Details

Time bar (total: 1.6s)

analyze207.0ms (13.2%)

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
37.5%50%12.6%7
46.8%37.5%15.7%8
53.1%30.4%16.5%9
58.5%20.7%20.8%10
62%16.2%21.8%11
65%10.8%24.2%12
66.8%8.3%24.8%13
68.3%5.5%26.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample891.0ms (56.8%)

Results
856.0ms8256×body128valid
20.0ms241×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess36.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
513×fma-def_binary64
355×fma-neg_binary64
110×distribute-rgt-in_binary64
92×cancel-sign-sub-inv_binary64
84×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
13320
27120
316120
430720
551920
699920
7143820
8189220
9204220
10204420
11204420
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 2 (-.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 2 (*.f64 x (-.f64 x y)))
(*.f64 (*.f64 2 x) (-.f64 x y))
(*.f64 x (*.f64 2 (-.f64 x y)))
(*.f64 (*.f64 x -2) (-.f64 y x))
(*.f64 2 (-.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 2 (*.f64 y (-.f64 y x)))
(*.f64 (*.f64 2 y) (-.f64 y x))
(*.f64 y (*.f64 2 (-.f64 y x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify20.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
382×fma-def_binary64
286×fma-neg_binary64
71×associate-*l*_binary64
71×distribute-rgt-in_binary64
66×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11810
24310
310210
420710
529410
650210
787110
8125110
9144810
10149810
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 2 (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 (-.f64 x y) 2))
(*.f64 (-.f64 x y) (*.f64 2 x))
(*.f64 (*.f64 x -2) (-.f64 y x))

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 (*.f64 x -2) (-.f64 y x))
▶0.0b
(*.f64 2 (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x x) (*.f64 x y))

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite42.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
781×pow1_binary64
729×log1p-expm1-u_binary64
729×expm1-log1p-u_binary64
75×add-sqr-sqrt_binary64
73×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11437
220497
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2) (cbrt.f64 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x y) (*.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (*.f64 x y))) (-.f64 x (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x y) (*.f64 x (+.f64 x y)))) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x y) (*.f64 x (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x y) (*.f64 x (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2) (cbrt.f64 (*.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))))

simplify31.0ms (2%)

Algorithm
1×egg-herbie
Rules
554×associate-*r*_binary64
553×fma-neg_binary64
459×cancel-sign-sub-inv_binary64
416×unswap-sqr_binary64
329×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09246
120192
249156
398156
4241156
5762156
62485156
Stop Event
1×node limit
Counts
77 → 58
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))

prune43.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New56258
Fresh101
Picked101
Done000
Total58260
Error
0b
Counts
60 → 2
Alt Table
StatusErrorProgram
0.3b
(*.f64 2 (fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
▶0.0b
(*.f64 2 (fma.f64 x x (*.f64 y (neg.f64 x))))
Compiler

Compiled 970 to 379 computations (60.9% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite33.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
501×pow1_binary64
460×add-log-exp_binary64
459×log1p-expm1-u_binary64
459×expm1-log1p-u_binary64
450×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11238
215628
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 x y)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 x y))) (hypot.f64 x (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (fma.f64 x x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 x y))))))))

simplify27.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
554×associate-*r*_binary64
553×fma-neg_binary64
459×cancel-sign-sub-inv_binary64
416×unswap-sqr_binary64
329×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09246
120192
249156
398156
4241156
5762156
62485156
Stop Event
1×node limit
Counts
46 → 28
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))

prune14.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New28028
Fresh011
Picked011
Done000
Total28230
Error
0b
Counts
30 → 2
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 2 (fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
✓0.0b
(*.f64 2 (fma.f64 x x (*.f64 y (neg.f64 x))))
Compiler

Compiled 371 to 166 computations (55.3% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))
✓49.7b
(fma.f64 (neg.f64 y) x (*.f64 x y))

series8.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))
1.0ms
y
@inf
(fma.f64 (neg.f64 y) x (*.f64 x y))
1.0ms
y
@0
(fma.f64 (neg.f64 y) x (*.f64 x y))
1.0ms
x
@-inf
(fma.f64 (neg.f64 y) x (*.f64 x y))
1.0ms
x
@inf
(fma.f64 (neg.f64 y) x (*.f64 x y))

rewrite40.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
744×log1p-expm1-u_binary64
744×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
89×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
117321
2242321
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (*.f64 x y))
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2) (cbrt.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 y y))) (sqrt.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y x) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 y x)) 1) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (+.f64 y x)) (*.f64 y x)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) 2) (cbrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) (sqrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y x)) 3) (pow.f64 (*.f64 x (+.f64 y y)) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x))) (-.f64 (pow.f64 (*.f64 x (+.f64 y y)) 2) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y x))) (pow.f64 (*.f64 x (+.f64 y y)) 2)) (-.f64 (*.f64 x (+.f64 y x)) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y x) (*.f64 x (+.f64 y y)))))))))

simplify36.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
390×sub-neg_binary64
282×associate-*l*_binary64
257×associate--r+_binary64
234×distribute-neg-in_binary64
218×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033378
1103216
2286180
31186180
43988180
Stop Event
1×node limit
Counts
94 → 62
Calls
Call 1
Inputs
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 (+.f64 (*.f64 -2 y) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(pow.f64 x 2)
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(*.f64 (+.f64 (*.f64 -2 x) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
Outputs
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 (*.f64 -2 y) y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 (+.f64 (*.f64 -2 x) x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (pow.f64 x 2))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(*.f64 x (+.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))

prune30.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done011
Total62264
Error
0b
Counts
64 → 2
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 2 (fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
✓0.0b
(*.f64 2 (fma.f64 x x (*.f64 y (neg.f64 x))))
Compiler

Compiled 1024 to 393 computations (61.6% saved)

regimes35.0ms (2.2%)

Accuracy

Total 0.0b remaining (35.4%)

Threshold costs 0.0b (35.4%)

Counts
14 → 1
Compiler

Compiled 159 to 73 computations (54.1% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11613
22413
33013
43313
53413
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (fma.f64 x x (*.f64 y (neg.f64 x))))
Outputs
(*.f64 2 (fma.f64 x x (*.f64 y (neg.f64 x))))

end43.0ms (2.7%)

Stop Event
1×done
Compiler

Compiled 49 to 30 computations (38.8% saved)

Profiling

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