Details

Time bar (total: 3.0s)

analyze62.0ms (2.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify190.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
016510
116510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 x y))
0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1821
pow1_binary64_1860 add-cube-cbrt_binary64_1834 add-log-exp_binary64_1838 add-cbrt-cube_binary64_1835 *-un-lft-identity_binary64_1799 add-exp-log_binary64_1837
sub-neg_binary64_1792 associate-*l*_binary64_1740 cancel-sign-sub-inv_binary64_1765 associate-*r*_binary64_1739
distribute-rgt-in_binary64_1749 distribute-lft-in_binary64_1748 associate-*r/_binary64_1741 flip--_binary64_1774 flip3--_binary64_1803
prod-exp_binary64_1848 unswap-sqr_binary64_1767 diff-log_binary64_1891 cbrt-unprod_binary64_1832 *-commutative_binary64_1730 pow-prod-down_binary64_1870
Counts
2 → 36
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
3.0ms
(-.f64 1 (*.f64 x y))

series106.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
41.0ms
(-.f64 1 (*.f64 x y))

simplify75.0ms (2.5%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04836491
14836491

prune95.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New35742
Fresh000
Picked101
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7
Compiler

Compiled 1447 to 916 computations (36.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
0.1b
(*.f64 x (neg.f64 (*.f64 x y)))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1821 associate-*r*_binary64_1739
pow1_binary64_1860 add-cube-cbrt_binary64_1834 add-log-exp_binary64_1838 add-cbrt-cube_binary64_1835 *-un-lft-identity_binary64_1799 add-exp-log_binary64_1837
associate-*l*_binary64_1740
distribute-rgt-neg-out_binary64_1759
sum-log_binary64_1890 +-commutative_binary64_1729 prod-exp_binary64_1848 unswap-sqr_binary64_1767 distribute-lft-neg-in_binary64_1756 cbrt-unprod_binary64_1832 unsub-neg_binary64_1793 *-commutative_binary64_1730 neg-mul-1_binary64_1795 pow-prod-down_binary64_1870 flip3-+_binary64_1802 distribute-rgt-neg-in_binary64_1757 flip-+_binary64_1773
Counts
2 → 34
Calls

2 calls:

6.0ms
(*.f64 x (neg.f64 (*.f64 x y)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))

series90.0ms (3%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
33.0ms
(*.f64 x (neg.f64 (*.f64 x y)))

simplify87.0ms (2.9%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04873463
14873463

prune70.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh426
Picked011
Done000
Total41647

Merged error: 0.0b

Counts
47 → 6
Compiler

Compiled 1158 to 547 computations (52.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))) (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))))
18.0b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
18.0b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
18.0b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))

rewrite23.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_1860
10×add-sqr-sqrt_binary64_1821
pow1/3_binary64_1881
add-cube-cbrt_binary64_1834 *-un-lft-identity_binary64_1799
cbrt-prod_binary64_1830
add-exp-log_binary64_1837
add-log-exp_binary64_1838 associate-*l*_binary64_1740 add-cbrt-cube_binary64_1835 swap-sqr_binary64_1766 associate-*r*_binary64_1739
pow-sqr_binary64_1772 pow-prod-up_binary64_1869 pow-prod-down_binary64_1870
pow2_binary64_1880 prod-exp_binary64_1848 unswap-sqr_binary64_1767 cbrt-unprod_binary64_1832 *-commutative_binary64_1730 pow-plus_binary64_1862
Counts
4 → 58
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))) (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))

series637.0ms (21.4%)

Counts
4 → 12
Calls

4 calls:

187.0ms
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))) (cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y)))))
161.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
146.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
142.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))

simplify86.0ms (2.9%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04865893
14865893

prune85.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh044
Picked101
Done011
Total70676

Merged error: 0.0b

Counts
76 → 6
Compiler

Compiled 2135 to 555 computations (74% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
7.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
18.0b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
18.0b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod_binary64_1830
add-sqr-sqrt_binary64_1821 add-cube-cbrt_binary64_1834 *-un-lft-identity_binary64_1799
pow1_binary64_1860 add-log-exp_binary64_1838 pow1/3_binary64_1881 add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
distribute-lft-neg-in_binary64_1756 neg-mul-1_binary64_1795 distribute-rgt-neg-in_binary64_1757
Counts
4 → 43
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
2.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
1.0ms
(cbrt.f64 x)

series620.0ms (20.9%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(cbrt.f64 x)
165.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))
149.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
136.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 x y))))

simplify94.0ms (3.2%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
05438590

prune52.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done011
Total55661

Merged error: 0.0b

Counts
61 → 6
Compiler

Compiled 1630 to 309 computations (81% saved)

regimes46.0ms (1.5%)

Compiler

Compiled 288 to 197 computations (31.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04410
14410

end0.0ms (0%)

sample463.0ms (15.6%)

Algorithm
intervals
Results
197.0ms8000×body128valid
2.0ms84×body128invalid
Compiler

Compiled 105 to 73 computations (30.5% saved)

Profiling

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