Details

Time bar (total: 5.7s)

sample99.0ms

Algorithm
intervals
Results
65.0ms171×body1280valid
11.0ms47×body640valid
10.0ms234×body80valid
2.0ms15×body320valid
2.0ms16×body160valid

simplify231.0ms

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: 31.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.9b
(+ (- (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)
28.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
53.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0282506
11008381
25001367

prune166.0ms

Pruning

3 alts after pruning (3 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))

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)))
5.0ms
(* 1/12 (pow x 4))

series161.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
35.0ms
(* 1/12 (pow x 4))

simplify66.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0122183
1427166
21923165
35002164

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)
5.1b
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

rewrite9.0ms

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))
5.0ms
(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))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
27.0ms
(pow (exp x) 3)
22.0ms
(pow (exp x) 3)
120.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0228450
1940404
25002393

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (+ (* (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)
5.1b
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-pow add-cbrt-cube
6×pow1 add-exp-log cube-mult unpow-prod-down pow-unpow exp-prod cube-prod
4×expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out add-log-exp
3×associate-/l*
2×pow-to-exp unpow3 pow-exp associate-/r/ rem-cube-cbrt sqr-pow
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
4 → 101
Calls
4 calls:
16.0ms
(/ (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (+ (* (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))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(/ (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (+ (* (exp x) (fma 2.0 2.0 (* (exp x) 2.0))) (pow (exp x) 3)))
22.0ms
(pow (exp x) 3)
22.0ms
(pow (exp x) 3)
125.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03581436
116181332
250031319

prune373.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes13.0ms

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

sample3.2s

Algorithm
intervals
Results
2.2s5720×body1280valid
330.0ms8012×body80valid
284.0ms1218×body640valid
90.0ms611×body320valid
28.0ms286×body160valid