Details

Time bar (total: 1.6s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify217.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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 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:
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune80.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New36238
Fresh000
Picked101
Done000
Total37239

Merged error: 0b

Counts
39 → 2

localize12.0ms

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 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:
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune101.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done000
Total38240

Merged error: 0b

Counts
40 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
60×times-frac
50×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
20×cube-div
18×distribute-lft-out
12×associate-/r*
10×cbrt-div associate-/r/
9×associate-/l*
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 pow-unpow
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×cbrt-undiv cube-mult unpow3 div-exp pow-exp rem-cbrt-cube rem-cube-cbrt sqr-pow
1×pow-to-exp pow-pow pow1/3
Counts
3 → 166
Calls
3 calls:
8.0ms
(/ 2.0 (+ (exp (* -1 x)) (exp x)))
15.0ms
(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
14.0ms
(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

series155.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 2.0 (+ (exp (* -1 x)) (exp x)))
77.0ms
(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)
37.0ms
(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05381718
126351586
250011572

prune300.0ms

Filtered
175 candidates to 91 candidates (52.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done011
Total1752177

Merged error: 0b

Counts
177 → 2

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample268.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid