Details

Time bar (total: 3.6s)

analyze161.0ms (4.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
1612
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%62.4%12.6%4
37.5%43.7%18.8%5
37.5%34.3%28.2%6
43.7%23.4%32.9%7
43.7%18%38.3%8
46.8%12.1%41.1%9
46.8%9.2%44%10
48.4%6.1%45.5%11
48.4%4.6%47%12
49.2%3.1%47.7%13
49.2%2.3%48.5%14
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0ms11×body128nan
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify243.0ms (6.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
066
166

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x y))

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
sqrt-prod_binary64_1799 *-un-lft-identity_binary64_1783
add-sqr-sqrt_binary64_1805
pow1_binary64_1844 add-cube-cbrt_binary64_1818 sqrt-div_binary64_1800
pow1/2_binary64_1863 add-log-exp_binary64_1822 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819 sqrt-pow1_binary64_1801 flip3-+_binary64_1786 flip-+_binary64_1757 distribute-lft-out_binary64_1734 rem-sqrt-square_binary64_1796
Counts
1 → 16
Calls

1 calls:

4.0ms
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 159 to 56 computations (64.8% saved)

series43.0ms (1.2%)

Error
0.0b
Counts
1 → 10
Calls

1 calls:

36.0ms
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 258 to 218 computations (15.5% saved)

simplify87.0ms (2.4%)

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05110292

prune24.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh000
Picked011
Done000
Total25227
Error
0.0b
Counts
27 → 2
Compiler

Compiled 236 to 121 computations (48.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (sqrt.f64 y) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))
0.0b
(*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))
0.2b
(sqrt.f64 (/.f64 1 y))
0.2b
(*.f64 x (sqrt.f64 (/.f64 1 y)))

rewrite151.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
34×add-sqr-sqrt_binary64_1805
29×sqrt-prod_binary64_1799
23×*-un-lft-identity_binary64_1783
22×times-frac_binary64_1789
21×add-cube-cbrt_binary64_1818
17×associate-*r*_binary64_1723
13×pow1_binary64_1844
11×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
add-log-exp_binary64_1822 associate-*l*_binary64_1724
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751
sqrt-div_binary64_1800 associate-*r/_binary64_1725 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796
div-inv_binary64_1780 *-commutative_binary64_1714
pow1/2_binary64_1863 inv-pow_binary64_1868 pow-flip_binary64_1857 sum-log_binary64_1874 flip3-+_binary64_1786 flip-+_binary64_1757 +-commutative_binary64_1713
Counts
4 → 93
Calls

4 calls:

12.0ms
(*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))
9.0ms
(*.f64 x (sqrt.f64 (/.f64 1 y)))
4.0ms
(+.f64 (sqrt.f64 y) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))
3.0ms
(sqrt.f64 (/.f64 1 y))
Compiler

Compiled 1712 to 1170 computations (31.7% saved)

series333.0ms (9.2%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

128.0ms
(+.f64 (sqrt.f64 y) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))
90.0ms
(*.f64 x (sqrt.f64 (/.f64 1 y)))
87.0ms
(*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))
14.0ms
(sqrt.f64 (/.f64 1 y))
Compiler

Compiled 740 to 587 computations (20.7% saved)

simplify125.0ms (3.5%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
048531400
148531400

prune143.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh000
Picked011
Done011
Total1163119
Error
0b
Counts
119 → 3
Compiler

Compiled 1740 to 1136 computations (34.7% saved)

localize30.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3)
0.6b
(+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y)))
6.3b
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y))
23.4b
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y))) (+.f64 y (-.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/4) (*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y)))))

rewrite324.0ms (9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×*-un-lft-identity_binary64_1783
18×add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
16×pow1_binary64_1844 add-cube-cbrt_binary64_1818 add-sqr-sqrt_binary64_1805
12×times-frac_binary64_1789
pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816
add-log-exp_binary64_1822 associate-*r*_binary64_1723
distribute-lft-out_binary64_1734 associate-/r*_binary64_1727
flip3-+_binary64_1786 flip-+_binary64_1757 associate-/l*_binary64_1728 sqrt-prod_binary64_1799 pow-unpow_binary64_1860
associate-/l/_binary64_1730 associate-/r/_binary64_1729 sqrt-div_binary64_1800 associate-*r/_binary64_1725 associate-*l/_binary64_1726 pow-pow_binary64_1855 pow-exp_binary64_1851 rem-cube-cbrt_binary64_1806
div-exp_binary64_1834 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-*l*_binary64_1724 *-commutative_binary64_1714 sum-log_binary64_1874 +-commutative_binary64_1713 unpow-prod-down_binary64_1862 pow-to-exp_binary64_1852 unpow3_binary64_1849 cube-mult_binary64_1813 cube-div_binary64_1812 cube-prod_binary64_1811 sqr-pow_binary64_1755
Counts
4 → 94
Calls

4 calls:

17.0ms
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3)
16.0ms
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y))) (+.f64 y (-.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/4) (*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y)))))
13.0ms
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y))
11.0ms
(+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y)))
Compiler

Compiled 5073 to 3010 computations (40.7% saved)

series792.0ms (22%)

Error
0b
Counts
4 → 29
Calls

4 calls:

324.0ms
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y))) (+.f64 y (-.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/4) (*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y)))))
204.0ms
(+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3) 1/8) (*.f64 y (sqrt.f64 y)))
152.0ms
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 3)
56.0ms
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1 y))) 1/2) (sqrt.f64 y))
Compiler

Compiled 2205 to 1588 computations (28% saved)

simplify85.0ms (2.4%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050093982

prune246.0ms (6.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done022
Total1233126
Error
0b
Counts
126 → 3
Compiler

Compiled 5284 to 3154 computations (40.3% saved)

regimes83.0ms (2.3%)

Accuracy

Total 0.0b remaining (38.8%)

Threshold costs 0.0b (38.8%)

Compiler

Compiled 574 to 454 computations (20.9% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166
Remove

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

end0.0ms (0%)

sample684.0ms (19%)

Algorithm
intervals
Results
198.0ms8000×body128valid
5.0ms242×body128nan
Compiler

Compiled 148 to 119 computations (19.6% saved)

Profiling

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