Details

Time bar (total: 2.4s)

analyze441.0ms (18.6%)

Algorithm
1×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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample926.0ms (39%)

Results
767.0ms7947×body128valid
71.0ms684×body128invalid
47.0ms163×body1024valid
19.0ms88×body512valid
9.0ms58×body256valid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess20.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
82×fma-def_binary64
27×+-commutative_binary64
16×*-commutative_binary64
14×associate-+r+_binary64
14×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
15444
213744
320244
422844
523244
033
Stop Event
1×saturated
1×saturated
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
7×+-commutative_binary64
5×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12011
23711
35311
46311
56411
Stop Event
1×saturated
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 x y (*.f64 z (+.f64 x 5)))
0.1b
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))
Compiler

Compiled 66 to 42 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (*.f64 z (+.f64 x 5)))
✓0.0b
(*.f64 z (+.f64 x 5))

series13.0ms (0.6%)

Counts
2 → 60
Calls

15 calls:

2.0ms
(*.f64 z (+.f64 x 5))
z
0
1.0ms
(fma.f64 x y (*.f64 z (+.f64 x 5)))
z
-inf
1.0ms
(fma.f64 x y (*.f64 z (+.f64 x 5)))
y
-inf
1.0ms
(fma.f64 x y (*.f64 z (+.f64 x 5)))
x
-inf
1.0ms
(fma.f64 x y (*.f64 z (+.f64 x 5)))
y
inf

rewrite45.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
868×log1p-expm1-u_binary64
868×expm1-log1p-u_binary64
385×prod-diff_binary64
91×add-sqr-sqrt_binary64
85×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117618
2231418
Stop Event
1×node limit
Counts
2 → 50

simplify16.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
5×+-commutative_binary64
5×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014534
127507
239507
355507
Stop Event
1×saturated
Counts
110 → 61

prune60.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh101
Picked101
Done000
Total58563
Error
0.0b
Counts
63 → 5
Alt Table
StatusErrorProgram
9.2b
(fma.f64 x y (/.f64 (*.f64 (fma.f64 x x -25) z) (+.f64 x -5)))
12.7b
(fma.f64 x y (/.f64 (*.f64 (+.f64 125 (pow.f64 x 3)) z) (fma.f64 x x (-.f64 25 (*.f64 x 5)))))
▶0.1b
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
37.0b
(fma.f64 x y (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x 5) 3))))
0.9b
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
Compiler

Compiled 909 to 530 computations (41.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
✓0.0b
(fma.f64 z x (*.f64 z 5))

series12.0ms (0.5%)

Counts
2 → 60
Calls

15 calls:

1.0ms
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
x
-inf
1.0ms
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
x
inf
1.0ms
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
y
-inf
1.0ms
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
y
inf
1.0ms
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
z
-inf

rewrite37.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
699×log1p-expm1-u_binary64
699×expm1-log1p-u_binary64
210×prod-diff_binary64
146×log1p-udef_binary64
81×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116018
2187118
Stop Event
1×node limit
Counts
2 → 48

simplify16.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
5×+-commutative_binary64
5×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014534
127507
239507
355507
Stop Event
1×saturated
Counts
108 → 59

prune33.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done000
Total59564
Error
0.0b
Counts
64 → 5
Alt Table
StatusErrorProgram
9.2b
(fma.f64 x y (/.f64 (*.f64 (fma.f64 x x -25) z) (+.f64 x -5)))
12.7b
(fma.f64 x y (/.f64 (*.f64 (+.f64 125 (pow.f64 x 3)) z) (fma.f64 x x (-.f64 25 (*.f64 x 5)))))
✓0.1b
(fma.f64 x y (fma.f64 z x (*.f64 z 5)))
37.0b
(fma.f64 x y (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x 5) 3))))
▶0.9b
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
Compiler

Compiled 863 to 502 computations (41.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
0.0b
(*.f64 z (+.f64 x 5))
✓0.6b
(cbrt.f64 (*.f64 z (+.f64 x 5)))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3)

series147.0ms (6.2%)

Counts
3 → 29
Calls

21 calls:

20.0ms
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3)
x
0
20.0ms
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
x
0
17.0ms
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3)
z
-inf
12.0ms
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
y
-inf
12.0ms
(fma.f64 x y (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3))
y
0

rewrite56.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
481×prod-diff_binary64
190×expm1-udef_binary64
190×log1p-udef_binary64
177×fma-def_binary64
164×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
123827
2280827
Stop Event
1×node limit
Counts
3 → 121

simplify36.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
624×associate-*r*_binary64
604×associate-*l*_binary64
464×fma-def_binary64
192×cancel-sign-sub-inv_binary64
191×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093934
1296922
21010886
Stop Event
1×node limit
Counts
150 → 148

prune126.0ms (5.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1772179
Fresh213
Picked101
Done101
Total1813184
Error
0b
Counts
184 → 3
Alt Table
StatusErrorProgram
9.2b
(fma.f64 x y (/.f64 (*.f64 (fma.f64 x x -25) z) (+.f64 x -5)))
0.1b
(fma.f64 z (+.f64 5 x) (*.f64 x y))
▶0.0b
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
Compiler

Compiled 3413 to 2258 computations (33.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
✓0.1b
(fma.f64 z 5 (*.f64 z x))

series14.0ms (0.6%)

Counts
2 → 60
Calls

15 calls:

3.0ms
(fma.f64 z 5 (*.f64 z x))
z
inf
1.0ms
(fma.f64 z 5 (*.f64 z x))
z
-inf
1.0ms
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
x
-inf
1.0ms
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
z
-inf
1.0ms
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
y
inf

rewrite42.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
205×prod-diff_binary64
146×log1p-udef_binary64
81×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116018
2187318
Stop Event
1×node limit
Counts
2 → 48

simplify17.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
5×+-commutative_binary64
5×*-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014534
127507
239507
355507
Stop Event
1×saturated
Counts
108 → 59

prune33.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done000
Total59362
Error
0b
Counts
62 → 3
Alt Table
StatusErrorProgram
9.2b
(fma.f64 x y (/.f64 (*.f64 (fma.f64 x x -25) z) (+.f64 x -5)))
0.1b
(fma.f64 z (+.f64 5 x) (*.f64 x y))
✓0.0b
(fma.f64 x y (fma.f64 z 5 (*.f64 z x)))
Compiler

Compiled 754 to 433 computations (42.6% saved)

regimes190.0ms (8%)

Accuracy

Total 0.0b remaining (90.6%)

Threshold costs 0.0b (90.6%)

Counts
54 → 1
Compiler

Compiled 2864 to 1954 computations (31.8% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
Stop Event
1×saturated

end50.0ms (2.1%)

Stop Event
1×fuel
Compiler

Compiled 63 to 38 computations (39.7% saved)

Profiling

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