Details

Time bar (total: 2.7s)

analyze20.0ms (0.7%)

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)

sample55.0ms (2.1%)

Algorithm
intervals
Results
33.0ms125×body1024valid
7.0ms50×body512valid
4.0ms15×body2048valid
3.0ms38×body256valid
1.0ms28×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify154.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
0479722
1479722

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.7b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms (0.9%)

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:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series95.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

75.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
20.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify88.0ms (3.3%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049532143
149532143

prune61.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh000
Picked011
Done000
Total80383

Merged error: 0.0b

Counts
83 → 3
Compiler

Compiled 1667 to 309 computations (81.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite1.0ms (0.1%)

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)

series53.0ms (2%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(tanh.f64 x)

simplify50.0ms (1.9%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05383124

prune8.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0.0b

Counts
16 → 3
Compiler

Compiled 100 to 56 computations (44% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(sinh.f64 x)
1.7b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
times-frac_binary64_766
add-exp-log_binary64_798 add-cbrt-cube_binary64_796
associate-/r*_binary64_704 associate-/l*_binary64_705
add-log-exp_binary64_799 pow1_binary64_821 sinh-def_binary64_945
frac-2neg_binary64_771 cbrt-undiv_binary64_794 associate-/r/_binary64_706 associate-/l/_binary64_707 div-inv_binary64_757 cosh-def_binary64_946 div-exp_binary64_811 clear-num_binary64_759
Counts
2 → 37
Calls

2 calls:

4.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)

series143.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

107.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
35.0ms
(sinh.f64 x)

simplify69.0ms (2.6%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04886537
14886537

prune22.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done022
Total43346

Merged error: 0.0b

Counts
46 → 3
Compiler

Compiled 446 to 140 computations (68.6% saved)

regimes26.0ms (1%)

Compiler

Compiled 140 to 98 computations (30% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.8s (66.4%)

Algorithm
intervals
Results
1.0s3978×body1024valid
266.0ms1931×body512valid
109.0ms391×body2048valid
81.0ms979×body256valid
30.0ms721×body128valid
0.0msbody128overflowed
Compiler

Compiled 72 to 52 computations (27.8% saved)

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