Details

Time bar (total: 1.8s)

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 (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify94.0ms (5.2%)

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: 15.9b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.9b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 times-frac_binary64_1789
add-cbrt-cube_binary64_1819 associate-/l*_binary64_1728 add-exp-log_binary64_1821 associate-/r*_binary64_1727
associate-/r/_binary64_1729
flip-+_binary64_1757 div-inv_binary64_1780 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 flip3-+_binary64_1786 clear-num_binary64_1782 add-log-exp_binary64_1822 pow1_binary64_1844
Counts
1 → 29
Calls

1 calls:

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

series26.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify62.0ms (3.4%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05064550

prune37.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233

Merged error: 0b

Counts
33 → 2
Compiler

Compiled 488 to 271 computations (44.5% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

3.7b
(/.f64 x (+.f64 (pow.f64 x 4) -1))
21.4b
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (-.f64 (*.f64 x x) 1))

rewrite38.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64_1805
43×*-un-lft-identity_binary64_1783 times-frac_binary64_1789
28×add-cube-cbrt_binary64_1818
27×associate-*l*_binary64_1724
21×difference-of-sqr--1_binary64_1754
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
sqr-pow_binary64_1755 distribute-lft-out_binary64_1734 unpow-prod-down_binary64_1862 associate-/r*_binary64_1727
cancel-sign-sub-inv_binary64_1749 associate-*r*_binary64_1723
associate-/r/_binary64_1729 distribute-lft-in_binary64_1732 distribute-rgt-in_binary64_1733 pow1_binary64_1844
associate-/l*_binary64_1728
flip3--_binary64_1787 associate-*r/_binary64_1725 difference-of-squares_binary64_1752 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 flip-+_binary64_1757 div-inv_binary64_1780 cbrt-undiv_binary64_1817 div-exp_binary64_1834 frac-times_binary64_1793 flip3-+_binary64_1786 unswap-sqr_binary64_1751 flip--_binary64_1758 sub-neg_binary64_1776 add-log-exp_binary64_1822
difference-of-sqr-1_binary64_1753 associate-*l/_binary64_1726 *-commutative_binary64_1714 frac-2neg_binary64_1794 clear-num_binary64_1782 pow-prod-down_binary64_1854
Counts
2 → 106
Calls

2 calls:

19.0ms
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (-.f64 (*.f64 x x) 1))
10.0ms
(/.f64 x (+.f64 (pow.f64 x 4) -1))

series107.0ms (6%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(/.f64 x (+.f64 (pow.f64 x 4) -1))
43.0ms
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (-.f64 (*.f64 x x) 1))

simplify89.0ms (4.9%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049151953
149151953

prune106.0ms (5.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done000
Total1122114

Merged error: 0b

Counts
114 → 2
Compiler

Compiled 2149 to 1388 computations (35.4% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (pow.f64 x 5))
0.2b
(pow.f64 (/.f64 1 x) 3)
20.2b
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

rewrite73.0ms (4%)

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt_binary64_1805
61×*-un-lft-identity_binary64_1783 times-frac_binary64_1789
49×add-cube-cbrt_binary64_1818
41×unpow-prod-down_binary64_1862
32×cancel-sign-sub-inv_binary64_1749
29×cube-prod_binary64_1811
17×add-exp-log_binary64_1821
div-inv_binary64_1780
add-cbrt-cube_binary64_1819 difference-of-squares_binary64_1752 div-exp_binary64_1834 add-log-exp_binary64_1822
sqr-pow_binary64_1755 associate-/r*_binary64_1727 pow-exp_binary64_1851
distribute-lft-out--_binary64_1735 pow1_binary64_1844
distribute-lft-out_binary64_1734 1-exp_binary64_1827 cube-div_binary64_1812 pow-to-exp_binary64_1852 rec-exp_binary64_1833
associate-/l*_binary64_1728 pow-unpow_binary64_1860 frac-sub_binary64_1792 pow-pow_binary64_1855
inv-pow_binary64_1868 rem-cube-cbrt_binary64_1806 cube-mult_binary64_1813 unpow3_binary64_1849 pow-flip_binary64_1857 diff-log_binary64_1875 cbrt-undiv_binary64_1817
flip3--_binary64_1787 frac-add_binary64_1791 flip-+_binary64_1757 frac-2neg_binary64_1794 sum-log_binary64_1874 flip3-+_binary64_1786 clear-num_binary64_1782 associate--l+_binary64_1720 flip--_binary64_1758 sub-neg_binary64_1776
Counts
3 → 164
Calls

3 calls:

48.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))
5.0ms
(pow.f64 (/.f64 1 x) 3)
5.0ms
(/.f64 1 (pow.f64 x 5))

series72.0ms (4%)

Counts
3 → 9
Calls

3 calls:

27.0ms
(/.f64 1 (pow.f64 x 5))
25.0ms
(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))

simplify98.0ms (5.5%)

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048922523
148922523

prune204.0ms (11.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done011
Total1732175

Merged error: 0b

Counts
175 → 2
Compiler

Compiled 3404 to 2696 computations (20.8% saved)

regimes111.0ms (6.1%)

Compiler

Compiled 646 to 440 computations (31.9% saved)

bsearch32.0ms (1.8%)

Steps
ItersRangePoint
10
2.991558912652754e-06
927635499858.977
471.0555901705247
10
-73288.69625500137
-1.2590104920616026e-09
-15247.443439880883
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04352
14352

end0.0ms (0%)

sample612.0ms (33.9%)

Algorithm
intervals
Results
177.0ms8000×body128valid
Compiler

Compiled 328 to 229 computations (30.2% saved)

Profiling

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