Details

Time bar (total: 1.9s)

analyze59.0ms (3%)

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)

sample717.0ms (37.1%)

Results
691.0ms8256×body256valid
14.0ms183×body256infinite
Bogosity

preprocess61.0ms (3.2%)

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)

simplify40.0ms (2.1%)

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

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite62.0ms (3.2%)

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 (+.f64 x 1) y) x)
(*.f64 (+.f64 x 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 x 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 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))))))
((#(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 y (*.f64 x 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 y (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y))))))))

simplify51.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1182×distribute-lft-in
1138×fma-def
1084×distribute-rgt-in
630×unswap-sqr
484×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561960
13801872
216871864
Stop Event
1×node limit
Counts
108 → 89
Calls
Call 1
Inputs
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))
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)
(+.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))
(+.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (+.f64 y (*.f64 x y)))
(*.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))
(*.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)
(*.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(*.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x 1) y x)))
(*.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x 1) y x) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x)) (fma.f64 (+.f64 x 1) y x))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x 1) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x)))))
(pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 1 (+.f64 y (*.f64 x 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 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 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 y (*.f64 x 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 y (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 y (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y))))
Outputs
y
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.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)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (*.f64 (-.f64 y 1) x) y)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 y -1) x)
(-.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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.f64 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)
(fma.f64 y x (-.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 (*.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)
(+.f64 (+.f64 y (*.f64 x y)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (+.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (-.f64 (+.f64 y (*.f64 x y)) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(+.f64 (-.f64 (+.f64 y (*.f64 x 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)
(fma.f64 y x (-.f64 y x))
(+.f64 (-.f64 (+.f64 y (*.f64 x 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)
(fma.f64 y x (-.f64 y x))
(+.f64 (neg.f64 x) (+.f64 y (*.f64 x y)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 1 (-.f64 (+.f64 y (*.f64 x y)) x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2) (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(*.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 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 1 (+.f64 (fma.f64 y x y) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (fma.f64 x (neg.f64 x) (pow.f64 (fma.f64 y x y) 2)) (+.f64 y (fma.f64 y x x)))
(*.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y (*.f64 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)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 (fma.f64 y x y) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x y) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y (*.f64 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 y (*.f64 x y)) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 (fma.f64 y x y) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (fma.f64 x (neg.f64 x) (pow.f64 (fma.f64 y x y) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 x (fma.f64 (+.f64 x 1) y x))) (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 (fma.f64 y x y) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x 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 (+.f64 (fma.f64 y x y) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (fma.f64 x (neg.f64 x) (pow.f64 (fma.f64 y x y) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 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)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 (fma.f64 y x y) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 (fma.f64 y x y) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (fma.f64 x (neg.f64 x) (pow.f64 (fma.f64 y x y) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 y (*.f64 x y)) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 (fma.f64 y x y) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x 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 (+.f64 (fma.f64 y x y) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x x)) (+.f64 y (fma.f64 y x x)))
(/.f64 (fma.f64 x (neg.f64 x) (pow.f64 (fma.f64 y x y) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 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)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x y) 2) (*.f64 x (+.f64 (fma.f64 y x y) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x y) 2)))
(pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 1)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 2)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 3)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(pow.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3) 1/3)
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 2))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(log.f64 (exp.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x))))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 y (*.f64 x y)) x) 3))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(exp.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 y (*.f64 x y)) x)) 1))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 y (*.f64 x y)) x)))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(fma.f64 1 (+.f64 y (*.f64 x y)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 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 x (-.f64 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 y x (-.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) (sqrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 2) (cbrt.f64 (+.f64 y (*.f64 x y))) (neg.f64 x))
(fma.f64 (+.f64 y -1) x y)
(-.f64 (fma.f64 y x y) x)
(fma.f64 y x (-.f64 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 y (*.f64 x y)))) 1)
(fma.f64 y x y)
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 y (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x -1)) y)
(*.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 y (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x -1)) y)
(*.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 y (*.f64 x y)) 1)
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 x y))) 2)
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 x y))) 3)
(fma.f64 y x y)
(pow.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3) 1/3)
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 2))
(fma.f64 y x y)
(log.f64 (exp.f64 (+.f64 y (*.f64 x y))))
(fma.f64 y x y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 x y)))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x y)) 3))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 x 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 y (*.f64 x y))))
(fma.f64 y x y)

localize5.0ms (0.3%)

Compiler

Compiled 13 to 4 computations (69.2% saved)

eval21.0ms (1.1%)

Compiler

Compiled 1104 to 421 computations (61.9% saved)

prune15.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done011
Total86591
Error
0b
Counts
91 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
▶24.2b
(*.f64 (-.f64 y 1) x)
▶30.1b
(*.f64 (+.f64 1 x) y)
▶33.3b
(neg.f64 x)
38.5b
y
Compiler

