Details

Time bar (total: 2.5s)

analyze7.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample23.0ms (0.9%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify192.0ms (7.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01416
11416

prune9.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (+.f64 x 1))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite45.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_1783
20×times-frac_binary64_1789
12×distribute-lft-out_binary64_1734
11×add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 associate-/r*_binary64_1727 add-log-exp_binary64_1822
associate-/l*_binary64_1728
associate-/r/_binary64_1729 flip-+_binary64_1757 div-inv_binary64_1780 distribute-lft-out--_binary64_1735 flip3-+_binary64_1786 pow1_binary64_1844
+-commutative_binary64_1713 frac-add_binary64_1791 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 sum-log_binary64_1874 div-exp_binary64_1834 clear-num_binary64_1782
Counts
2 → 51
Calls

2 calls:

35.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms
(/.f64 x (+.f64 x 1))

series108.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

73.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
35.0ms
(/.f64 x (+.f64 x 1))

simplify90.0ms (3.5%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05366903

prune98.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0b

Counts
58 → 2
Compiler

Compiled 1010 to 734 computations (27.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))

rewrite263.0ms (10.3%)

Algorithm
rewrite-expression-head
Rules
309×*-un-lft-identity_binary64_1783
104×times-frac_binary64_1789
100×distribute-lft-out_binary64_1734
76×cbrt-prod_binary64_1814
30×swap-sqr_binary64_1750
26×distribute-lft-out--_binary64_1735
24×cbrt-div_binary64_1815
20×add-sqr-sqrt_binary64_1805
12×add-cube-cbrt_binary64_1818 associate-*l*_binary64_1724 associate-*r*_binary64_1723
11×frac-add_binary64_1791 flip-+_binary64_1757 div-inv_binary64_1780 flip3-+_binary64_1786 pow1_binary64_1844
10×add-log-exp_binary64_1822
frac-times_binary64_1793
add-exp-log_binary64_1821 pow1/3_binary64_1865
add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751
associate-*r/_binary64_1725 +-commutative_binary64_1713 associate-*l/_binary64_1726 sum-log_binary64_1874
pow-prod-up_binary64_1853 pow-sqr_binary64_1756 pow-prod-down_binary64_1854
cbrt-unprod_binary64_1816 prod-exp_binary64_1832 pow-plus_binary64_1846 *-commutative_binary64_1714 pow2_binary64_1864
Counts
4 → 145
Calls

4 calls:

94.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
45.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
44.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
33.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

series420.0ms (16.5%)

Counts
4 → 12
Calls

4 calls:

222.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
70.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
70.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
57.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

simplify134.0ms (5.3%)

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049334650
149334650

prune546.0ms (21.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1570157
Fresh000
Picked011
Done011
Total1572159

Merged error: 0b

Counts
159 → 2
Compiler

Compiled 6806 to 5301 computations (22.1% saved)

regimes26.0ms (1%)

Compiler

Compiled 176 to 142 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample562.0ms (22%)

Algorithm
intervals
Results
319.0ms8000×body128valid
Compiler

Compiled 99 to 81 computations (18.2% saved)

Profiling

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