Details

Time bar (total: 1.9s)

analyze98.0ms (5.1%)

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%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample754.0ms (39%)

Results
739.0ms8256×body128valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess17.0ms (0.9%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11920
22720
33320
43520
022
Stop Event
saturated
saturated
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21710
32010
42110
Stop Event
saturated
Counts
1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))
9.1b
(/.f64 (*.f64 x y) (+.f64 y 1))
Compiler

Compiled 52 to 34 computations (34.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (+.f64 y 1))
0.0b
(*.f64 x (/.f64 y (+.f64 y 1)))

series13.0ms (0.7%)

Counts
2 → 36
Calls

9 calls:

3.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
y
-inf
2.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
x
-inf
2.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
x
0
2.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
x
inf
1.0ms
(*.f64 x (/.f64 y (+.f64 y 1)))
y
0

rewrite43.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
765×log1p-expm1-u_binary64
765×expm1-log1p-u_binary64
90×prod-diff_binary64
75×add-sqr-sqrt_binary64
70×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2203717
Stop Event
node limit
Counts
2 → 59

simplify44.0ms (2.3%)

Algorithm
egg-herbie
Rules
554×fma-def_binary64
393×sub-neg_binary64
310×fma-neg_binary64
302×cancel-sign-sub-inv_binary64
269×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042414
1120404
2345394
31043394
44287394
Stop Event
node limit
Counts
95 → 88

prune68.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh101
Picked101
Done000
Total88290
Error
0b
Counts
90 → 2
Alt Table
StatusErrorProgram
35.2b
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
Compiler

Compiled 1026 to 608 computations (40.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 y 1) y)
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))

series11.0ms (0.6%)

Counts
2 → 36
Calls

9 calls:

2.0ms
(/.f64 x (/.f64 (+.f64 y 1) y))
x
-inf
2.0ms
(/.f64 x (/.f64 (+.f64 y 1) y))
x
0
2.0ms
(/.f64 x (/.f64 (+.f64 y 1) y))
x
inf
1.0ms
(/.f64 x (/.f64 (+.f64 y 1) y))
y
0
1.0ms
(/.f64 x (/.f64 (+.f64 y 1) y))
y
-inf

rewrite53.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
117×prod-diff_binary64
79×add-sqr-sqrt_binary64
76×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2229117
Stop Event
node limit
Counts
2 → 76

simplify36.0ms (1.9%)

Algorithm
egg-herbie
Rules
415×fma-def_binary64
287×distribute-rgt-neg-in_binary64
255×distribute-lft-neg-in_binary64
253×fma-neg_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032345
190337
2250332
3786332
43304332
Stop Event
node limit
Counts
112 → 94

prune69.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done000
Total94296
Error
0b
Counts
96 → 2
Alt Table
StatusErrorProgram
35.2b
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
Compiler

Compiled 1141 to 717 computations (37.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.4b
(*.f64 (pow.f64 y 4) x)
7.0b
(*.f64 (pow.f64 y 3) x)
7.4b
(*.f64 (pow.f64 y 2) x)
8.8b
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))

series54.0ms (2.8%)

Counts
4 → 21
Calls

24 calls:

8.0ms
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
0
6.0ms
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
-inf
6.0ms
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
x
inf
5.0ms
(*.f64 (pow.f64 y 3) x)
x
inf
3.0ms
(*.f64 (pow.f64 y 4) x)
x
-inf

rewrite47.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
172×log1p-expm1-u_binary64
172×expm1-log1p-u_binary64
168×add-sqr-sqrt_binary64
167×add-cbrt-cube_binary64
161×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01646
137341
Stop Event
node limit
Counts
4 → 104

simplify42.0ms (2.2%)

Algorithm
egg-herbie
Rules
370×fma-neg_binary64
358×associate-*l*_binary64
345×cancel-sign-sub-inv_binary64
282×associate-*r*_binary64
222×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029385
1102348
2318310
31102310
44238310
Stop Event
node limit
Counts
125 → 118

prune97.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done011
Total1182120
Error
0b
Counts
120 → 2
Alt Table
StatusErrorProgram
35.2b
(-.f64 (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (*.f64 (pow.f64 y 4) x)))
0.1b
(/.f64 x (/.f64 (+.f64 y 1) y))
Compiler

Compiled 3400 to 2016 computations (40.7% saved)

regimes405.0ms (21%)

Accuracy

Total 0.0b remaining (36.2%)

Threshold costs 0.0b (36.2%)

Counts
134 → 1
Compiler

Compiled 5646 to 3926 computations (30.5% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
unpow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11210
Stop Event
saturated

end45.0ms (2.3%)

Stop Event
done
Compiler

Compiled 50 to 33 computations (34% saved)

Profiling

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