Details

Time bar (total: 3.3s)

sample66.0ms

Algorithm
intervals
Results
30.0ms106×body1280valid
12.0ms71×body640valid
6.0ms59×body320valid
6.0ms238×body80valid
1.0ms13×body160valid

simplify221.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61085
72675
813425
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 1 expressions with local error:

3.7b
(- (exp x) (exp (- x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
6.0ms
(- (exp x) (exp (- x)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (exp x) (exp (- x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0158354
1416228
22421226
35002203

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
3.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify29.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04989
115078
286278
3500178

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.7b
(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
062122
114098
236197
3115197
4500297

prune33.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b
(pow (exp x) -2)
3.6b
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
add-exp-log add-cbrt-cube
pow1 pow-pow associate-/r* distribute-lft-out
expm1-log1p-u unpow-prod-down pow-unpow exp-prod log1p-expm1-u associate-/l* add-log-exp
associate-/r/
cbrt-undiv pow-to-exp frac-2neg flip3-+ div-exp pow-exp clear-num flip-+ fma-udef div-inv sqr-pow
Counts
3 → 67
Calls
3 calls:
7.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
4.0ms
(pow (exp x) -2)
1.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
24.0ms
(pow (exp x) -2)
73.0ms
(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0291824
11097754
25002733

prune197.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample1.9s

Algorithm
intervals
Results
946.0ms3368×body1280valid
431.0ms2525×body640valid
196.0ms8279×body80valid
129.0ms1255×body320valid
38.0ms597×body160valid