Details

Time bar (total: 3.7s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14

sample83.0ms

Algorithm
intervals
Results
64.0ms180×body1280valid
8.0ms42×body640valid
3.0ms24×body320valid
1.0ms7×body160valid
0.0ms3×body80valid

simplify144.0ms

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: 33.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.3b
(+ (- (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 (18.0ms)

IterNodesCost
0209282
1694269
23196260
35001260

prune55.0ms

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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New40141
Fresh000
Picked101
Done000
Total41142

Merged error: 0.0b

Counts
42 → 1

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

rewrite24.0ms

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:
7.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
4.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))

simplify50.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0329464
11456438
25001422

prune135.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh000
Picked011
Done000
Total86288

Merged error: 0b

Counts
88 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
26.3b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
26.3b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
26.3b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
18.0ms
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
7.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
7.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
7.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
17.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
17.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
20.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03542145
112022017
250021805

prune553.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done011
Total1072109

Merged error: 0b

Counts
109 → 2

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14

sample2.3s

Algorithm
intervals
Results
1.8s5725×body1280valid
216.0ms1194×body640valid
67.0ms608×body320valid
21.0ms294×body160valid
7.0ms179×body80valid
0.0ms1×body80invalid

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