Details

Time bar (total: 4.0s)

analyze77.0ms (1.9%)

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)

sample28.0ms (0.7%)

Algorithm
intervals
Results
16.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify214.0ms (5.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
016510
116510

prune4.0ms (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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.2%)

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)))

series82.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

82.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))

simplify65.0ms (1.6%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05012328

prune44.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New21627
Fresh000
Picked101
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6
Compiler

Compiled 404 to 216 computations (46.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
0.2b
(*.f64 x (neg.f64 (*.f64 x y)))

rewrite14.0ms (0.3%)

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:

8.0ms
(*.f64 x (neg.f64 (*.f64 x y)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))

series97.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

63.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 x y))))
33.0ms
(*.f64 x (neg.f64 (*.f64 x y)))

simplify134.0ms (3.4%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (117.0ms)

IterNodesCost
04873463
14873463

prune33.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh235
Picked011
Done000
Total39746

Merged error: 0.0b

Counts
46 → 7
Compiler

Compiled 556 to 177 computations (68.2% saved)

localize9.0ms (0.2%)

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))))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))

rewrite25.0ms (0.6%)

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:

10.0ms
(*.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)))

series803.0ms (20.2%)

Counts
4 → 12
Calls

4 calls:

244.0ms
(*.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
207.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
181.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
170.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))

simplify215.0ms (5.4%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (178.0ms)

IterNodesCost
050781332

prune97.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh055
Picked011
Done011
Total1028110

Merged error: 0.0b

Counts
110 → 8
Compiler

Compiled 2555 to 645 computations (74.8% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))
9.5b
(cbrt.f64 (neg.f64 (*.f64 x y)))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64_1814
add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 distribute-lft-neg-in_binary64_1740 pow1/3_binary64_1865 neg-mul-1_binary64_1779 add-log-exp_binary64_1822 distribute-rgt-neg-in_binary64_1741 pow1_binary64_1844
Counts
4 → 56
Calls

4 calls:

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

series778.0ms (19.5%)

Counts
4 → 12
Calls

4 calls:

248.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
237.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
152.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))
141.0ms
(cbrt.f64 (neg.f64 (*.f64 x y)))

simplify154.0ms (3.9%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
04731780
14731780

prune97.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done022
Total68876

Merged error: 0.0b

Counts
76 → 8
Compiler

Compiled 2372 to 538 computations (77.3% saved)

regimes123.0ms (3.1%)

Compiler

Compiled 998 to 667 computations (33.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04410
14410

end0.0ms (0%)

sample826.0ms (20.7%)

Algorithm
intervals
Results
250.0ms8000×body128valid
3.0ms94×body128invalid
Compiler

Compiled 317 to 211 computations (33.4% saved)

Profiling

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