Details

Time bar (total: 3.1s)

analyze5.0ms (0.2%)

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%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample57.0ms (1.9%)

Algorithm
intervals
Results
36.0ms129×body1024valid
9.0ms60×body512valid
3.0ms37×body256valid
2.0msbody2048valid
1.0ms23×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify219.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0484613
1484613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.8b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_760 add-sqr-sqrt_binary64_782
cancel-sign-sub-inv_binary64_726 add-log-exp_binary64_799
add-cube-cbrt_binary64_795
diff-log_binary64_852 add-exp-log_binary64_798 difference-of-squares_binary64_729 add-cbrt-cube_binary64_796 distribute-lft-out--_binary64_712 sinh-undef_binary64_953 pow1_binary64_821 sub-neg_binary64_753 flip--_binary64_735 flip3--_binary64_764
Counts
1 → 17
Calls

1 calls:

6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series40.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify66.0ms (2.1%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04877273
14877273

prune17.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321

Merged error: 0b

Counts
21 → 3
Compiler

Compiled 271 to 134 computations (50.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_760 add-exp-log_binary64_798 add-cube-cbrt_binary64_795 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 pow1_binary64_821 sinh-def_binary64_945 add-sqr-sqrt_binary64_782
Counts
1 → 8
Calls

1 calls:

1.0ms
(sinh.f64 x)

series76.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

76.0ms
(sinh.f64 x)

simplify58.0ms (1.9%)

Algorithm
egg-herbie
Counts
11 → 11
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0541298

prune10.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New11011
Fresh011
Picked011
Done011
Total11314

Merged error: 0b

Counts
14 → 3
Compiler

Compiled 137 to 96 computations (29.9% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 x x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
0.1b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite44.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_782
19×associate-*r*_binary64_700
18×add-log-exp_binary64_799
16×*-un-lft-identity_binary64_760
14×add-exp-log_binary64_798
11×add-cube-cbrt_binary64_795
sum-log_binary64_851
add-cbrt-cube_binary64_796 unpow-prod-down_binary64_839
unswap-sqr_binary64_728
prod-exp_binary64_809 flip3-+_binary64_763 flip-+_binary64_734 associate-*l*_binary64_701
frac-add_binary64_768 sqr-pow_binary64_732 cube-prod_binary64_788 pow1_binary64_821
distribute-lft-out_binary64_711
pow-exp_binary64_828 pow-to-exp_binary64_829 +-commutative_binary64_690 cbrt-unprod_binary64_793 *-commutative_binary64_691
cube-mult_binary64_790 unpow3_binary64_826 associate-+l+_binary64_693 associate-+r+_binary64_692
Counts
4 → 89
Calls

4 calls:

15.0ms
(+.f64 (+.f64 x x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
8.0ms
(*.f64 1/3 (pow.f64 x 3))
7.0ms
(*.f64 1/60 (pow.f64 x 5))
7.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))

series366.0ms (11.9%)

Counts
4 → 12
Calls

4 calls:

198.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
60.0ms
(*.f64 1/60 (pow.f64 x 5))
58.0ms
(+.f64 (+.f64 x x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
49.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify62.0ms (2%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
048731643
148731643

prune124.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0b

Counts
104 → 3
Compiler

Compiled 2279 to 1661 computations (27.1% saved)

regimes25.0ms (0.8%)

Compiler

Compiled 123 to 107 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.9s (60.7%)

Algorithm
intervals
Results
1.1s3962×body1024valid
285.0ms1940×body512valid
122.0ms419×body2048valid
97.0ms1017×body256valid
32.0ms662×body128valid
0.0msbody128invalid
Compiler

Compiled 46 to 42 computations (8.7% saved)

Profiling

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