Details

Time bar (total: 4.2s)

sample74.0ms

Algorithm
intervals
Results
51.0ms180×body1280valid
6.0ms38×body640valid
5.0ms234×body80valid
2.0ms17×body320valid
1.0ms9×body160valid

simplify220.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51005
61445
72965
813215
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: 28.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.8b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite15.0ms

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)
10.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
55.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify97.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0211282
1715269
23477260
35001260

prune89.0ms

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
(+ (* 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))))
0.1b
(* 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*
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))

series271.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
52.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
50.0ms
(* 1/360 (pow x 6))
39.0ms
(* 1/12 (pow x 4))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0329464
11456439
25001423

prune159.0ms

Filtered
87 candidates to 55 candidates (63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh033
Picked011
Done000
Total86591

Merged error: 0.0b

Counts
91 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
0.0b
(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
0.1b
(pow (exp x) 3)
3.5b
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
12×add-sqr-sqrt
11×add-log-exp
10×add-cube-cbrt
7×pow1 add-cbrt-cube
5×add-exp-log associate-*r*
4×pow-pow sum-log
3×unpow-prod-down pow-unpow associate-+r+ exp-prod flip3-+ cube-prod associate-*l* flip-+ distribute-lft-out
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×cube-mult pow-to-exp unpow3 exp-sum pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod distribute-lft-out-- rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 77
Calls
4 calls:
19.0ms
(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
6.0ms
(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
3.0ms
(pow (exp x) 3)
9.0ms
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
71.0ms
(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
23.0ms
(pow (exp x) 3)
89.0ms
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0435758
12299710
25002702

prune236.0ms

Filtered
89 candidates to 62 candidates (69.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87289
Fresh123
Picked101
Done011
Total89594

Merged error: 0.0b

Counts
94 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
2.7b
(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite11.0ms

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:
4.0ms
(+ (exp (* -1 x)) (exp x))
7.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

series72.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp (* -1 x)) (exp x))
47.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify52.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0164248
1479235
21667225
35001225

prune47.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done011
Total35540

Merged error: 0.0b

Counts
40 → 5

regimes27.0ms

Accuracy

0% (0.6b 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

sample2.3s

Algorithm
intervals
Results
1.6s5661×body1280valid
186.0ms1239×body640valid
175.0ms7877×body80valid
58.0ms624×body320valid
18.0ms310×body160valid