Details

Time bar (total: 3.3s)

analyze4.0ms

Algorithm
search

sample73.0ms

Algorithm
intervals
Results
54.0ms170×body1280valid
9.0ms54×body640valid
2.0ms15×body320valid
1.0ms11×body160valid
0.0ms6×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4655
5965
61405
72855
816425
950015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.9b
(+ (- (exp x) 2.0) (exp (neg x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt frac-add
3×flip3-- flip--
2×pow1 add-exp-log neg-sub0 exp-neg add-cube-cbrt sub-neg associate-+l+ exp-diff diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- flip3-+ flip-+ difference-of-squares
Counts
2 → 35
Calls
2 calls:
4.0ms
(- (exp x) 2.0)
7.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(- (exp x) 2.0)
7.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209282
1694269
23196260
35001260

prune58.0ms

Filtered
29 candidates to 41 candidates (-41.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242

Merged error: 0.0b

Counts
42 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
12×*-un-lft-identity
11×add-log-exp
10×add-cube-cbrt
8×unpow-prod-down add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
4×pow1 sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 75
Calls
4 calls:
4.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series24.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
6.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0329464
11456438
25001422

prune138.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh011
Picked101
Done000
Total86389

Merged error: 0.0b

Counts
89 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
0.0b
(+ (pow x 2) (* 1/360 (pow x 6)))
0.0b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
11×add-log-exp
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
4×pow1 sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×associate-+l+
Counts
4 → 74
Calls
4 calls:
6.0ms
(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
4.0ms
(+ (pow x 2) (* 1/360 (pow x 6)))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
13.0ms
(+ (pow x 2) (* 1/360 (pow x 6)))
4.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0324443
11453418
25001402

prune133.0ms

Filtered
55 candidates to 86 candidates (-56.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh112
Picked011
Done000
Total86389

Merged error: 0.0b

Counts
89 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (neg x)) (exp x))
3.5b
(- (+ (exp (neg x)) (exp x)) 2.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (exp (neg x)) (exp x))
7.0ms
(- (+ (exp (neg x)) (exp x)) 2.0)

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (exp (neg x)) (exp x))
7.0ms
(- (+ (exp (neg x)) (exp x)) 2.0)

simplify71.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0172248
1573230
22112225
35002225

prune34.0ms

Filtered
27 candidates to 35 candidates (-29.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh011
Picked011
Done011
Total34438

Merged error: 0.0b

Counts
38 → 4

regimes33.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

analyze4.0ms

Algorithm
search

sample2.2s

Algorithm
intervals
Results
1.8s5665×body1280valid
214.0ms1211×body640valid
70.0ms640×body320valid
22.0ms311×body160valid
6.0ms173×body80valid
0.0ms1×body80invalid

Profiling

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