Compiled 30 to 21 computations (30% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite69.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1422×add-sqr-sqrt
1406×*-un-lft-identity
1310×add-cube-cbrt
1294×add-cbrt-cube
1282×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114113
2174413
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (+.f64 1 x) y)
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 (+.f64 1 (+.f64 y (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))))))

simplify65.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1408×associate--r+
960×associate-/r*
886×+-commutative
796×*-commutative
768×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056408
1139400
2407384
31952384
43525384
55959384
Stop Event
1×node limit
Counts
32 → 32
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 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 x y) y)
(-.f64 (+.f64 1 (+.f64 y (*.f64 y x))) 1)
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (-.f64 (*.f64 x x) x)))
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 y 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 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 (+.f64 1 (+.f64 y (*.f64 y x))) 1)
(fma.f64 y x y)
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 y (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(/.f64 (-.f64 y (*.f64 y (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 y (/.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 y (+.f64 1 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 y (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 y (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(/.f64 (-.f64 y (*.f64 y (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 y (/.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 y (+.f64 1 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)
(fma.f64 y x y)
(pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))
(fma.f64 y x y)
(log.f64 (pow.f64 (exp.f64 y) (+.f64 1 x)))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))
(fma.f64 y x y)
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(*.f64 y (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) 1))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(*.f64 y (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))
(fma.f64 y x y)

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

rewrite51.0ms (2.7%)

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)))))))

simplify53.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1034×*-commutative
874×fma-def
688×associate-*r*
606×associate-*l*
604×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055422
1130422
2404422
32396422
44947422
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 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.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 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.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 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 x y) (*.f64 x -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 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 -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 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) 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))))
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 (+.f64 y -1) x) 1)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)
(*.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 -1 y))
(-.f64 (*.f64 x y) x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log.f64 (pow.f64 (exp.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 -1 y))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)

eval12.0ms (0.6%)

Compiler

Compiled 512 to 281 computations (45.1% saved)

prune9.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New59160
Fresh011
Picked011
Done033
Total59665
Error
0b
Counts
65 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
✓24.2b
(*.f64 (-.f64 y 1) x)
✓30.1b
(*.f64 (+.f64 1 x) y)
▶53.7b
(*.f64 y x)
✓33.3b
(neg.f64 x)
38.5b
y
Compiler

Compiled 35 to 24 computations (31.4% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval2.0ms (0.1%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(-.f64 (*.f64 (+.f64 x 1) y) x)
✓24.2b
(*.f64 (-.f64 y 1) x)
✓30.1b
(*.f64 (+.f64 1 x) y)
✓53.7b
(*.f64 y x)
✓33.3b
(neg.f64 x)
38.5b
y
Compiler

Compiled 35 to 24 computations (31.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
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)
✓24.2b
(*.f64 (-.f64 y 1) x)
✓30.1b
(*.f64 (+.f64 1 x) y)
✓53.7b
(*.f64 y x)
✓33.3b
(neg.f64 x)
38.5b
y
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes17.0ms (0.9%)

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

6.0ms
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 46 to 26 computations (43.5% saved)

regimes18.0ms (0.9%)

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

3 calls:

7.0ms
y
5.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 40 to 24 computations (40% saved)

regimes64.0ms (3.3%)

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

2 calls:

42.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
6.6b5x
5.7b5y
Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch71.0ms (3.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
14.0ms
3.0942816694844458e-40
1.28235500160882e-32
15.0ms
3.3794595754925733e-82
3.7400419428862365e-79
30.0ms
5.26572215786235e-118
1.5050591775724583e-116
12.0ms
-7.889757650419702e-47
-3.2868707991414816e-50
Results
66.0ms512×body256valid
Compiler

Compiled 370 to 285 computations (23% saved)

regimes93.0ms (4.8%)

Counts
3 → 7
Calls
Call 1
Inputs
y
(neg.f64 x)
(*.f64 y x)
Outputs
y
(*.f64 y x)
y
(neg.f64 x)
y
(neg.f64 x)
y
Calls

2 calls:

50.0ms
x
43.0ms
y
Results
ErrorSegmentsBranch
14.4b7x
12.9b7y
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch81.0ms (4.2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
14.0ms
3.0942816694844458e-40
1.28235500160882e-32
13.0ms
3.3794595754925733e-82
3.7400419428862365e-79
13.0ms
5.26572215786235e-118
1.5050591775724583e-116
12.0ms
-7.889757650419702e-47
-3.2868707991414816e-50
12.0ms
-1.9103755850804144e+135
-2.0246320964187036e+134
17.0ms
-6.850175835473881e+166
-3.585811138444931e+158
Results
67.0ms752×body256valid
5.0ms43×body256infinite
Compiler

Compiled 452 to 339 computations (25% saved)

regimes32.0ms (1.6%)

Accuracy

Total -47.9b remaining (-341.1%)

Threshold costs -47.9b (-341.1%)

Counts
2 → 5
Calls
Call 1
Inputs
y
(neg.f64 x)
Outputs
y
(neg.f64 x)
y
(neg.f64 x)
y
Calls

2 calls:

17.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
15.7b5x
14.1b5y
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch53.0ms (2.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
3.0942816694844458e-40
1.28235500160882e-32
12.0ms
3.3794595754925733e-82
3.7400419428862365e-79
10.0ms
5.26572215786235e-118
1.5050591775724583e-116
13.0ms
-7.889757650419702e-47
-3.2868707991414816e-50
Results
47.0ms511×body256valid
0.0ms1×body512valid
Compiler

Compiled 302 to 234 computations (22.5% saved)

simplify13.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
16×not-or
12×not-not
12×if-if-or-not
12×if-not
8×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061232
180232
290232
3103232
4111232
5119232
6121232
7123232
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 y -1684996666696915/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 (+.f64 1 x) y) (if (<=.f64 y 3549017208474643/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (neg.f64 x) (if (<=.f64 y 8864346199071777/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 5387679635856641/5986310706507378352962293074805895248510699696029696) (neg.f64 x) (*.f64 (+.f64 1 x) y)))))
(if (<=.f64 y -359999999999999987912139743013097490324551929566511452176891993813246851278573582863027858318183220232972602258087961652775447798841936201375756234707458588672) y (if (<=.f64 y -1900000000000000072727968241836993908699000564095309718792218681208513364430334617696192987760046862618085472210763953343044820095991808) (*.f64 y x) (if (<=.f64 y -2468256835981809/102844034832575377634685573909834406561420991602098741459288064) y (if (<=.f64 y 3052154799288193/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (neg.f64 x) (if (<=.f64 y 7475954625723185/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 7815727258416033/3064991081731777716716694054300618367237478244367204352) (neg.f64 x) y))))))
(if (<=.f64 y -7371860416799003/13164036458569648337239753460458804039861886925068638906788872192) y (if (<=.f64 y 5323525812711965/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (neg.f64 x) (if (<=.f64 y 3898176340555661/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) y (if (<=.f64 y 4384504911992709/1461501637330902918203684832716283019655932542976) (neg.f64 x) y))))
y
Outputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 y (+.f64 x 1)) x)
(if (<=.f64 y -1684996666696915/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 (+.f64 1 x) y) (if (<=.f64 y 3549017208474643/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (neg.f64 x) (if (<=.f64 y 8864346199071777/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 5387679635856641/5986310706507378352962293074805895248510699696029696) (neg.f64 x) (*.f64 (+.f64 1 x) y)))))
(if (<=.f64 y -1684996666696915/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 y (+.f64 x 1)) (if (<=.f64 y 3549017208474643/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (neg.f64 x) (if (<=.f64 y 8864346199071777/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 5387679635856641/5986310706507378352962293074805895248510699696029696) (neg.f64 x) (*.f64 y (+.f64 x 1))))))
(if (<=.f64 y -359999999999999987912139743013097490324551929566511452176891993813246851278573582863027858318183220232972602258087961652775447798841936201375756234707458588672) y (if (<=.f64 y -1900000000000000072727968241836993908699000564095309718792218681208513364430334617696192987760046862618085472210763953343044820095991808) (*.f64 y x) (if (<=.f64 y -2468256835981809/102844034832575377634685573909834406561420991602098741459288064) y (if (<=.f64 y 3052154799288193/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (neg.f64 x) (if (<=.f64 y 7475954625723185/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 7815727258416033/3064991081731777716716694054300618367237478244367204352) (neg.f64 x) y))))))
(if (<=.f64 y -359999999999999987912139743013097490324551929566511452176891993813246851278573582863027858318183220232972602258087961652775447798841936201375756234707458588672) y (if (<=.f64 y -1900000000000000072727968241836993908699000564095309718792218681208513364430334617696192987760046862618085472210763953343044820095991808) (*.f64 x y) (if (<=.f64 y -2468256835981809/102844034832575377634685573909834406561420991602098741459288064) y (if (<=.f64 y 3052154799288193/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (neg.f64 x) (if (<=.f64 y 7475954625723185/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) y (if (<=.f64 y 7815727258416033/3064991081731777716716694054300618367237478244367204352) (neg.f64 x) y))))))
(if (<=.f64 y -7371860416799003/13164036458569648337239753460458804039861886925068638906788872192) y (if (<=.f64 y 5323525812711965/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (neg.f64 x) (if (<=.f64 y 3898176340555661/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) y (if (<=.f64 y 4384504911992709/1461501637330902918203684832716283019655932542976) (neg.f64 x) y))))
y
Compiler

Compiled 115 to 70 computations (39.1% saved)

soundness113.0ms (5.8%)

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)

end51.0ms (2.7%)

Compiler

Compiled 105 to 58 computations (44.8% saved)

Profiling

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