Details

Time bar (total: 5.0s)

analyze117.0ms (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
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.5%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify176.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0491543
1491543

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
1.0b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite169.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
15×pow1_binary64_1844 add-exp-log_binary64_1821 add-sqr-sqrt_binary64_1805 *-un-lft-identity_binary64_1783
14×add-cbrt-cube_binary64_1819
10×add-cube-cbrt_binary64_1818 associate-*r*_binary64_1723
pow-prod-down_binary64_1854 prod-exp_binary64_1832 add-log-exp_binary64_1822 cbrt-unprod_binary64_1816 distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 cancel-sign-sub-inv_binary64_1749
associate-*r/_binary64_1725
unpow-prod-down_binary64_1862 pow-unpow_binary64_1860
unswap-sqr_binary64_1751 flip3-+_binary64_1786 flip-+_binary64_1757 associate-*l*_binary64_1724 *-commutative_binary64_1714 sub-neg_binary64_1776 difference-of-squares_binary64_1752 associate-+r+_binary64_1715
distribute-lft-out_binary64_1734 pow-pow_binary64_1855 pow-to-exp_binary64_1852 pow-exp_binary64_1851 unpow2_binary64_1848 sqr-pow_binary64_1755 flip3--_binary64_1787 flip--_binary64_1758 distribute-lft-out--_binary64_1735 sum-log_binary64_1874 +-commutative_binary64_1713
Counts
4 → 87
Calls

4 calls:

9.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
8.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series784.0ms (15.7%)

Error
0.0b
Counts
4 → 54
Calls

4 calls:

388.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
198.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
75.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
46.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify99.0ms (2%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049622518
149622518

prune195.0ms (3.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1392141
Fresh000
Picked101
Done000
Total1402142
Error
0.0b
Counts
142 → 2
Compiler

Compiled 4466 to 2341 computations (47.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(*.f64 a (*.f64 a (*.f64 b b)))
1.0b
(*.f64 a (*.f64 b b))
1.0b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite213.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×pow1_binary64_1844 add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
16×add-sqr-sqrt_binary64_1805
15×pow-prod-down_binary64_1854 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 *-un-lft-identity_binary64_1783
12×associate-*r*_binary64_1723
10×add-cube-cbrt_binary64_1818
associate-*l*_binary64_1724
cancel-sign-sub-inv_binary64_1749
distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732
add-log-exp_binary64_1822 associate-*r/_binary64_1725 *-commutative_binary64_1714
unswap-sqr_binary64_1751
sub-neg_binary64_1776 difference-of-squares_binary64_1752
flip3-+_binary64_1786 flip-+_binary64_1757 distribute-lft-out_binary64_1734 flip3--_binary64_1787 flip--_binary64_1758 distribute-lft-out--_binary64_1735
Counts
4 → 96
Calls

4 calls:

11.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
8.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
6.0ms
(*.f64 a (*.f64 b b))
Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series336.0ms (6.7%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

89.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
85.0ms
(*.f64 a (*.f64 a (*.f64 b b)))
64.0ms
(*.f64 a (*.f64 b b))
57.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify90.0ms (1.8%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049291229
149291229

prune204.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done000
Total1232125
Error
0.0b
Counts
125 → 2
Compiler

Compiled 4877 to 2749 computations (43.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (*.f64 b b))
0.0b
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4)))
0.0b
(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0b
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4))

rewrite182.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×add-exp-log_binary64_1821 add-sqr-sqrt_binary64_1805
16×add-cbrt-cube_binary64_1819 associate-*l*_binary64_1724
14×pow1_binary64_1844
12×*-un-lft-identity_binary64_1783 associate-*r/_binary64_1725
10×add-cube-cbrt_binary64_1818
prod-exp_binary64_1832
associate-*r*_binary64_1723
cbrt-unprod_binary64_1816 flip3-+_binary64_1786 flip-+_binary64_1757
pow-prod-down_binary64_1854 add-log-exp_binary64_1822 unswap-sqr_binary64_1751
distribute-rgt-in_binary64_1733 distribute-lft-in_binary64_1732 unpow-prod-down_binary64_1862 cube-prod_binary64_1811 frac-add_binary64_1791
*-commutative_binary64_1714
sqr-pow_binary64_1755 associate-+l+_binary64_1716 associate-+r+_binary64_1715
pow-to-exp_binary64_1852 pow-exp_binary64_1851 unpow3_binary64_1849 cube-mult_binary64_1813 distribute-lft-out_binary64_1734 sum-log_binary64_1874 +-commutative_binary64_1713
Counts
4 → 97
Calls

4 calls:

11.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4))
11.0ms
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4)))
9.0ms
(*.f64 (pow.f64 a 3) (+.f64 a -4))
6.0ms
(*.f64 2 (*.f64 b b))
Compiler

Compiled 3084 to 1971 computations (36.1% saved)

series570.0ms (11.4%)

Error
0.0b
Counts
4 → 33
Calls

4 calls:

307.0ms
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4)))
140.0ms
(*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4))
59.0ms
(*.f64 (pow.f64 a 3) (+.f64 a -4))
28.0ms
(*.f64 2 (*.f64 b b))
Compiler

Compiled 1722 to 1453 computations (15.6% saved)

simplify98.0ms (2%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049412309
149412309

prune151.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132
Error
0.0b
Counts
132 → 2
Compiler

Compiled 3286 to 2095 computations (36.2% saved)

regimes271.0ms (5.4%)

Accuracy

Total 0.0b remaining (67.1%)

Threshold costs 0.0b (67.1%)

Compiler

Compiled 3725 to 2648 computations (28.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05755
15755

end0.0ms (0%)

sample1.3s (25.4%)

Algorithm
intervals
Results
480.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 697 to 502 computations (28% saved)

Profiling

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