Details

Time bar (total: 3.2s)

analyze15.0ms (0.5%)

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
38.0ms130×body1024valid
10.0ms67×body512valid
3.0ms27×body256valid
3.0msbody2048valid
1.0ms23×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify229.0ms (7.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0497222
1497222

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.2b

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)))
1.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.6b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite32.0ms (1%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64_751
30×times-frac_binary64_757 add-sqr-sqrt_binary64_772
16×add-cube-cbrt_binary64_783
distribute-lft-out_binary64_704 cosh-undef_binary64_942
distribute-lft-out--_binary64_705 sinh-undef_binary64_941 add-log-exp_binary64_787 difference-of-squares_binary64_720
associate-/l*_binary64_698
associate-/r*_binary64_697 add-cbrt-cube_binary64_784 add-exp-log_binary64_786
pow1_binary64_809
flip3-+_binary64_754 associate-/l/_binary64_700 flip--_binary64_726 associate-/r/_binary64_699 flip3--_binary64_755 flip-+_binary64_725
+-commutative_binary64_683 div-sub_binary64_756 tanh-undef_binary64_943 div-inv_binary64_748 diff-log_binary64_840 cbrt-undiv_binary64_782 sum-log_binary64_839 frac-2neg_binary64_762 clear-num_binary64_750 sub-neg_binary64_744 div-exp_binary64_799
Counts
3 → 86
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)))

series226.0ms (7.1%)

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))))
47.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
26.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify51.0ms (1.6%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052211826

prune74.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh000
Picked101
Done000
Total94296

Merged error: 0b

Counts
96 → 2
Compiler

Compiled 1629 to 522 computations (68% 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
add-cube-cbrt_binary64_783 tanh-def-b_binary64_936 tanh-def-a_binary64_935 pow1_binary64_809 add-log-exp_binary64_787 add-cbrt-cube_binary64_784 *-un-lft-identity_binary64_751 add-exp-log_binary64_786 tanh-def-c_binary64_937 add-sqr-sqrt_binary64_772
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series103.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

102.0ms
(tanh.f64 x)

simplify44.0ms (1.4%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05365124

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 106 to 61 computations (42.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b
(sinh.f64 x)
1.7b
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_751
add-cbrt-cube_binary64_784 add-exp-log_binary64_786
add-cube-cbrt_binary64_783 associate-/r*_binary64_697 add-log-exp_binary64_787 times-frac_binary64_757 add-sqr-sqrt_binary64_772
distribute-lft-out_binary64_704 cosh-undef_binary64_942 pow1_binary64_809
flip3-+_binary64_754 sinh-def_binary64_933 associate-/r/_binary64_699 cbrt-undiv_binary64_782 flip-+_binary64_725 div-exp_binary64_799
prod-exp_binary64_797 +-commutative_binary64_683 associate-/l/_binary64_700 div-inv_binary64_748 associate-*r/_binary64_695 sum-log_binary64_839 frac-2neg_binary64_762 cbrt-unprod_binary64_781 clear-num_binary64_750 associate-/l*_binary64_698
Counts
3 → 49
Calls

3 calls:

10.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(sinh.f64 x)

series314.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

219.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
69.0ms
(sinh.f64 x)
26.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify62.0ms (1.9%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04907734
14907734

prune39.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260

Merged error: 0b

Counts
60 → 2
Compiler

Compiled 802 to 288 computations (64.1% saved)

regimes8.0ms (0.2%)

Compiler

Compiled 15 to 13 computations (13.3% 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 (58.7%)

Algorithm
intervals
Results
1.1s3883×body1024valid
301.0ms2004×body512valid
125.0ms404×body2048valid
100.0ms971×body256valid
38.0ms738×body128valid
Compiler

Compiled 29 to 22 computations (24.1% saved)

Profiling

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