Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71435
813575
950015

prune3.0ms

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 (neg x))))

rewrite10.0ms

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:
9.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0164311
1550289
22149287
35002287

prune47.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh000
Picked101
Done000
Total34337

Merged error: 0b

Counts
37 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (exp x))
0.0b
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
80×times-frac
64×*-un-lft-identity
42×add-cube-cbrt
22×difference-of-squares
21×distribute-lft-neg-in distribute-rgt-neg-in
13×associate-/l*
11×distribute-lft-out--
9×associate-/r*
7×neg-mul-1
6×add-cbrt-cube
5×add-exp-log
2×pow1 cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv add-log-exp
1×neg-sub0 flip3-- div-sub distribute-frac-neg flip--
Counts
2 → 119
Calls
2 calls:
4.0ms
(/ -1 (exp x))
11.0ms
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ -1 (exp x))
11.0ms
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04101261
114671223
250011220

prune145.0ms

Filtered
86 candidates to 125 candidates (-45.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))
0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 204
Calls
4 calls:
6.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
24.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (neg x)))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
13.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04262240
120262084
250022043

prune238.0ms

Filtered
132 candidates to 216 candidates (-63.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2160216
Fresh011
Picked011
Done011
Total2163219

Merged error: 0b

Counts
219 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (exp x) (exp (neg x))))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
4.0ms
(cbrt (+ (exp x) (exp (neg x))))
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series21.0ms

Counts
4 → 6
Calls
4 calls:
21.0ms
(cbrt (+ (exp x) (exp (neg x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0141322
1418283
21758268
35001268

prune92.0ms

Filtered
43 candidates to 53 candidates (-23.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh000
Picked011
Done022
Total53356

Merged error: 0b

Counts
56 → 3

regimes120.0ms

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
0106
1106

end0.0ms

sample361.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid

Profiling

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