Details

Time bar (total: 3.3s)

analyze126.0ms (3.8%)

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
40.6%59.3%0.1%6
53.1%45.3%1.7%7
64%31.2%4.8%8
70.2%21.9%7.9%9
75.7%15.2%9.1%10
78.8%10.5%10.6%11
81.6%7.5%10.9%12
83.1%5.2%11.7%13
84.5%3.7%11.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample21.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify170.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
04510
14510

prune3.0ms (0.1%)

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 14 to 10 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1822
add-cbrt-cube_binary64_1819 +-commutative_binary64_1713 add-sqr-sqrt_binary64_1805 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 flip-+_binary64_1757 *-un-lft-identity_binary64_1783 sum-log_binary64_1874 flip3-+_binary64_1786 pow1_binary64_1844
Counts
1 → 11
Calls

1 calls:

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

series39.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(+.f64 (*.f64 x y) x)

simplify110.0ms (3.3%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
05055154

prune18.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2
Compiler

Compiled 177 to 66 computations (62.7% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)
2.2b
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
10.0b
(*.f64 x (*.f64 y y))
26.7b
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))

rewrite78.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821
15×add-sqr-sqrt_binary64_1805
12×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
cancel-sign-sub-inv_binary64_1749
associate-*l*_binary64_1724 add-log-exp_binary64_1822
cbrt-unprod_binary64_1816 prod-exp_binary64_1832
flip3--_binary64_1787 associate-*r/_binary64_1725 distribute-lft-in_binary64_1732 distribute-rgt-in_binary64_1733 pow-prod-down_binary64_1854 flip--_binary64_1758 associate-*r*_binary64_1723
associate-/r*_binary64_1727 times-frac_binary64_1789 sub-neg_binary64_1776
associate-/l/_binary64_1730 associate-/r/_binary64_1729 cbrt-undiv_binary64_1817 *-commutative_binary64_1714 div-exp_binary64_1834 unswap-sqr_binary64_1751
associate-/l*_binary64_1728 div-inv_binary64_1780 diff-log_binary64_1875 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 86
Calls

4 calls:

25.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))
18.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
11.0ms
(*.f64 x (*.f64 y y))
8.0ms
(-.f64 (*.f64 x y) x)

series388.0ms (11.6%)

Counts
4 → 12
Calls

4 calls:

193.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (-.f64 (*.f64 x y) x))
106.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
47.0ms
(-.f64 (*.f64 x y) x)
41.0ms
(*.f64 x (*.f64 y y))

simplify118.0ms (3.5%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
049841395
149841395

prune133.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh000
Picked011
Done011
Total973100

Merged error: 0b

Counts
100 → 3
Compiler

Compiled 2079 to 429 computations (79.4% saved)

localize29.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.1b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x)))
1.4b
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))
10.0b
(*.f64 x (*.f64 y y))
26.7b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))) (-.f64 (*.f64 x y) x))

rewrite132.0ms (4%)

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64_1821
28×add-cbrt-cube_binary64_1819
23×pow1_binary64_1844
20×cbrt-unprod_binary64_1816 prod-exp_binary64_1832
15×add-sqr-sqrt_binary64_1805
12×pow-prod-down_binary64_1854
10×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
associate-*r*_binary64_1723
associate-*l*_binary64_1724
associate-*l/_binary64_1726
cbrt-undiv_binary64_1817 div-exp_binary64_1834
flip3--_binary64_1787 associate-*r/_binary64_1725 cbrt-prod_binary64_1814 flip--_binary64_1758 add-log-exp_binary64_1822
associate-/r*_binary64_1727 times-frac_binary64_1789 *-commutative_binary64_1714 unswap-sqr_binary64_1751
associate-/l/_binary64_1730 associate-/r/_binary64_1729
associate-/l*_binary64_1728 div-inv_binary64_1780 frac-2neg_binary64_1794 clear-num_binary64_1782
Counts
4 → 98
Calls

4 calls:

42.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))) (-.f64 (*.f64 x y) x))
35.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x)))
22.0ms
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))
12.0ms
(*.f64 x (*.f64 y y))

series751.0ms (22.5%)

Counts
4 → 12
Calls

4 calls:

297.0ms
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))
238.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x))) (-.f64 (*.f64 x y) x))
173.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (cbrt.f64 x)))
43.0ms
(*.f64 x (*.f64 y y))

simplify172.0ms (5.2%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
049501910
149501910

prune164.0ms (4.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done022
Total1103113

Merged error: 0b

Counts
113 → 3
Compiler

Compiled 2820 to 529 computations (81.2% saved)

regimes69.0ms (2.1%)

Compiler

Compiled 237 to 138 computations (41.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample776.0ms (23.3%)

Algorithm
intervals
Results
343.0ms7998×body128valid
3.0ms67×body128invalid
0.0msbody1024valid
Compiler

Compiled 88 to 53 computations (39.8% saved)

Profiling

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