Details

Time bar (total: 3.0s)

analyze271.0ms (9.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample57.0ms (1.9%)

Algorithm
intervals
Results
22.0ms137×body2048nan
11.0ms256×body128valid
8.0ms64×body1024nan
2.0ms24×body512nan
1.0ms14×body256nan
1.0ms16×body128nan
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify233.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
0492214
1492214

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
34.9b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

32.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
32.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64_1799 *-un-lft-identity_binary64_1783
add-sqr-sqrt_binary64_1805
add-log-exp_binary64_1822
add-cube-cbrt_binary64_1818 pow1_binary64_1844
add-cbrt-cube_binary64_1819 difference-of-squares_binary64_1752 add-exp-log_binary64_1821 sqrt-div_binary64_1800
flip3--_binary64_1787 +-commutative_binary64_1713 distribute-lft-out_binary64_1734 difference-of-sqr-1_binary64_1753 flip-+_binary64_1757 pow1/2_binary64_1863 sum-log_binary64_1874 flip3-+_binary64_1786 sqrt-pow1_binary64_1801 rem-sqrt-square_binary64_1796 flip--_binary64_1758
Counts
2 → 30
Calls

4 calls:

7.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

series57.0ms (1.9%)

Counts
2 → 12
Calls

2 calls:

32.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 177 to 157 computations (11.3% saved)

simplify66.0ms (2.2%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05081540

prune39.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New41142
Fresh000
Picked101
Done000
Total42143
Error
0b
Counts
43 → 1
Compiler

Compiled 546 to 356 computations (34.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
0.0b
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.0b
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.5b
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_1805
15×sqrt-prod_binary64_1799
12×sqrt-div_binary64_1800
11×*-un-lft-identity_binary64_1783
10×associate-*r*_binary64_1723
associate-*l*_binary64_1724
add-cube-cbrt_binary64_1818 pow1_binary64_1844
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 flip-+_binary64_1757 frac-times_binary64_1793 flip3-+_binary64_1786 unswap-sqr_binary64_1751 add-log-exp_binary64_1822
flip3--_binary64_1787 pow-prod-down_binary64_1854 flip--_binary64_1758
associate-*r/_binary64_1725 difference-of-squares_binary64_1752 pow1/2_binary64_1863 associate-*l/_binary64_1726 sqrt-pow1_binary64_1801
+-commutative_binary64_1713 distribute-lft-out_binary64_1734 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 difference-of-sqr-1_binary64_1753 sqrt-unprod_binary64_1803 distribute-lft-out--_binary64_1735 *-commutative_binary64_1714 sum-log_binary64_1874
Counts
2 → 54
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
3.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
0.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))

series74.0ms (2.5%)

Counts
2 → 12
Calls

2 calls:

40.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
34.0ms
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1))))
Compiler

Compiled 171 to 153 computations (10.5% saved)

simplify63.0ms (2.1%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049111167
149111167

prune65.0ms (2.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done000
Total66167
Error
0b
Counts
67 → 1
Compiler

Compiled 1149 to 864 computations (24.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04351
14351

regimes70.0ms (2.4%)

Compiler

Compiled 202 to 176 computations (12.9% saved)

bsearch0.0ms (0%)

regimes65.0ms (2.2%)

Compiler

Compiled 166 to 146 computations (12% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.3%)

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

Accuracy

Total 0.0b remaining (15.5%)

Threshold costs 0.0b (15.5%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 25 to 21 computations (16% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03538
13538

end0.0ms (0%)

sample1.8s (61.4%)

Algorithm
intervals
Results
645.0ms4031×body2048nan
350.0ms8000×body128valid
251.0ms2004×body1024nan
95.0ms985×body512nan
33.0ms485×body256nan
17.0ms522×body128nan
1.0msbody4096nan
Compiler

Compiled 71 to 62 computations (12.7% saved)

Pareto

0.6618261528888909

Profiling

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