Details

Time bar (total: 3.4s)

sample80.0ms

Algorithm
intervals
Results
57.0ms190×body1280valid
6.0ms41×body640valid
5.0ms224×body80valid
1.0ms16×body320valid
0.0msbody160valid

simplify232.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
2.7b
(+ (- (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+
add-log-exp
fma-def
frac-add
flip3-- fma-neg flip-- distribute-lft-out--
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
+-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)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
60.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0282506
11008381
25001367

prune144.0ms

Filtered
71 candidates to 51 candidates (71.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh000
Picked101
Done000
Total71172

Merged error: 0b

Counts
72 → 1

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
add-exp-log associate-*r*
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube
associate-*l* prod-exp unswap-sqr
pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
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))

series359.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
237.0ms
(* 1/12 (pow x 4))

simplify91.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune83.0ms

Filtered
43 candidates to 29 candidates (67.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done000
Total43144

Merged error: 0b

Counts
44 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5690×body1280valid
193.0ms1265×body640valid
178.0ms8063×body80valid
51.0ms573×body320valid
18.0ms306×body160valid

Profiling

Loading profile data...