Details

Time bar (total: 2.3s)

analyze170.0ms (7.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0503929
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 20 to 16 computations (20% saved)

sample17.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify76.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
0503929

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite47.0ms (2%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_1805
26×associate-*l*_binary64_1724
23×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 *-un-lft-identity_binary64_1783
22×add-cube-cbrt_binary64_1818 times-frac_binary64_1789
20×sqrt-prod_binary64_1799
18×sqrt-div_binary64_1800 frac-times_binary64_1793
17×pow1_binary64_1844
15×flip3--_binary64_1787 flip--_binary64_1758
12×associate-*r*_binary64_1723
10×associate-*r/_binary64_1725 cbrt-unprod_binary64_1816 prod-exp_binary64_1832
associate-*l/_binary64_1726
pow-prod-down_binary64_1854 unswap-sqr_binary64_1751
add-log-exp_binary64_1822
*-commutative_binary64_1714
difference-of-squares_binary64_1752 distribute-lft-in_binary64_1732 cancel-sign-sub-inv_binary64_1749 cbrt-undiv_binary64_1817 distribute-rgt-in_binary64_1733 div-exp_binary64_1834 sub-neg_binary64_1776
div-inv_binary64_1780 pow1/2_binary64_1863 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796
Counts
4 → 129
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series181.0ms (7.9%)

Counts
4 → 12
Calls

4 calls:

86.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
52.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
25.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 3 (*.f64 v v))

simplify85.0ms (3.7%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049323693
149323693

prune222.0ms (9.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1401141
Fresh000
Picked011
Done000
Total1402142

Merged error: 0b

Counts
142 → 2
Compiler

Compiled 3922 to 2920 computations (25.5% saved)

localize25.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3)))
0.1b
(*.f64 (pow.f64 v 6) -27)
0.1b
(*.f64 9 (pow.f64 v 3))
0.2b
(*.f64 v (+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3))))

rewrite36.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_1805
18×associate-*r*_binary64_1723
16×add-exp-log_binary64_1821
13×add-cube-cbrt_binary64_1818 associate-*l*_binary64_1724 *-un-lft-identity_binary64_1783
10×add-cbrt-cube_binary64_1819
unpow-prod-down_binary64_1862 unswap-sqr_binary64_1751
prod-exp_binary64_1832
add-log-exp_binary64_1822 pow1_binary64_1844
sqr-pow_binary64_1755 cube-prod_binary64_1811
cbrt-unprod_binary64_1816 *-commutative_binary64_1714
associate-*r/_binary64_1725 flip-+_binary64_1757 flip3-+_binary64_1786 pow-to-exp_binary64_1852 pow-exp_binary64_1851
+-commutative_binary64_1713 distribute-lft-in_binary64_1732 cube-mult_binary64_1813 unpow3_binary64_1849 distribute-rgt-in_binary64_1733 sum-log_binary64_1874 pow-prod-down_binary64_1854
Counts
4 → 89
Calls

4 calls:

9.0ms
(*.f64 9 (pow.f64 v 3))
7.0ms
(*.f64 v (+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3))))
6.0ms
(*.f64 (pow.f64 v 6) -27)
4.0ms
(+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3)))

series200.0ms (8.7%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(*.f64 v (+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3))))
61.0ms
(+.f64 (*.f64 3 v) (*.f64 9 (pow.f64 v 3)))
32.0ms
(*.f64 (pow.f64 v 6) -27)
28.0ms
(*.f64 9 (pow.f64 v 3))

simplify93.0ms (4%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050851248

prune258.0ms (11.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done011
Total1012103

Merged error: 0b

Counts
103 → 2
Compiler

Compiled 4524 to 3617 computations (20% saved)

regimes73.0ms (3.2%)

Compiler

Compiled 928 to 768 computations (17.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05429
15429

end0.0ms (0%)

sample804.0ms (34.9%)

Algorithm
intervals
Results
393.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 333 to 276 computations (17.1% saved)

Profiling

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