Details

Time bar (total: 1.4s)

analyze5.0ms (0.3%)

Algorithm
search
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 21 to 17 computations (19% saved)

sample23.0ms (1.6%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify270.0ms (19.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
0484328
1484328

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0b

Counts
2 → 1
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite53.0ms (3.8%)

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
22×associate-*r/_binary64_1725
18×flip3--_binary64_1787 sqrt-div_binary64_1800 flip--_binary64_1758
17×add-sqr-sqrt_binary64_1805
16×pow1_binary64_1844
12×*-un-lft-identity_binary64_1783 frac-times_binary64_1793
11×add-cube-cbrt_binary64_1818
10×cbrt-unprod_binary64_1816 prod-exp_binary64_1832 associate-*r*_binary64_1723
associate-*l*_binary64_1724
associate-/r/_binary64_1729
pow-prod-down_binary64_1854
associate-*l/_binary64_1726
sqrt-prod_binary64_1799 add-log-exp_binary64_1822
associate-/l*_binary64_1728 times-frac_binary64_1789 cbrt-undiv_binary64_1817 *-commutative_binary64_1714 div-exp_binary64_1834 unswap-sqr_binary64_1751
difference-of-squares_binary64_1752
div-inv_binary64_1780 associate-/r*_binary64_1727 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 108
Calls

4 calls:

13.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
7.0ms
(*.f64 (*.f64 v v) 6)

series222.0ms (15.8%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
55.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
51.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
17.0ms
(*.f64 (*.f64 v v) 6)

simplify59.0ms (4.2%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050013300

prune154.0ms (10.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done000
Total1201121

Merged error: 0b

Counts
121 → 1
Compiler

Compiled 3367 to 2269 computations (32.6% saved)

regimes33.0ms (2.3%)

Compiler

Compiled 236 to 186 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample572.0ms (40.6%)

Algorithm
intervals
Results
394.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 77 to 62 computations (19.5% saved)

Profiling

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