Details

Time bar (total: 3.6s)

sample76.0ms

Algorithm
intervals
Results
53.0ms185×body1280valid
6.0ms38×body640valid
5.0ms245×body80valid
2.0ms19×body320valid
1.0ms12×body160valid

simplify227.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51045
61615
73445
814545
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
18×prod-diff
16×add-cube-cbrt
11×associate-+l+
9×add-log-exp
5×fma-def
4×frac-add
3×flip3-- fma-neg flip-- distribute-lft-out--
2×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u sub-neg exp-diff diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out difference-of-squares
1×+-commutative associate-+l- flip3-+ flip-+
Counts
2 → 65
Calls
2 calls:
6.0ms
(- (exp x) 2.0)
29.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
61.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0282506
11008381
25001367

prune158.0ms

Filtered
71 candidates to 51 candidates (71.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b
(* 1/12 (pow x 4))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×associate-*l* prod-exp unswap-sqr
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
6.0ms
(* 1/12 (pow x 4))

series166.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
41.0ms
(* 1/12 (pow x 4))

simplify86.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune103.0ms

Filtered
43 candidates to 29 candidates (67.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.8b
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
24×*-un-lft-identity
23×add-sqr-sqrt
22×associate-+l+
21×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r/ frac-add
3×sub-neg flip3-- fma-neg flip--
2×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u exp-diff add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 69
Calls
2 calls:
6.0ms
(- (exp x) 2.0)
13.0ms
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- (exp x) 2.0)
55.0ms
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0331598
11211426
25001403

prune160.0ms

Filtered
75 candidates to 56 candidates (74.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5682×body1280valid
184.0ms8247×body80valid
182.0ms1221×body640valid
55.0ms620×body320valid
18.0ms308×body160valid