Details

Time bar (total: 5.0s)

sample82.0ms

Algorithm
intervals
Results
53.0ms168×body1280valid
7.0ms43×body640valid
7.0ms262×body80valid
3.0ms24×body320valid
1.0ms14×body160valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4655
5965
61405
72855
816425
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
6.4b
(+ (- (exp x) 2.0) (exp (neg x)))

rewrite13.0ms

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)
8.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (exp x) 2.0)
55.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

simplify91.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209282
1694269
23196260
35001260

prune95.0ms

Filtered
41 candidates to 29 candidates (70.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New37441
Fresh000
Picked101
Done000
Total38442

Merged error: 0.0b

Counts
42 → 4

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))

rewrite27.0ms

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))))
4.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
9.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series281.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
132.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
54.0ms
(* 1/360 (pow x 6))
37.0ms
(* 1/12 (pow x 4))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0327476
11399443
25001425

prune200.0ms

Filtered
87 candidates to 55 candidates (63.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84387
Fresh123
Picked101
Done000
Total86591

Merged error: 0.0b

Counts
91 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 2) (* 1/360 (pow x 6)))
0.0b
(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
0.1b
(* 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*
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:
4.0ms
(+ (pow x 2) (* 1/360 (pow x 6)))
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))

series276.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(+ (pow x 2) (* 1/360 (pow x 6)))
57.0ms
(+ (+ (pow x 2) (* 1/360 (pow x 6))) (* 1/12 (pow x 4)))
47.0ms
(* 1/360 (pow x 6))
41.0ms
(* 1/12 (pow x 4))

simplify49.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0324443
11453418
25001402

prune167.0ms

Filtered
86 candidates to 55 candidates (64.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done000
Total86591

Merged error: 0.0b

Counts
91 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/12 (pow x 4))
0.1b
(* 1/12 (pow x 4))
24.8b
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
24.8b
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
14×add-exp-log associate-*r*
12×add-cube-cbrt
8×unpow-prod-down sqrt-prod add-cbrt-cube
6×pow1 associate-*l* prod-exp unswap-sqr
4×sqrt-div add-log-exp sqr-pow
2×pow-to-exp rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-exp *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 82
Calls
4 calls:
5.0ms
(* 1/12 (pow x 4))
5.0ms
(* 1/12 (pow x 4))
6.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
7.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* 1/12 (pow x 4))
36.0ms
(* 1/12 (pow x 4))
101.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
102.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify202.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0259662
11019626
24841616
35001616

prune257.0ms

Filtered
94 candidates to 64 candidates (68.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done011
Total94599

Merged error: 0.0b

Counts
99 → 5

regimes20.0ms

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
0177
1177

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s5609×body1280valid
237.0ms8207×body80valid
225.0ms1260×body640valid
69.0ms629×body320valid
24.0ms333×body160valid

Profiling

Loading profile data...