Details

Time bar (total: 3.3s)

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)

sample61.0ms (1.9%)

Algorithm
intervals
Results
37.0ms128×body1024valid
9.0ms61×body512valid
4.0ms12×body2048valid
3.0ms29×body256valid
1.0ms26×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify262.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0471922
1471922

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.5b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite32.0ms (1%)

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity_binary64_767
31×add-sqr-sqrt_binary64_789
30×times-frac_binary64_773
17×add-cube-cbrt_binary64_802
distribute-lft-out_binary64_718 2cosh-undef_binary64_963
add-log-exp_binary64_806 distribute-lft-out--_binary64_719 2sinh-undef_binary64_962 difference-of-squares_binary64_736
associate-/l*_binary64_712
associate-/r*_binary64_711 add-exp-log_binary64_805 add-cbrt-cube_binary64_803
pow1_binary64_828 cancel-sign-sub-inv_binary64_733
associate-/l/_binary64_714 associate-/r/_binary64_713 flip-+_binary64_741 flip3-+_binary64_770 flip--_binary64_742 flip3--_binary64_771
tanh-undef_binary64_964 frac-2neg_binary64_778 cbrt-undiv_binary64_801 sub-neg_binary64_760 diff-log_binary64_859 +-commutative_binary64_697 sum-log_binary64_858 div-exp_binary64_818 div-sub_binary64_772 clear-num_binary64_766 div-inv_binary64_764
Counts
3 → 89
Calls

3 calls:

13.0ms
(/.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)))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series228.0ms (6.9%)

Counts
3 → 9
Calls

3 calls:

152.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
48.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
27.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify81.0ms (2.4%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050012364

prune94.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done000
Total97299

Merged error: 0b

Counts
99 → 2
Compiler

Compiled 2210 to 522 computations (76.4% 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
tanh-def-a_binary64_954 tanh-def-b_binary64_955 add-exp-log_binary64_805 pow1_binary64_828 tanh-def-c_binary64_956 add-log-exp_binary64_806 add-sqr-sqrt_binary64_789 *-un-lft-identity_binary64_767 add-cbrt-cube_binary64_803 add-cube-cbrt_binary64_802
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series98.0ms (3%)

Counts
1 → 3
Calls

1 calls:

98.0ms
(tanh.f64 x)

simplify50.0ms (1.5%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05377124

prune9.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2
Compiler

Compiled 111 to 66 computations (40.5% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(cosh.f64 x)
0.0b
(sinh.f64 x)
0.5b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_789 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
times-frac_binary64_773
add-exp-log_binary64_805 add-cbrt-cube_binary64_803
associate-/r*_binary64_711 pow1_binary64_828 add-log-exp_binary64_806 associate-/l*_binary64_712
cosh-def_binary64_953 sinh-def_binary64_952
frac-2neg_binary64_778 associate-/l/_binary64_714 cbrt-undiv_binary64_801 associate-/r/_binary64_713 div-exp_binary64_818 clear-num_binary64_766 div-inv_binary64_764
Counts
3 → 45
Calls

3 calls:

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

series342.0ms (10.4%)

Counts
3 → 9
Calls

3 calls:

212.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
76.0ms
(sinh.f64 x)
53.0ms
(cosh.f64 x)

simplify67.0ms (2%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04868623
14868623

prune29.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done011
Total54256

Merged error: 0b

Counts
56 → 2
Compiler

Compiled 549 to 186 computations (66.1% saved)

regimes7.0ms (0.2%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.9s (57.4%)

Algorithm
intervals
Results
1.2s3919×body1024valid
290.0ms1888×body512valid
134.0ms423×body2048valid
94.0ms964×body256valid
40.0ms806×body128valid
0.0msbody128overflowed
Compiler

Compiled 23 to 17 computations (26.1% saved)

Profiling

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