Details

Time bar (total: 1.9s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite7.0ms

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-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify90.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0163311
1549289
22172288
35001288

prune89.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
0.0b
(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b
(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
8.0ms
(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
6.0ms
(/ 2.0 (+ (exp (* -1 x)) (exp x)))
8.0ms
(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

series151.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
40.0ms
(/ 2.0 (+ (exp (* -1 x)) (exp x)))
76.0ms
(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

simplify58.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04471530
119691425
250021411

prune238.0ms

Filtered
150 candidates to 72 candidates (48.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
298×*-un-lft-identity
224×sqrt-prod
186×add-sqr-sqrt add-cube-cbrt
56×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
10×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 285
Calls
2 calls:
17.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
10.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series130.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
88.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
07096027
125625395
250025241

prune381.0ms

Filtered
291 candidates to 116 candidates (39.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample290.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid