Details

Time bar (total: 2.3s)

analyze54.0ms (2.3%)

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)

sample17.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify101.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
018410
118410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1805
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 associate-*l*_binary64_1724 *-un-lft-identity_binary64_1783 associate-*r*_binary64_1723 pow1_binary64_1844
associate-*r/_binary64_1725 distribute-lft-in_binary64_1732 cancel-sign-sub-inv_binary64_1749 distribute-rgt-in_binary64_1733 sub-neg_binary64_1776
flip3--_binary64_1787 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 *-commutative_binary64_1714 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751 flip--_binary64_1758 add-log-exp_binary64_1822
Counts
1 → 24
Calls

1 calls:

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

series31.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))

simplify62.0ms (2.7%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05098328

prune30.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New21627
Fresh000
Picked101
Done000
Total22628
Error
0.0b
Counts
28 → 6
Compiler

Compiled 405 to 215 computations (46.9% saved)

localize5.0ms (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)))

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1805 associate-*r*_binary64_1723
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783 add-log-exp_binary64_1822 pow1_binary64_1844
associate-*l*_binary64_1724
distribute-rgt-neg-out_binary64_1743
unsub-neg_binary64_1777 +-commutative_binary64_1713 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 flip-+_binary64_1757 distribute-lft-neg-in_binary64_1740 *-commutative_binary64_1714 sum-log_binary64_1874 flip3-+_binary64_1786 neg-mul-1_binary64_1779 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751 distribute-rgt-neg-in_binary64_1741
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 x y)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))

series46.0ms (2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
19.0ms
(*.f64 x (neg.f64 (*.f64 x y)))

simplify70.0ms (3%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04903463
14903463

prune30.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh325
Picked011
Done000
Total40646
Error
0.0b
Counts
46 → 6
Compiler

Compiled 542 to 163 computations (69.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
12.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
12.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
12.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))

rewrite25.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod_binary64_1814
23×add-sqr-sqrt_binary64_1805
15×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
swap-sqr_binary64_1750 associate-*l*_binary64_1724 pow1/3_binary64_1865 associate-*r*_binary64_1723
distribute-lft-neg-in_binary64_1740 neg-mul-1_binary64_1779 distribute-rgt-neg-in_binary64_1741
add-exp-log_binary64_1821
add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751 add-log-exp_binary64_1822
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 → 91
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
2.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
2.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
2.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))

series369.0ms (15.8%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(*.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
88.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
87.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
75.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))

simplify93.0ms (4%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049191332
149191332

prune92.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done011
Total1036109
Error
0.0b
Counts
109 → 6
Compiler

Compiled 2510 to 618 computations (75.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_1814
23×add-sqr-sqrt_binary64_1805
15×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
pow1/3_binary64_1865
swap-sqr_binary64_1750 add-exp-log_binary64_1821 associate-*l*_binary64_1724 associate-*r*_binary64_1723
add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751 add-log-exp_binary64_1822
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 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series361.0ms (15.4%)

Counts
4 → 12
Calls

4 calls:

101.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
90.0ms
(cbrt.f64 x)
89.0ms
(cbrt.f64 x)
80.0ms
(cbrt.f64 x)

simplify63.0ms (2.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04892563
14892563

prune62.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh033
Picked011
Done022
Total84791
Error
0b
Counts
91 → 7
Compiler

Compiled 1414 to 572 computations (59.5% saved)

regimes119.0ms (5.1%)

Accuracy

Total 0.1b remaining (90.3%)

Threshold costs 0.1b (90.3%)

Compiler

Compiled 1018 to 685 computations (32.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04410
14410

end0.0ms (0%)

sample654.0ms (27.9%)

Algorithm
intervals
Results
186.0ms8000×body128valid
2.0ms74×body128invalid
Compiler

Compiled 327 to 220 computations (32.7% saved)

Profiling

Loading profile data...