Details

Time bar (total: 5.3s)

sample74.0ms

Algorithm
intervals
Results
32.0ms105×body1280valid
14.0ms78×body640valid
8.0ms266×body80valid
5.0ms40×body320valid
2.0ms24×body160valid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.7b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.4b
(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
5.0ms
(- (exp x) (exp (neg x)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- (exp x) (exp (neg x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune54.0ms

Filtered
17 candidates to 14 candidates (17.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b
(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b
(* 1/60 (pow x 5))
0.2b
(* 1/3 (pow x 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
7.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series343.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
160.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
61.0ms
(* 1/60 (pow x 5))
46.0ms
(* 1/3 (pow x 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0354458
11537429
25002428

prune389.0ms

Filtered
92 candidates to 59 candidates (35.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh011
Picked101
Done000
Total92294

Merged error: 0.0b

Counts
94 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b
(* 1/60 (pow x 5))
0.2b
(* 1/3 (pow x 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
4.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series273.0ms

Counts
3 → 9
Calls
3 calls:
163.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
63.0ms
(* 1/60 (pow x 5))
47.0ms
(* 1/3 (pow x 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0268317
11130291
25001290

prune314.0ms

Filtered
76 candidates to 48 candidates (36.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done000
Total76278

Merged error: 0.0b

Counts
78 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
0.0b
(* (exp x) (- (exp x) (pow (exp x) -3)))
0.0b
(pow (exp x) -3)
8.3b
(- (exp x) (pow (exp x) -3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
11×add-cube-cbrt add-cbrt-cube
9×add-exp-log
7×pow1 associate-*r*
6×add-log-exp difference-of-squares
5×unpow-prod-down
4×pow-pow times-frac associate-*r/ associate-/r*
3×sub-neg pow-unpow exp-prod flip3-- associate-*l* flip-- sqr-pow
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×pow-to-exp frac-2neg flip3-+ diff-log pow-prod-down pow-exp clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
13.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
9.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
6.0ms
(- (exp x) (pow (exp x) -3))

series365.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
108.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
38.0ms
(pow (exp x) -3)
58.0ms
(- (exp x) (pow (exp x) -3))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0420889
12061787
25001784

prune797.0ms

Filtered
103 candidates to 74 candidates (28.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh000
Picked011
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

regimes34.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3369×body1280valid
449.0ms2450×body640valid
217.0ms8102×body80valid
148.0ms1288×body320valid
44.0ms621×body160valid

Profiling

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