Details

Time bar (total: 3.6s)

analyze15.0ms (0.4%)

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%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample58.0ms (1.6%)

Algorithm
intervals
Results
34.0ms124×body1024valid
11.0ms76×body512valid
3.0ms30×body256valid
2.0msbody2048valid
1.0ms18×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify265.0ms (7.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
0471922
1471922

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.7b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.8b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_760
30×times-frac_binary64_766 add-sqr-sqrt_binary64_782
16×add-cube-cbrt_binary64_795
distribute-lft-out_binary64_711 cosh-undef_binary64_954 difference-of-squares_binary64_729 distribute-lft-out--_binary64_712 sinh-undef_binary64_953
associate-/l*_binary64_705
associate-/r*_binary64_704
add-exp-log_binary64_798 add-log-exp_binary64_799 add-cbrt-cube_binary64_796
cancel-sign-sub-inv_binary64_726
associate-/r/_binary64_706 associate-/l/_binary64_707 pow1_binary64_821 flip--_binary64_735 flip3--_binary64_764
diff-log_binary64_852 frac-2neg_binary64_771 cbrt-undiv_binary64_794 flip3-+_binary64_763 div-inv_binary64_757 flip-+_binary64_734 tanh-undef_binary64_955 div-sub_binary64_765 div-exp_binary64_811 clear-num_binary64_759 sub-neg_binary64_753
Counts
2 → 76
Calls

2 calls:

14.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series179.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

138.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
41.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify80.0ms (2.2%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049412143
149412143

prune67.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283

Merged error: 0b

Counts
83 → 2
Compiler

Compiled 1673 to 314 computations (81.2% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_760 tanh-def-b_binary64_948 add-exp-log_binary64_798 add-cube-cbrt_binary64_795 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 tanh-def-c_binary64_949 tanh-def-a_binary64_947 pow1_binary64_821 add-sqr-sqrt_binary64_782
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series97.0ms (2.7%)

Counts
1 → 3
Calls

1 calls:

97.0ms
(tanh.f64 x)

simplify47.0ms (1.3%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05377124

prune8.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2
Compiler

Compiled 106 to 61 computations (42.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 x)
0.2b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
0.7b
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

rewrite41.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
135×times-frac_binary64_766
102×*-un-lft-identity_binary64_760
70×add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
23×associate-/r*_binary64_704
16×distribute-lft-out_binary64_711 cosh-undef_binary64_954
10×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
associate-/l*_binary64_705
associate-/r/_binary64_706 div-inv_binary64_757 sinh-def_binary64_945
cbrt-undiv_binary64_794 div-exp_binary64_811
add-log-exp_binary64_799 pow1_binary64_821
frac-2neg_binary64_771 associate-/l/_binary64_707 clear-num_binary64_759
flip3-+_binary64_763 flip-+_binary64_734
Counts
3 → 144
Calls

3 calls:

11.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
8.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
1.0ms
(sinh.f64 x)

series453.0ms (12.5%)

Counts
3 → 9
Calls

3 calls:

208.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
177.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
67.0ms
(sinh.f64 x)

simplify81.0ms (2.2%)

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049323597
149323597

prune122.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh000
Picked011
Done011
Total1532155

Merged error: 0b

Counts
155 → 2
Compiler

Compiled 2795 to 955 computations (65.8% saved)

regimes38.0ms (1.1%)

Compiler

Compiled 254 to 182 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.0s (55.7%)

Algorithm
intervals
Results
1.1s3916×body1024valid
298.0ms1940×body512valid
127.0ms411×body2048valid
92.0ms953×body256valid
38.0ms780×body128valid
Compiler

Compiled 129 to 94 computations (27.1% saved)

Profiling

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