Details

Time bar (total: 4.9s)

sample112.0ms

Algorithm
intervals
Results
80.0ms201×body1280valid
11.0ms281×body80valid
7.0ms31×body640valid
2.0ms14×body320valid
1.0ms6×body160valid

simplify222.0ms

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: 24.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
2.2b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite36.0ms

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)
27.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
54.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0282506
11008381
25001367

prune158.0ms

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))

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:
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
6.0ms
(* 1/12 (pow x 4))

series163.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
36.0ms
(* 1/12 (pow x 4))

simplify86.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0123177
1469163
22175160
35002160

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
0.0b
(pow (exp x) 3)
0.0b
(pow (exp x) 3)
3.4b
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow-pow
6×pow1 unpow-prod-down pow-unpow exp-prod cube-prod add-cbrt-cube
4×add-exp-log expm1-log1p-u log1p-expm1-u add-log-exp
2×cube-mult pow-to-exp unpow3 pow-exp fma-udef rem-cube-cbrt sqr-pow
Counts
4 → 76
Calls
4 calls:
0.0ms
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
2.0ms
(pow (exp x) 3)
2.0ms
(pow (exp x) 3)
0.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
23.0ms
(pow (exp x) 3)
23.0ms
(pow (exp x) 3)
128.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0228446
1940404
25001393

prune290.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.2s5644×body1280valid
338.0ms7939×body80valid
303.0ms1269×body640valid
98.0ms615×body320valid
33.0ms324×body160valid