Details

Time bar (total: 3.9s)

analyze27.0ms (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)

sample97.0ms (2.5%)

Algorithm
intervals
Results
56.0ms116×body1024valid
18.0ms76×body512valid
6.0ms11×body2048valid
4.0ms28×body256valid
2.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify213.0ms (5.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.2b
Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.5b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite47.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_1783
30×add-sqr-sqrt_binary64_1805 times-frac_binary64_1789
16×add-cube-cbrt_binary64_1818
sinh-undef_binary64_1976 difference-of-squares_binary64_1752 distribute-lft-out_binary64_1734 cosh-undef_binary64_1977 distribute-lft-out--_binary64_1735
associate-/l*_binary64_1728
associate-/r*_binary64_1727
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-log-exp_binary64_1822
cancel-sign-sub-inv_binary64_1749
flip3--_binary64_1787 associate-/l/_binary64_1730 associate-/r/_binary64_1729 flip--_binary64_1758 pow1_binary64_1844
div-sub_binary64_1788 tanh-undef_binary64_1978 flip-+_binary64_1757 div-inv_binary64_1780 diff-log_binary64_1875 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 flip3-+_binary64_1786 clear-num_binary64_1782 sub-neg_binary64_1776
Counts
2 → 76
Calls

2 calls:

22.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series134.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
38.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify150.0ms (3.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
049532143
149532143

prune120.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283
Error
0b
Counts
83 → 2
Compiler

Compiled 1667 to 309 computations (81.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_1819 tanh-def-b_binary64_1971 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 tanh-def-c_binary64_1972 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 tanh-def-a_binary64_1970 add-log-exp_binary64_1822 pow1_binary64_1844
Counts
1 → 10
Calls

1 calls:

2.0ms
(tanh.f64 x)

series95.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

95.0ms
(tanh.f64 x)

simplify78.0ms (2%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05383124

prune8.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215
Error
0b
Counts
15 → 2
Compiler

Compiled 100 to 56 computations (44% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(sinh.f64 x)
1.0b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
times-frac_binary64_1789
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
associate-/l*_binary64_1728 associate-/r*_binary64_1727
sinh-def_binary64_1968 add-log-exp_binary64_1822 pow1_binary64_1844
associate-/l/_binary64_1730 associate-/r/_binary64_1729 cosh-def_binary64_1969 div-inv_binary64_1780 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 clear-num_binary64_1782
Counts
2 → 37
Calls

2 calls:

6.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
2.0ms
(sinh.f64 x)

series214.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

164.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
50.0ms
(sinh.f64 x)

simplify77.0ms (2%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04886537
14886537

prune26.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done011
Total43245
Error
0b
Counts
45 → 2
Compiler

Compiled 446 to 140 computations (68.6% saved)

regimes41.0ms (1.1%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Compiler

Compiled 206 to 134 computations (35% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.5s (64.6%)

Algorithm
intervals
Results
1.5s3987×body1024valid
365.0ms1911×body512valid
137.0ms355×body2048valid
108.0ms952×body256valid
45.0ms795×body128valid
0.0msbody128overflowed
Compiler

Compiled 105 to 70 computations (33.3% saved)

Profiling

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