Details

Time bar (total: 5.8s)

analyze14.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample49.0ms (0.8%)

Algorithm
intervals
Results
25.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify235.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0504713

prune15.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.8b
(/.f64 1 (*.f64 i i))

rewrite190.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×add-sqr-sqrt_binary64_1805
35×times-frac_binary64_1789
33×*-un-lft-identity_binary64_1783
17×add-cube-cbrt_binary64_1818
15×add-exp-log_binary64_1821
12×difference-of-squares_binary64_1752
10×pow1_binary64_1844
add-cbrt-cube_binary64_1819 associate-/r*_binary64_1727
distribute-lft-out--_binary64_1735
pow-flip_binary64_1857 div-inv_binary64_1780 associate-/l*_binary64_1728
div-exp_binary64_1834
prod-exp_binary64_1832 cbrt-undiv_binary64_1817
1-exp_binary64_1827 rec-exp_binary64_1833 add-log-exp_binary64_1822 frac-2neg_binary64_1794 clear-num_binary64_1782 associate-/r/_binary64_1729
inv-pow_binary64_1868 pow2_binary64_1864 pow-prod-down_binary64_1854 pow-prod-up_binary64_1853 pow-plus_binary64_1846 pow-sqr_binary64_1756 cbrt-unprod_binary64_1816 flip3--_binary64_1787 flip--_binary64_1758
Counts
2 → 81
Calls

2 calls:

15.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
10.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series131.0ms (2.3%)

Error
0.0b
Counts
2 → 13
Calls

2 calls:

74.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
37.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 345 to 317 computations (8.1% saved)

simplify121.0ms (2.1%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
048801285
148801285

prune156.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New92294
Fresh101
Picked011
Done000
Total93396
Error
0b
Counts
96 → 3
Compiler

Compiled 1273 to 967 computations (24% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite640.0ms (11%)

Algorithm
rewrite-expression-head
Error
0b
Rules
108×add-sqr-sqrt_binary64_1805
96×times-frac_binary64_1789 *-un-lft-identity_binary64_1783
47×add-cube-cbrt_binary64_1818
30×associate-*r*_binary64_1723
21×difference-of-squares_binary64_1752 associate-*l*_binary64_1724
19×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
18×div-inv_binary64_1780
14×distribute-lft-out_binary64_1734 distribute-lft-out--_binary64_1735
13×associate-/r*_binary64_1727
associate-/r/_binary64_1729
div-exp_binary64_1834 cbrt-undiv_binary64_1817 associate-/l*_binary64_1728
pow1_binary64_1844
prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751
add-log-exp_binary64_1822
frac-2neg_binary64_1794 clear-num_binary64_1782 flip3-+_binary64_1786 flip-+_binary64_1757 flip3--_binary64_1787 flip--_binary64_1758
pow-prod-down_binary64_1854 frac-times_binary64_1793 associate-*l/_binary64_1726 associate-*r/_binary64_1725 *-commutative_binary64_1714
Counts
3 → 161
Calls

3 calls:

63.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
17.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
15.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
Compiler

Compiled 4103 to 3618 computations (11.8% saved)

series273.0ms (4.7%)

Error
0b
Counts
3 → 34
Calls

3 calls:

92.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
60.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
58.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
Compiler

Compiled 1190 to 1053 computations (11.5% saved)

simplify189.0ms (3.2%)

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
049173640
149173640

prune522.0ms (8.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1950195
Fresh011
Picked011
Done011
Total1953198
Error
0b
Counts
198 → 3
Compiler

Compiled 4132 to 3556 computations (13.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
0.0b
(*.f64 (*.f64 i i) -1/4)

rewrite91.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 cancel-sign-sub-inv_binary64_1749
add-sqr-sqrt_binary64_1805
add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
add-log-exp_binary64_1822
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 associate-*r*_binary64_1723 unpow-prod-down_binary64_1862
unswap-sqr_binary64_1751 associate-*l*_binary64_1724 *-commutative_binary64_1714 diff-log_binary64_1875 flip3--_binary64_1787 sub-neg_binary64_1776 flip--_binary64_1758 sqr-pow_binary64_1755
Counts
2 → 37
Calls

2 calls:

13.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
11.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 606 to 385 computations (36.5% saved)

series191.0ms (3.3%)

Error
0b
Counts
2 → 9
Calls

2 calls:

132.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
48.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 201 to 175 computations (12.9% saved)

simplify109.0ms (1.9%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
05159487

prune62.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done022
Total46349
Error
0b
Counts
49 → 3
Compiler

Compiled 539 to 349 computations (35.3% saved)

regimes231.0ms (4%)

Accuracy

Total 0.1b remaining (99.2%)

Threshold costs 0.1b (99.2%)

Compiler

Compiled 1078 to 933 computations (13.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03622
13622

end0.0ms (0%)

sample2.6s (44%)

Algorithm
intervals
Results
800.0ms8000×body128valid
172.0ms8000×pre128true
Compiler

Compiled 519 to 457 computations (11.9% saved)

Profiling

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