Details

Time bar (total: 4.1s)

sample62.0ms

Algorithm
intervals
Results
28.0ms102×body1280valid
13.0ms80×body640valid
6.0ms254×body80valid
4.0ms44×body320valid
1.0ms20×body160valid

simplify226.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61085
72675
813425
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b
(- (exp x) (exp (- x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×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:
7.0ms
(- (exp x) (exp (- x)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- (exp x) (exp (- x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0158354
1416228
22421226
35002203

prune67.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04989
115078
286278
3500178

prune41.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) -2)
0.0b
(pow (exp x) 3)
0.0b
(pow (exp (- x)) 3)
5.2b
(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
144×prod-diff
116×add-sqr-sqrt
102×*-un-lft-identity
96×unpow-prod-down
93×cube-prod
92×add-cube-cbrt
36×sqr-pow
27×cube-mult unpow3
19×pow-pow
16×exp-prod difference-of-squares
12×fma-neg
9×pow-unpow
7×pow1
6×add-cbrt-cube add-log-exp
5×distribute-lft-out--
4×add-exp-log expm1-log1p-u log1p-expm1-u
3×distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-exp
2×cube-div rem-cube-cbrt
1×difference-cubes neg-sub0 exp-neg neg-mul-1 sub-neg flip3-- exp-diff diff-log flip--
Counts
4 → 279
Calls
4 calls:
2.0ms
(pow (exp x) -2)
2.0ms
(pow (exp x) 3)
5.0ms
(pow (exp (- x)) 3)
30.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

series160.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (exp x) -2)
23.0ms
(pow (exp x) 3)
26.0ms
(pow (exp (- x)) 3)
93.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify145.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
06373619
123222459
250022408

prune364.0ms

Filtered
291 candidates to 90 candidates (30.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.0b
(pow (exp (- x)) 3)
0.1b
(pow (exp (- x)) 6)
5.2b
(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
144×prod-diff
118×add-sqr-sqrt
104×*-un-lft-identity
96×unpow-prod-down
94×add-cube-cbrt
93×cube-prod
36×sqr-pow
27×cube-mult unpow3
26×pow-pow
23×exp-prod
16×difference-of-squares
12×fma-neg
9×pow-unpow
7×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube add-log-exp
5×distribute-lft-out--
4×add-exp-log expm1-log1p-u log1p-expm1-u
3×pow-to-exp pow-exp
2×cube-div neg-mul-1 rem-cube-cbrt
1×difference-cubes neg-sub0 exp-neg sub-neg flip3-- exp-diff diff-log flip--
Counts
4 → 286
Calls
4 calls:
5.0ms
(pow (exp x) 3)
5.0ms
(pow (exp (- x)) 3)
5.0ms
(pow (exp (- x)) 6)
30.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

series184.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(pow (exp x) 3)
30.0ms
(pow (exp (- x)) 3)
36.0ms
(pow (exp (- x)) 6)
94.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify122.0ms

Algorithm
egg-herbie
Counts
298 → 298
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06423692
122782512
250012484

prune408.0ms

Filtered
298 candidates to 95 candidates (31.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

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
0146
1146

end0.0ms

sample1.9s

Algorithm
intervals
Results
927.0ms3367×body1280valid
408.0ms2513×body640valid
184.0ms8059×body80valid
113.0ms1161×body320valid
40.0ms673×body160valid