Details

Time bar (total: 4.2s)

sample71.0ms

Algorithm
intervals
Results
47.0ms172×body1280valid
6.0ms279×body80valid
5.0ms36×body640valid
2.0ms23×body320valid
1.0ms18×body160valid

simplify227.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51045
61615
73445
814545
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
5.8b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite16.0ms

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:
5.0ms
(- (exp x) 2.0)
9.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
58.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0282506
11008381
25001367

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))

rewrite7.0ms

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:
1.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms
(* 1/12 (pow x 4))

series161.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
40.0ms
(* 1/12 (pow x 4))

simplify92.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
5.8b
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

rewrite19.0ms

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:
5.0ms
(- (exp x) 2.0)
11.0ms
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
59.0ms
(+ (* 1 (- (exp x) 2.0)) (exp (- x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0331598
11211426
25001403

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (exp x) 2.0)
0.1b
(pow (+ (- (exp x) 2.0) (exp (- x))) 3)
0.3b
(cbrt (pow (+ (- (exp x) 2.0) (exp (- x))) 3))
5.8b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
28×add-sqr-sqrt
24×add-cube-cbrt
18×prod-diff
16×cbrt-prod
12×cube-div frac-add
11×associate-+l+ add-log-exp
10×unpow-prod-down cube-prod distribute-lft-out
7×flip3-- flip-- distribute-lft-out--
6×neg-sub0 exp-neg cbrt-div exp-diff
5×pow1 add-exp-log fma-def add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow flip3-+ fma-neg flip-+
2×cube-mult sub-neg diff-log unpow3 sum-log difference-of-squares sqr-pow
1×+-commutative pow-to-exp associate-+l- pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 133
Calls
4 calls:
5.0ms
(- (exp x) 2.0)
9.0ms
(pow (+ (- (exp x) 2.0) (exp (- x))) 3)
9.0ms
(cbrt (pow (+ (- (exp x) 2.0) (exp (- x))) 3))
9.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (exp x) 2.0)
92.0ms
(pow (+ (- (exp x) 2.0) (exp (- x))) 3)
59.0ms
(cbrt (pow (+ (- (exp x) 2.0) (exp (- x))) 3))
58.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04711242
118881068
250011053

prune287.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.6b 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

sample2.2s

Algorithm
intervals
Results
1.6s5655×body1280valid
183.0ms1217×body640valid
170.0ms7993×body80valid
55.0ms622×body320valid
18.0ms322×body160valid