Details

Time bar (total: 1.5s)

analyze1.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample10.0ms (0.6%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify96.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
1810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.9b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

14.9b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795 times-frac_binary64_766 add-sqr-sqrt_binary64_782
add-exp-log_binary64_798 associate-/r*_binary64_704 add-cbrt-cube_binary64_796 associate-/l*_binary64_705
associate-/r/_binary64_706
frac-2neg_binary64_771 cbrt-undiv_binary64_794 flip3-+_binary64_763 add-log-exp_binary64_799 div-inv_binary64_757 flip-+_binary64_734 div-exp_binary64_811 pow1_binary64_821 clear-num_binary64_759
Counts
1 → 29
Calls

1 calls:

6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series26.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

26.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify60.0ms (4%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05064550

prune37.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh000
Picked011
Done000
Total31233

Merged error: 0b

Counts
33 → 2
Compiler

Compiled 475 to 261 computations (45.1% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
0.0b
(/.f64 1 (pow.f64 x 5))
0.2b
(pow.f64 (/.f64 1 x) 3)
22.2b
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

rewrite89.0ms (6%)

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity_binary64_760
69×add-sqr-sqrt_binary64_782
67×times-frac_binary64_766
52×add-cube-cbrt_binary64_795
41×unpow-prod-down_binary64_839
32×cancel-sign-sub-inv_binary64_726
29×cube-prod_binary64_788
18×add-exp-log_binary64_798
13×div-inv_binary64_757
11×distribute-lft-out_binary64_711 add-log-exp_binary64_799
add-cbrt-cube_binary64_796
difference-of-squares_binary64_729 div-exp_binary64_811
associate-/r*_binary64_704 pow-exp_binary64_828 sqr-pow_binary64_732
pow1_binary64_821
distribute-lft-out--_binary64_712
pow-to-exp_binary64_829 cube-div_binary64_789 rec-exp_binary64_810 1-exp_binary64_804
associate-/l*_binary64_705 frac-sub_binary64_769 pow-unpow_binary64_837 pow-pow_binary64_832
cube-mult_binary64_790 diff-log_binary64_852 cbrt-undiv_binary64_794 flip3-+_binary64_763 unpow3_binary64_826 frac-add_binary64_768 inv-pow_binary64_845 rem-cube-cbrt_binary64_783 flip-+_binary64_734 sum-log_binary64_851 pow-flip_binary64_834
frac-2neg_binary64_771 +-commutative_binary64_690 associate--l+_binary64_697 clear-num_binary64_759 sub-neg_binary64_753 flip--_binary64_735 flip3--_binary64_764
Counts
4 → 183
Calls

4 calls:

42.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))
19.0ms
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
7.0ms
(pow.f64 (/.f64 1 x) 3)
5.0ms
(/.f64 1 (pow.f64 x 5))

series118.0ms (8%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5)))
27.0ms
(/.f64 1 (pow.f64 x 5))
21.0ms
(pow.f64 (/.f64 1 x) 3)
19.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

simplify97.0ms (6.5%)

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048522880
148522880

prune239.0ms (16.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1950195
Fresh000
Picked011
Done011
Total1952197

Merged error: 0b

Counts
197 → 2
Compiler

Compiled 3844 to 3055 computations (20.5% saved)

regimes103.0ms (7%)

Compiler

Compiled 568 to 382 computations (32.7% saved)

bsearch25.0ms (1.7%)

Steps
ItersRangePoint
8
0.05923992368807123
1937.3558517433642
418.9825095717718
8
-155787647.53139877
-12463.327409988742
-152212185.25943366
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03646
13646

end0.0ms (0%)

sample556.0ms (37.6%)

Algorithm
intervals
Results
169.0ms8000×body128valid
Compiler

Compiled 290 to 201 computations (30.7% saved)

Profiling

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