Details

Time bar (total: 5.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14

sample108.0ms

Algorithm
intervals
Results
80.0ms134×body2048valid
14.0ms56×body1024valid
6.0ms39×body512valid
1.0ms14×body256valid
1.0ms13×body128valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0466513
1466513

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (exp.f64 x) 2)
4.9b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
frac-add_binary64 add-sqr-sqrt_binary64
flip3--_binary64 flip--_binary64
sub-neg_binary64 pow1_binary64 diff-log_binary64 distribute-lft-out_binary64 neg-sub0_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 exp-diff_binary64 distribute-lft-out--_binary64 exp-neg_binary64 sum-log_binary64
flip3-+_binary64 associate-+l+_binary64 associate-+l-_binary64 difference-of-squares_binary64 +-commutative_binary64 flip-+_binary64
Counts
2 → 33
Calls
2 calls:
4.0ms
(-.f64 (exp.f64 x) 2)
9.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(-.f64 (exp.f64 x) 2)
60.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04944637
14944637

prune46.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New37239
Fresh000
Picked101
Done000
Total38240

Merged error: 0.0b

Counts
40 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
0.1b
(*.f64 1/360 (pow.f64 x 6))
0.1b
(*.f64 1/12 (pow.f64 x 4))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×associate-*r*_binary64
13×add-exp-log_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
unpow-prod-down_binary64
add-cbrt-cube_binary64
associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
add-log-exp_binary64
sqr-pow_binary64
pow1_binary64
pow-to-exp_binary64 cbrt-unprod_binary64 pow-exp_binary64 *-commutative_binary64
flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 61
Calls
3 calls:
5.0ms
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
6.0ms
(*.f64 1/360 (pow.f64 x 6))
6.0ms
(*.f64 1/12 (pow.f64 x 4))

series307.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
59.0ms
(*.f64 1/360 (pow.f64 x 6))
52.0ms
(*.f64 1/12 (pow.f64 x 4))

simplify76.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05273810

prune52.0ms

Filtered
44 candidates to 70 candidates (-59.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done000
Total70272

Merged error: 0.0b

Counts
72 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))
0.0b
(-.f64 (exp.f64 x) 2)
0.3b
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
4.9b
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
12×frac-add_binary64 exp-diff_binary64 log-div_binary64
11×add-log-exp_binary64
10×log-prod_binary64
add-sqr-sqrt_binary64
flip3--_binary64 add-cube-cbrt_binary64 flip--_binary64
pow1_binary64 distribute-lft-out_binary64 neg-sub0_binary64 exp-neg_binary64
add-exp-log_binary64 exp-sum_binary64
add-cbrt-cube_binary64 distribute-lft-out--_binary64 exp-prod_binary64
flip3-+_binary64 flip-+_binary64
sub-neg_binary64 diff-log_binary64 log-pow_binary64 sum-log_binary64
associate-+r-_binary64 rem-log-exp_binary64 rem-exp-log_binary64 difference-of-squares_binary64 +-commutative_binary64 associate-+r+_binary64
Counts
4 → 76
Calls
4 calls:
10.0ms
(log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))
4.0ms
(-.f64 (exp.f64 x) 2)
11.0ms
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
10.0ms
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))

series499.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))
14.0ms
(-.f64 (exp.f64 x) 2)
233.0ms
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
63.0ms
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))

simplify124.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
048701737
148701737

prune51.0ms

Filtered
56 candidates to 88 candidates (-57.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done011
Total88290

Merged error: 0.0b

Counts
90 → 2

regimes10.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
11722

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.5s4223×body2048valid
491.0ms1873×body1024valid
147.0ms1035×body512valid
43.0ms500×body256valid
17.0ms369×body128valid
0.0msbody128invalid

Profiling

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