Details

Time bar (total: 3.7s)

sample80.0ms

Algorithm
intervals
Results
54.0ms178×body1280valid
7.0ms43×body640valid
6.0ms273×body80valid
2.0ms18×body320valid
1.0ms15×body160valid

simplify225.0ms

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: 30.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.6b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite32.0ms

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)
25.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
57.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0282506
11008381
25001367

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.0b
(fma x x (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
11×add-sqr-sqrt
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp unswap-sqr
2×fma-udef sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 47
Calls
3 calls:
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
5.0ms
(* 1/12 (pow x 4))

series218.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
58.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
40.0ms
(* 1/12 (pow x 4))

simplify98.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0143265
1544240
22626237
35001237

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.5b
(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×prod-diff
11×add-sqr-sqrt
9×add-cube-cbrt
6×add-log-exp
5×distribute-lft-out
4×fma-neg
2×diff-log distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- associate--l+ sum-log add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
Counts
1 → 35
Calls
1 calls:
33.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify118.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0169392
1576281
23646264
35001236

prune53.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5691×body1280valid
193.0ms1250×body640valid
183.0ms8155×body80valid
55.0ms590×body320valid
18.0ms316×body160valid