
(fma 1 (log 2) (- (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (* (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x))))))) (cbrt (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))))))))
396.0ms
(- (pow (log 2) 3) (pow (cbrt (* (* (log (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (+ (exp x) (exp (- x)))))) 3))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

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
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
4×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 138
Calls
4 calls:
Slowest
28.0ms
(/ 2 (+ (exp x) (exp (- x))))
19.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
7.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
253.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
60.0ms
(/ 2 (+ (exp x) (exp (- x))))
46.0ms
(/ 2 (+ (exp x) (exp (- x))))
44.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify10.5s

Counts
207 → 150
Calls
207 calls:
Slowest
697.0ms
(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
374.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2))
366.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))
338.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))
306.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample713.0ms

Algorithm
intervals
Results
609.0ms8000×body80valid