Details

Time bar (total: 3.7s)

sample86.0ms

Algorithm
intervals
Results
57.0ms184×body1280valid
7.0ms41×body640valid
7.0ms264×body80valid
1.0ms14×body320valid
1.0ms12×body160valid

simplify134.0ms

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

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: 27.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.4b
(+ (- (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)))

simplify89.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0209282
1694269
23196260
35001260

prune60.0ms

Filtered
41 candidates to 29 candidates (29.3%)
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))

rewrite22.0ms

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))

series26.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* 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))

simplify48.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0329464
11456438
25001422

prune139.0ms

Filtered
87 candidates to 55 candidates (36.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh011
Picked011
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))
2.6b
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
31.9b
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×*-un-lft-identity
15×add-exp-log
14×associate-*r*
13×add-cube-cbrt
8×unpow-prod-down log-prod add-cbrt-cube
6×pow1 associate-*l* prod-exp unswap-sqr
4×log-div exp-prod exp-sum add-log-exp sqr-pow
2×pow-to-exp flip3-+ exp-diff pow-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out
1×rem-log-exp rem-exp-log
Counts
4 → 83
Calls
4 calls:
7.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))
7.0ms
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
6.0ms
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 1/360 (pow x 6))
4.0ms
(* 1/12 (pow x 4))
6.0ms
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
9.0ms
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0359683
11383619
25001592

prune181.0ms

Filtered
95 candidates to 60 candidates (36.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh112
Picked011
Done011
Total95499

Merged error: 0.0b

Counts
99 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 2.0)
0.0b
(- (exp x) 2.0)
0.0b
(* (+ (exp x) 2.0) (exp x))
3.9b
(+ 1 (* (exp x) (- (exp x) 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt add-cbrt-cube
5×add-exp-log
4×associate-+r+ associate-*l*
3×sub-neg flip3-+ associate-*r* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*l/ sum-log distribute-lft-out
1×flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 62
Calls
4 calls:
4.0ms
(+ (exp x) 2.0)
4.0ms
(- (exp x) 2.0)
7.0ms
(* (+ (exp x) 2.0) (exp x))
3.0ms
(+ 1 (* (exp x) (- (exp x) 2.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp x) 2.0)
2.0ms
(- (exp x) 2.0)
4.0ms
(* (+ (exp x) 2.0) (exp x))
9.0ms
(+ 1 (* (exp x) (- (exp x) 2.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0283399
11162357
25001356

prune81.0ms

Filtered
74 candidates to 54 candidates (27.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done022
Total74478

Merged error: 0.0b

Counts
78 → 4

regimes34.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s5686×body1280valid
220.0ms8189×body80valid
217.0ms1262×body640valid
64.0ms591×body320valid
21.0ms297×body160valid

Profiling

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