Details

Time bar (total: 4.2s)

sample78.0ms

Algorithm
intervals
Results
51.0ms177×body1280valid
7.0ms44×body640valid
5.0ms249×body80valid
2.0ms22×body320valid
0.0ms8×body160valid

simplify219.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.4b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite70.0ms

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:
15.0ms
(- (exp x) 2.0)
52.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
55.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0282506
11008381
25001367

prune149.0ms

Pruning

2 alts after pruning (2 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))

rewrite13.0ms

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)))
11.0ms
(* 1/12 (pow x 4))

series159.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
37.0ms
(* 1/12 (pow x 4))

simplify88.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 2.0 (exp (- x)))
3.4b
(- (exp x) (- 2.0 (exp (- x))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
34×add-sqr-sqrt
33×prod-diff
24×add-cube-cbrt
11×associate--r+
9×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×sub-neg
2×pow1 add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
1×associate--r-
Counts
2 → 76
Calls
2 calls:
11.0ms
(- 2.0 (exp (- x)))
42.0ms
(- (exp x) (- 2.0 (exp (- x))))

series73.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(- 2.0 (exp (- x)))
59.0ms
(- (exp x) (- 2.0 (exp (- x))))

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03341032
11000687
25001583

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (exp (- x)))
0.0b
(- 2.0 (exp (- x)))
0.0b
(- 2.0 (exp (- x)))
5.0b
(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×add-log-exp
9×fma-neg
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 94
Calls
4 calls:
11.0ms
(- 2.0 (exp (- x)))
13.0ms
(- 2.0 (exp (- x)))
11.0ms
(- 2.0 (exp (- x)))
0.0ms
(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- 2.0 (exp (- x)))
14.0ms
(- 2.0 (exp (- x)))
13.0ms
(- 2.0 (exp (- x)))
82.0ms
(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
02281099
1687715
23728712
35001694

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes12.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s5672×body1280valid
193.0ms1253×body640valid
178.0ms8049×body80valid
58.0ms635×body320valid
16.0ms279×body160valid