Details

Time bar (total: 1.9s)

analyze52.0ms (2.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
62.3%59.3%35.9%0.1%4.7%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
79.1%72.6%19.1%0.1%8.2%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
89%79.8%9.9%0.1%10.2%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample733.0ms (37.7%)

Results
675.0ms8256×body256valid
15.0ms192×body256infinite
Bogosity

preprocess61.0ms (3.1%)

Algorithm
2×egg-herbie
Rules
928×fma-def
606×associate--r+
570×associate-+r+
476×associate-+l-
430×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
12538
24830
311030
424830
557330
6140030
7278130
8307630
9309430
10309430
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(fma.f64 (+.f64 1 y) x (neg.f64 y))
(fma.f64 x (+.f64 1 y) (neg.f64 y))
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x -1) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify39.0ms (2%)

Algorithm
1×egg-herbie
Rules
520×fma-def
306×associate-+l+
298×associate--r+
272×associate-+l-
232×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819
11719
23015
36815
413615
530015
660315
7130415
8183915
9189015
10189915
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))

eval1.0ms (0%)

Compiler

Compiled 21 to 10 computations (52.4% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(fma.f64 x y (-.f64 y x))
▶0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 17 to 10 computations (41.2% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
✓0.0b
(*.f64 (+.f64 x 1) y)
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (+.f64 x 1) y)
0.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0ms
x
@0
(*.f64 (+.f64 x 1) y)
0.0ms
y
@inf
(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0ms
y
@inf
(*.f64 (+.f64 x 1) y)

rewrite82.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1912×add-sqr-sqrt
1896×*-un-lft-identity
1768×add-cube-cbrt
1752×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117432
2233232
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) y)
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (+.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (+.f64 x 1) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x 1) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 2) (cbrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))))))

simplify51.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1116×fma-def
932×distribute-lft-in
876×distribute-rgt-in
634×unswap-sqr
498×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571960
13751872
216031864
Stop Event
1×node limit
Counts
108 → 90
Calls
Call 1
Inputs
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(*.f64 (+.f64 1 x) y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 x y) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) y))) 1)
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(pow.f64 (*.f64 (+.f64 x 1) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 x 1) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) y))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) y)))
(+.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x))
(+.f64 (*.f64 (+.f64 x 1) y) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (*.f64 (+.f64 x 1) y))
(*.f64 1 (-.f64 (*.f64 (+.f64 x 1) y) x))
(*.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 1 (*.f64 (+.f64 x 1) y) (neg.f64 x))
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(fma.f64 y (+.f64 x 1) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 2) (cbrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))
Outputs
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 1 x) y) (*.f64 -1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 x y) y)
(fma.f64 y x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) y))) 1)
(fma.f64 y x y)
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) y))
(*.f64 (/.f64 y (+.f64 x -1)) (fma.f64 x x -1))
(*.f64 y (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 y (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) y))
(*.f64 (/.f64 y (+.f64 x -1)) (fma.f64 x x -1))
(*.f64 y (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 y (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(pow.f64 (*.f64 (+.f64 x 1) y) 1)
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) 2)
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 3)
(fma.f64 y x y)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) 1/3)
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2))
(fma.f64 y x y)
(log.f64 (exp.f64 (*.f64 (+.f64 x 1) y)))
(fma.f64 y x y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) y))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(*.f64 y (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(*.f64 y (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) y)))
(fma.f64 y x y)
(+.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 (+.f64 x 1) y) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(+.f64 (neg.f64 x) (*.f64 (+.f64 x 1) y))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 1 (-.f64 (*.f64 (+.f64 x 1) y) x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2) (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 y x y) (+.f64 y (fma.f64 y x x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 y x y))) (-.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 y x y) (+.f64 y (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 y x y) (+.f64 y (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x 1) y) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 y x y) (+.f64 y (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 x (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 y x y) (+.f64 y (fma.f64 y x x)))))
(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 1)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 2)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 3)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3) 1/3)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 2))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(log.f64 (exp.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)) 1))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 1 (*.f64 (+.f64 x 1) y) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y (+.f64 x 1) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x 1) y)) (sqrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) y)) 2) (cbrt.f64 (*.f64 (+.f64 x 1) y)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)

localize5.0ms (0.3%)

Compiler

Compiled 13 to 4 computations (69.2% saved)

eval21.0ms (1.1%)

Compiler

Compiled 1146 to 659 computations (42.5% saved)

prune13.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86490
Fresh000
Picked101
Done011
Total87592
Error
0b
Counts
92 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
▶24.1b
(-.f64 (*.f64 y x) x)
▶8.5b
(-.f64 y x)
▶24.1b
(*.f64 (-.f64 y 1) x)
▶32.4b
(neg.f64 x)
Compiler

Compiled 32 to 21 computations (34.4% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 y 1) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (-.f64 y 1) x)
0.0ms
x
@0
(*.f64 (-.f64 y 1) x)
0.0ms
x
@inf
(*.f64 (-.f64 y 1) x)
0.0ms
y
@-inf
(*.f64 (-.f64 y 1) x)
0.0ms
y
@0
(*.f64 (-.f64 y 1) x)

rewrite76.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1412×add-sqr-sqrt
1396×*-un-lft-identity
1302×add-cube-cbrt
1286×add-cbrt-cube
1274×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114413
2178513
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y 1) x)))))))

simplify91.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1036×*-commutative
888×fma-def
700×associate-*r*
608×associate-*l*
590×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055422
1131422
2407422
32423422
44996422
Stop Event
1×node limit
Counts
30 → 28
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 x y) (*.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 (-.f64 y 1) x)) 1)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(pow.f64 (*.f64 (-.f64 y 1) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y 1) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y 1)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y 1) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 y 1) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y 1) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y 1) x)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 x y) (*.f64 x -1))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 1 (*.f64 (-.f64 y 1) x)) 1)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 (-.f64 y 1) x) 1)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y 1) x)) 2)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y 1) x)) 3)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3) 1/3)
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 2))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y 1)))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y 1) x) 3))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y 1) x)))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (*.f64 (-.f64 y 1) x)))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y 1) x)) 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y 1) x)))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite142.0ms (7.3%)

Algorithm
1×batch-egg-rewrite
Rules
1486×add-sqr-sqrt
1470×*-un-lft-identity
1372×add-cube-cbrt
1358×add-cbrt-cube
1346×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2180213
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))))))

simplify62.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1248×associate-+l+
776×associate-/l/
740×associate-*r/
702×fma-def
610×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01101273
12821193
211861193
344841193
Stop Event
1×node limit
Counts
63 → 55
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (-.f64 y 1))
(*.f64 (-.f64 (*.f64 y x) x) 1)
(*.f64 1 (-.f64 (*.f64 y x) x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (neg.f64 x) (*.f64 y x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 (*.f64 y x) x) 1)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 1 (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x)))))
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 y x (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))

eval14.0ms (0.7%)

Compiler

Compiled 865 to 378 computations (56.3% saved)

prune12.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New82183
Fresh000
Picked011
Done044
Total82688
Error
0b
Counts
88 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
✓24.1b
(-.f64 (*.f64 y x) x)
✓8.5b
(-.f64 y x)
✓24.1b
(*.f64 (-.f64 y 1) x)
▶54.2b
(*.f64 y x)
✓32.4b
(neg.f64 x)
Compiler

Compiled 37 to 24 computations (35.1% saved)

localize5.0ms (0.2%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
✓24.1b
(-.f64 (*.f64 y x) x)
✓8.5b
(-.f64 y x)
✓24.1b
(*.f64 (-.f64 y 1) x)
✓54.2b
(*.f64 y x)
✓32.4b
(neg.f64 x)
Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes16.0ms (0.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 x y (-.f64 y x))
Outputs
(fma.f64 x y (-.f64 y x))
Calls

3 calls:

5.0ms
y
5.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
5.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 48 to 24 computations (50% saved)

regimes16.0ms (0.8%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
Calls

3 calls:

5.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 42 to 23 computations (45.2% saved)

regimes21.0ms (1.1%)

Counts
5 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 y x) x)
Outputs
(*.f64 (-.f64 y 1) x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
Calls

2 calls:

16.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
0.5b3x
8.5b1y
Compiler

Compiled 26 to 13 computations (50% saved)

bsearch27.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
13.0ms
7.066159402457217e-14
1.489292367375369e-9
14.0ms
-1.1786325512709749e+20
-98007514968.43808
Results
23.0ms272×body256valid
Compiler

Compiled 252 to 172 computations (31.7% saved)

regimes18.0ms (0.9%)

Counts
4 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
Outputs
(*.f64 (-.f64 y 1) x)
(-.f64 y x)
(*.f64 (-.f64 y 1) x)
Calls

2 calls:

10.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
0.5b3x
8.5b1y
Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch27.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
13.0ms
7.066159402457217e-14
1.489292367375369e-9
14.0ms
-1.1786325512709749e+20
-98007514968.43808
Results
24.0ms272×body256valid
0.0ms4×body256infinite
Compiler

Compiled 252 to 180 computations (28.6% saved)

regimes8.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
(-.f64 y x)
Outputs
(-.f64 y x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
8.5b1x
8.5b1y
Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes11.0ms (0.6%)

Accuracy

Total -37.0b remaining (-148.7%)

Threshold costs -37.0b (-148.7%)

Counts
2 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 y x)
Outputs
(*.f64 y x)
(neg.f64 x)
(*.f64 y x)
Calls

2 calls:

8.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
32.4b1x
24.9b3y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch26.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
0.0006892368638949664
5.352640322704458
12.0ms
-2.39797551990796
-0.0025199571054063726
Results
24.0ms256×body256valid
Compiler

Compiled 190 to 138 computations (27.4% saved)

simplify8.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
10×sub-neg
8×*-commutative
4×if-if-or-not
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033179
154179
260179
361179
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -100000000000) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7011769753764849/4835703278458516698824704) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x -100000000000) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7011769753764849/4835703278458516698824704) (-.f64 y x) (*.f64 (-.f64 y 1) x)))
(-.f64 y x)
(if (<=.f64 y -1) (*.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (*.f64 y x)))
(neg.f64 x)
Outputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 y (+.f64 x 1)) x)
(if (<=.f64 x -100000000000) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7011769753764849/4835703278458516698824704) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x -100000000000) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 7011769753764849/4835703278458516698824704) (-.f64 y x) (-.f64 (*.f64 x y) x)))
(if (<=.f64 x -100000000000) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7011769753764849/4835703278458516698824704) (-.f64 y x) (*.f64 (-.f64 y 1) x)))
(if (or (<=.f64 x -100000000000) (not (<=.f64 x 7011769753764849/4835703278458516698824704))) (*.f64 x (+.f64 y -1)) (-.f64 y x))
(-.f64 y x)
(if (<=.f64 y -1) (*.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (*.f64 y x)))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (*.f64 x y)))
(neg.f64 x)
Compiler

Compiled 86 to 53 computations (38.4% saved)

soundness163.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
520×fma-def
306×associate-+l+
298×associate--r+
272×associate-+l-
232×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819
11719
23015
36815
413615
530015
660315
7130415
8183915
9189015
10189915
Stop Event
1×saturated
Compiler

Compiled 132 to 69 computations (47.7% saved)

end110.0ms (5.6%)

Compiler

Compiled 74 to 36 computations (51.4% saved)

Profiling

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