Details

Time bar (total: 1.7s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

prune2.0ms

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))))

rewrite11.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify73.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv expm1-log1p frac-2neg flip3-+ div-exp clear-num flip-+ div-inv expm1-udef
Counts
2 → 46
Calls
2 calls:
0.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series225.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify88.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0204422
1672388
22715386
35002386

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 147
Calls
3 calls:
13.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
13.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

series159.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
79.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04701566
120661450
250011443

prune251.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample258.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid