Details

Time bar (total: 1.1s)

analyze112.0ms (10.2%)

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
25%74.9%0.1%5
25%62.4%12.6%6
25%43.7%31.3%7
31.2%31.2%37.6%8
39%23.4%37.6%9
42.9%16.4%40.7%10
47.2%12.1%40.7%11
49.4%8.4%42.2%12
51.6%6.1%42.2%13
52.7%4.2%43%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample752.0ms (68.6%)

Results
726.0ms8256×body128valid
14.0ms124×body128invalid
Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess16.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
26×fma-def_binary64
10×+-commutative_binary64
6×associate-+r+_binary64
6×associate-+l+_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12822
26222
37622
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y (+.f64 2 y)))
(fma.f64 x x (*.f64 y (+.f64 2 y)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
6×+-commutative_binary64
3×associate-+r+_binary64
3×associate-+l+_binary64
2×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
11711
23411
34211
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
Compiler

Compiled 41 to 23 computations (43.9% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))

series3.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x (+.f64 x 2) (*.f64 y y))
1.0ms
y
@0
(fma.f64 x (+.f64 x 2) (*.f64 y y))
1.0ms
x
@-inf
(fma.f64 x (+.f64 x 2) (*.f64 y y))
0.0ms
x
@inf
(fma.f64 x (+.f64 x 2) (*.f64 y y))
0.0ms
y
@inf
(fma.f64 x (+.f64 x 2) (*.f64 y y))

rewrite34.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
742×pow1_binary64
689×log1p-expm1-u_binary64
689×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
74×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115011
2185711
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 x (+.f64 x 2) (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x 2)) 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (*.f64 y y) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (-.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1))))))

simplify59.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
632×sqr-pow_binary64
502×fma-def_binary64
422×associate-*l*_binary64
288×cube-prod_binary64
285×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010300
124214
254214
389214
4190214
5472214
61645214
72318214
82638214
92898214
103237214
113719214
124378214
Stop Event
1×node limit
Counts
47 → 33
Calls
Call 1
Inputs
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
Outputs
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 2 x))
(+.f64 (*.f64 y y) (*.f64 2 x))
(fma.f64 y y (*.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (*.f64 x x))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (*.f64 x x))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (*.f64 x x))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (+.f64 (pow.f64 x 2) (*.f64 2 x)))
(+.f64 (*.f64 y y) (+.f64 (*.f64 2 x) (*.f64 x x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))

prune17.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234
Error
0b
Counts
34 → 2
Alt Table
StatusErrorProgram
▶18.0b
(fma.f64 y y (*.f64 2 x))
✓0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
Compiler

Compiled 400 to 222 computations (44.5% saved)

localize5.0ms (0.5%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
✓18.0b
(fma.f64 y y (*.f64 2 x))
✓0.0b
(fma.f64 x (+.f64 x 2) (*.f64 y y))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes39.0ms (3.6%)

Accuracy

Total 0.0b remaining (26%)

Threshold costs 0.0b (26%)

Counts
10 → 1
Compiler

Compiled 100 to 58 computations (42% saved)

simplify5.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 x 2) (*.f64 y y))
Outputs
(fma.f64 x (+.f64 x 2) (*.f64 y y))

end39.0ms (3.6%)

Stop Event
1×done
Compiler

Compiled 38 to 23 computations (39.5% saved)

Profiling

Loading profile data...