Details

Time bar (total: 4.6s)

sample75.0ms

Algorithm
intervals
Results
48.0ms177×body1280valid
6.0ms42×body640valid
6.0ms289×body80valid
2.0ms23×body320valid
0.0ms7×body160valid

simplify219.0ms

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: 29.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.0b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite67.0ms

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:
11.0ms
(- (exp x) 2.0)
54.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
58.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0282506
11008381
25001367

prune161.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite16.0ms

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)))
14.0ms
(* 1/12 (pow x 4))

series163.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
36.0ms
(* 1/12 (pow x 4))

simplify85.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (exp x) 2.0)
0.0b
(pow (- (exp x) 2.0) 3)
0.0b
(pow (exp (- x)) 3)
3.9b
(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
33×add-sqr-sqrt
23×add-cube-cbrt
21×unpow-prod-down cube-prod
16×fma-def
12×cube-div pow-pow
10×exp-prod
9×prod-diff distribute-lft-out distribute-lft-out--
8×add-log-exp
6×pow1 pow-unpow add-cbrt-cube
5×add-exp-log difference-of-squares
4×expm1-log1p-u flip3-- frac-add flip-- log1p-expm1-u
3×neg-sub0 distribute-lft-neg-in exp-neg cube-mult distribute-rgt-neg-in exp-diff fma-neg unpow3 sqr-pow
2×pow-to-exp pow-exp rem-cube-cbrt
1×+-commutative neg-mul-1 sub-neg flip3-+ diff-log sum-log sum-cubes flip-+
Counts
4 → 139
Calls
4 calls:
11.0ms
(- (exp x) 2.0)
13.0ms
(pow (- (exp x) 2.0) 3)
8.0ms
(pow (exp (- x)) 3)
108.0ms
(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

series228.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (exp x) 2.0)
44.0ms
(pow (- (exp x) 2.0) 3)
25.0ms
(pow (exp (- x)) 3)
147.0ms
(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0519866
12323741
25002715

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
2.8b
(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
9×add-log-exp
6×distribute-lft-out
4×fma-neg
3×fma-def
2×pow1 add-exp-log expm1-log1p-u diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
2 → 52
Calls
2 calls:
12.0ms
(+ (exp (* -1 x)) (exp x))
82.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

series75.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp (* -1 x)) (exp x))
50.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0226494
1734380
24061358
35001328

prune99.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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

sample2.3s

Algorithm
intervals
Results
1.6s5720×body1280valid
179.0ms1227×body640valid
171.0ms8143×body80valid
52.0ms576×body320valid
16.0ms289×body160valid